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2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 11), (1, 2), (3, 4), (3, 11), (5, 6), (5, 11), (6, 7), (7, 10), (8, 10), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 6), (0, 11), (1, 6), (1, 7), (2, 4), (2, 11), (3, 6), (3, 7), (3, 8), (4, 7), (4, 9), (4, 11), (5, 6), (5, 8), (6, 11), (7, 10), (7, 11), (8, 9), (10, 11), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "2" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 4), (0, 6), (0, 8), (0, 11), (1, 3), (1, 11), (2, 4), (2, 9), (3, 4), (3, 8), (3, 9), (4, 8), (4, 10), (5, 8), (6, 9), (7, 10), (8, 9), (9, 10), (10, 11), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "1" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 2), (0, 3), (0, 4), (0, 7), (0, 8), (1, 3), (1, 4), (1, 6), (1, 7), (2, 6), (2, 8), (3, 4), (3, 7), (3, 8), (4, 6), (4, 7), (4, 8), (4, 9), (5, 9), (6, 9), (7, 9), (8, 9), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "1" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 2), (4, 6), (6, 8), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 7), (1, 5), (2, 8), (2, 10), (3, 10), (4, 6), (4, 9), (5, 6), (5, 9), (6, 8), (8, 9), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 2), (0, 5), (0, 6), (1, 9), (1, 11), (2, 3), (2, 5), (2, 9), (2, 10), (2, 11), (3, 8), (3, 9), (3, 11), (4, 8), (5, 9), (5, 10), (5, 11), (6, 7), (6, 10), (7, 8), (8, 10), (9, 11), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "1" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 3), (0, 4), (0, 5), (1, 4), (1, 5), (1, 7), (2, 3), (2, 6), (2, 7), (3, 8), (3, 9), (4, 5), (4, 6), (4, 7), (5, 9), (6, 7), (6, 9), (6, 10), (7, 9), (7, 10), (9, 10), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "1" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 1), (0, 3), (0, 5), (0, 7), (0, 9), (0, 10), (0, 12), (0, 14), (1, 2), (1, 3), (1, 4), (1, 9), (1, 11), (1, 14), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (2, 9), (2, 10), (2, 12), (2, 13), (3, 6), (3, 8), (3, 9), (3, 11), (3, 12), (4, 6), (4, 7), (4, 8), (4, 10), (5, 7), (5, 9), (5, 14), (6, 8), (6, 10), (6, 12), (7, 8), (7, 10), (7, 11), (7, 12), (7, 13), (7, 14), (8, 9), (8, 11), (9, 11), (9, 12), (9, 13), (10, 11), (10, 12), (10, 14), (11, 12), (12, 14), (13, 14), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "4" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 2), (0, 5), (0, 7), (0, 11), (1, 4), (1, 8), (1, 9), (1, 11), (2, 4), (2, 5), (2, 6), (2, 8), (2, 10), (2, 11), (2, 12), (3, 4), (3, 5), (3, 7), (3, 11), (4, 5), (4, 6), (4, 7), (4, 10), (4, 11), (5, 7), (5, 8), (5, 12), (6, 10), (6, 11), (6, 12), (7, 8), (8, 12), (9, 10), (9, 12), (10, 11), (11, 12), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "3" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 1), (0, 2), (0, 4), (0, 5), (0, 9), (1, 6), (1, 12), (1, 13), (1, 15), (2, 5), (2, 13), (3, 15), (4, 6), (4, 9), (4, 11), (5, 6), (5, 12), (6, 7), (7, 10), (7, 11), (7, 14), (8, 13), (8, 15), (9, 14), (10, 12), (11, 12), (11, 15), (14, 15), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "1" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 1), (0, 7), (0, 10), (0, 12), (1, 6), (1, 10), (1, 13), (1, 14), (2, 3), (2, 5), (2, 6), (2, 7), (2, 11), (2, 12), (3, 5), (3, 6), (3, 7), (3, 10), (3, 12), (3, 14), (4, 8), (4, 9), (4, 11), (4, 13), (5, 6), (5, 8), (5, 11), (5, 13), (6, 11), (6, 13), (6, 14), (7, 10), (7, 12), (7, 13), (7, 14), (8, 12), (8, 13), (9, 10), (9, 11), (9, 12), (9, 13), (10, 13), (10, 14), (11, 13), (11, 14), (12, 13), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "4" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 2), (0, 9), (1, 6), (2, 7), (3, 6), (4, 6), (4, 9), (4, 10), (5, 8), (6, 8), (6, 10), (7, 9), (7, 10), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "1" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 1), (0, 4), (0, 8), (0, 11), (1, 2), (1, 9), (1, 13), (1, 14), (2, 6), (2, 8), (2, 12), (2, 13), (2, 14), (3, 9), (3, 13), (4, 5), (4, 12), (5, 7), (5, 8), (5, 9), (5, 11), (6, 12), (6, 13), (6, 15), (7, 10), (8, 14), (9, 12), (9, 15), (11, 13), (11, 14), (12, 13), (13, 14), (13, 15), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "1" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 1), (0, 3), (0, 4), (0, 6), (0, 8), (0, 9), (0, 14), (1, 10), (2, 8), (2, 9), (2, 10), (2, 11), (2, 12), (3, 5), (3, 10), (3, 13), (3, 14), (4, 5), (5, 9), (5, 14), (5, 15), (6, 7), (6, 9), (6, 12), (6, 13), (6, 15), (7, 9), (7, 12), (8, 10), (8, 11), (9, 11), (9, 14), (10, 12), (10, 13), (11, 15), (12, 15), (13, 14), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "2" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 1), (0, 3), (0, 4), (0, 7), (0, 9), (0, 12), (0, 15), (0, 17), (1, 2), (1, 3), (1, 8), (1, 10), (1, 11), (1, 12), (1, 13), (1, 14), (1, 15), (1, 16), (2, 4), (2, 5), (2, 9), (2, 11), (2, 13), (3, 4), (3, 5), (3, 8), (3, 9), (3, 14), (3, 17), (4, 6), (4, 7), (4, 9), (4, 10), (4, 11), (4, 12), (5, 7), (5, 9), (5, 12), (5, 13), (5, 15), (5, 17), (6, 7), (6, 8), (6, 10), (6, 11), (6, 14), (6, 17), (7, 8), (7, 9), (7, 15), (8, 13), (8, 14), (8, 15), (9, 11), (9, 14), (9, 15), (9, 16), (10, 13), (10, 16), (11, 12), (11, 13), (11, 14), (11, 16), (12, 13), (12, 15), (12, 17), (13, 14), (13, 17), (14, 15), (15, 16), (15, 17), (16, 17), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "5" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 10), (1, 3), (1, 7), (1, 9), (2, 4), (2, 5), (2, 6), (2, 9), (3, 4), (3, 5), (3, 7), (3, 9), (4, 7), (4, 8), (4, 10), (5, 8), (5, 10), (6, 7), (6, 8), (6, 10), (7, 9), (8, 10), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "1" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 2), (0, 9), (1, 2), (1, 3), (1, 7), (1, 9), (1, 10), (2, 9), (2, 10), (3, 6), (3, 7), (3, 8), (3, 9), (4, 6), (4, 7), (4, 9), (4, 10), (5, 9), (5, 10), (6, 8), (7, 9), (8, 10), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "2" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 4), (0, 8), (0, 10), (1, 2), (1, 5), (1, 8), (1, 10), (1, 12), (1, 15), (1, 16), (1, 17), (1, 18), (2, 7), (2, 10), (2, 17), (3, 5), (3, 6), (3, 7), (3, 8), (3, 10), (3, 14), (3, 17), (4, 5), (4, 15), (5, 13), (5, 15), (5, 18), (6, 8), (6, 11), (6, 12), (6, 15), (7, 14), (7, 18), (8, 12), (8, 15), (8, 17), (9, 14), (9, 17), (10, 12), (10, 14), (10, 17), (11, 16), (12, 15), (13, 14), (13, 15), (14, 16), (14, 17), (14, 18), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "2" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 3), (0, 4), (0, 10), (1, 6), (1, 8), (2, 3), (2, 6), (3, 10), (4, 9), (6, 7), (6, 8), (7, 10), (9, 10), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (1, 3), (1, 9), (4, 8), (5, 10), (6, 8), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 10), (1, 12), (1, 18), (2, 6), (2, 7), (2, 12), (3, 11), (3, 12), (3, 13), (5, 8), (5, 13), (5, 15), (6, 17), (6, 19), (7, 8), (7, 18), (8, 10), (8, 12), (8, 19), (9, 10), (9, 11), (9, 13), (9, 14), (11, 12), (11, 17), (16, 17), (16, 18), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 1), (0, 3), (0, 7), (0, 12), (1, 6), (1, 7), (1, 11), (2, 13), (3, 6), (3, 8), (3, 9), (4, 9), (4, 10), (4, 11), (5, 12), (6, 9), (6, 11), (6, 13), (7, 13), (7, 15), (8, 15), (9, 10), (11, 15), (12, 13), (12, 14), (12, 15), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "1" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 3), (0, 7), (0, 9), (0, 11), (0, 15), (0, 19), (1, 2), (1, 4), (1, 5), (1, 8), (1, 9), (1, 11), (1, 14), (1, 16), (1, 18), (1, 19), (2, 3), (2, 7), (2, 8), (2, 11), (2, 14), (2, 18), (2, 19), (3, 4), (3, 6), (3, 7), (3, 9), (3, 10), (3, 14), (3, 16), (3, 17), (3, 18), (3, 19), (4, 5), (4, 6), (4, 10), (4, 14), (4, 16), (4, 18), (5, 7), (5, 11), (5, 12), (5, 13), (5, 14), (5, 15), (5, 16), (5, 19), (6, 10), (6, 12), (6, 14), (6, 16), (6, 18), (7, 12), (7, 15), (7, 18), (8, 9), (8, 14), (8, 15), (8, 16), (8, 18), (9, 12), (9, 13), (9, 14), (9, 15), (9, 16), (9, 18), (9, 19), (10, 12), (10, 17), (10, 18), (10, 19), (11, 12), (11, 13), (11, 16), (11, 17), (11, 19), (12, 15), (12, 18), (12, 19), (13, 14), (13, 15), (13, 18), (14, 15), (14, 17), (14, 18), (15, 16), (15, 19), (16, 18), (16, 19), (17, 18), (18, 19), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "5" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 3), (0, 14), (1, 5), (1, 13), (1, 14), (2, 7), (2, 13), (4, 7), (4, 11), (5, 13), (5, 14), (5, 15), (6, 11), (7, 9), (7, 12), (8, 11), (8, 12), (8, 15), (9, 10), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "1" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 13), (1, 2), (1, 4), (1, 6), (1, 10), (1, 11), (1, 14), (2, 10), (4, 6), (4, 12), (6, 7), (6, 13), (6, 15), (7, 8), (7, 9), (7, 12), (7, 14), (8, 13), (8, 14), (9, 12), (10, 11), (11, 12), (11, 15), (13, 15), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 3), (0, 4), (1, 3), (1, 9), (2, 8), (4, 12), (5, 12), (14, 16), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 11), (1, 3), (1, 8), (2, 3), (2, 7), (2, 8), (2, 9), (3, 9), (4, 5), (6, 9), (7, 8), (11, 13), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 2), (0, 3), (0, 4), (0, 12), (1, 2), (1, 3), (1, 6), (1, 8), (1, 9), (1, 10), (1, 12), (2, 3), (2, 6), (2, 7), (2, 8), (2, 9), (2, 10), (2, 12), (3, 9), (3, 10), (3, 11), (3, 12), (4, 12), (5, 7), (5, 11), (6, 7), (6, 9), (6, 11), (8, 12), (9, 11), (10, 12), (11, 12), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "2" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 2), (1, 3), (1, 10), (1, 14), (2, 8), (2, 9), (2, 14), (3, 7), (3, 16), (5, 10), (6, 8), (6, 10), (8, 9), (8, 11), (9, 14), (13, 15), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 2), (0, 3), (0, 5), (0, 11), (0, 12), (0, 13), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (2, 3), (2, 4), (2, 9), (2, 10), (2, 11), (3, 4), (3, 6), (3, 7), (3, 8), (3, 9), (3, 12), (3, 14), (3, 15), (3, 16), (3, 17), (4, 9), (4, 10), (4, 12), (4, 17), (5, 7), (5, 9), (5, 11), (5, 13), (5, 16), (6, 10), (6, 14), (7, 11), (7, 12), (8, 10), (8, 13), (8, 15), (8, 16), (8, 17), (9, 12), (9, 14), (9, 16), (9, 17), (10, 11), (10, 12), (10, 13), (10, 14), (10, 15), (11, 13), (13, 14), (13, 15), (13, 16), (14, 15), (14, 16), (14, 17), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "4" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 5), (0, 13), (0, 17), (0, 18), (1, 4), (1, 7), (1, 15), (1, 17), (2, 4), (2, 7), (2, 16), (3, 8), (3, 15), (3, 16), (4, 8), (4, 10), (4, 11), (4, 13), (5, 10), (5, 12), (5, 13), (5, 14), (5, 17), (5, 18), (6, 7), (6, 10), (6, 13), (6, 15), (7, 17), (8, 9), (9, 17), (10, 13), (10, 17), (11, 18), (12, 16), (13, 14), (14, 15), (14, 17), (16, 17), (17, 18), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "2" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 1), (0, 4), (0, 8), (0, 10), (0, 11), (0, 12), (0, 14), (0, 16), (1, 3), (1, 5), (1, 6), (1, 9), (1, 10), (1, 14), (1, 15), (2, 5), (2, 10), (2, 15), (3, 13), (3, 14), (3, 15), (3, 16), (3, 17), (4, 6), (4, 7), (4, 12), (4, 16), (4, 17), (5, 7), (5, 9), (5, 11), (6, 7), (6, 12), (6, 16), (7, 9), (7, 13), (7, 16), (8, 12), (8, 13), (8, 14), (9, 12), (9, 15), (9, 16), (9, 17), (10, 11), (10, 13), (11, 12), (11, 14), (11, 16), (11, 17), (12, 16), (13, 14), (13, 16), (13, 17), (15, 16), (16, 17), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "3" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 3), (0, 4), (0, 5), (0, 11), (0, 14), (0, 15), (0, 16), (0, 17), (0, 18), (1, 2), (1, 3), (1, 5), (1, 6), (1, 7), (1, 8), (1, 11), (1, 16), (1, 17), (2, 3), (2, 11), (2, 13), (2, 17), (2, 18), (3, 4), (3, 7), (3, 13), (3, 14), (3, 17), (3, 18), (4, 7), (4, 8), (4, 9), (4, 10), (4, 14), (4, 16), (4, 18), (5, 6), (5, 10), (5, 11), (5, 13), (5, 14), (5, 15), (5, 17), (5, 18), (6, 7), (6, 10), (6, 11), (6, 17), (6, 18), (7, 8), (7, 11), (7, 13), (7, 18), (8, 11), (8, 12), (8, 13), (8, 14), (8, 15), (9, 16), (9, 18), (10, 12), (10, 13), (10, 15), (11, 12), (11, 15), (11, 16), (11, 17), (11, 18), (12, 15), (12, 17), (13, 14), (13, 15), (13, 17), (15, 18), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "3" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (1, 7), (1, 11), (2, 4), (2, 7), (2, 11), (4, 6), (4, 8), (4, 9), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 2), (0, 6), (0, 7), (0, 9), (0, 11), (0, 12), (0, 14), (1, 3), (1, 6), (1, 8), (1, 11), (1, 14), (2, 3), (2, 7), (2, 11), (3, 6), (3, 8), (3, 9), (3, 10), (3, 11), (3, 12), (4, 7), (4, 8), (4, 9), (4, 10), (4, 11), (4, 13), (4, 14), (5, 6), (5, 7), (5, 9), (5, 10), (5, 14), (6, 7), (6, 8), (6, 9), (6, 12), (6, 14), (7, 8), (7, 9), (7, 12), (7, 13), (7, 14), (8, 11), (8, 13), (8, 14), (9, 11), (9, 12), (10, 11), (10, 13), (11, 13), (12, 13), (12, 14), (13, 14), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "4" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 9), (0, 10), (0, 13), (0, 17), (1, 2), (1, 7), (1, 10), (1, 11), (1, 14), (2, 7), (2, 12), (2, 14), (2, 16), (3, 7), (3, 8), (3, 11), (3, 12), (3, 15), (4, 6), (4, 7), (4, 9), (4, 11), (4, 13), (5, 9), (5, 12), (5, 15), (5, 16), (6, 7), (6, 11), (6, 12), (6, 13), (6, 14), (6, 16), (7, 11), (7, 15), (8, 10), (8, 11), (8, 12), (8, 14), (9, 12), (9, 15), (10, 11), (10, 13), (10, 15), (10, 16), (11, 16), (11, 17), (12, 16), (13, 14), (14, 16), (14, 17), (16, 17), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "4" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 8), (1, 8), (1, 10), (1, 11), (2, 6), (2, 10), (3, 6), (3, 8), (4, 7), (4, 8), (8, 11), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 5), (0, 12), (0, 14), (0, 15), (0, 16), (1, 7), (1, 8), (1, 11), (1, 12), (1, 16), (2, 4), (2, 14), (2, 16), (3, 5), (3, 8), (4, 5), (4, 8), (4, 9), (6, 7), (6, 8), (6, 11), (7, 9), (7, 13), (7, 16), (8, 16), (9, 12), (9, 13), (9, 16), (11, 15), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0" |
2node_connectivity
| 1undirected
| Given an undirected graph with edges (0, 6), (0, 10), (0, 12), (0, 13), (0, 16), (0, 17), (1, 3), (1, 7), (1, 9), (2, 5), (2, 11), (2, 15), (2, 16), (3, 8), (3, 9), (3, 15), (4, 5), (4, 6), (4, 7), (4, 9), (4, 10), (4, 13), (4, 15), (4, 19), (5, 9), (5, 10), (5, 13), (5, 16), (6, 7), (6, 9), (6, 10), (6, 13), (6, 19), (7, 10), (7, 12), (7, 13), (7, 18), (7, 19), (8, 9), (8, 17), (8, 18), (8, 19), (9, 10), (9, 14), (9, 15), (9, 19), (10, 11), (10, 12), (10, 17), (11, 12), (11, 13), (11, 14), (11, 17), (12, 15), (12, 19), (14, 15), (14, 16), (14, 18), (14, 19), what is its NodeConnectivity, Node connectivity is equal to the minimum number of nodes that must be removed to disconnect G or render it trivial.? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "node_connectivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "3" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 2), (0, 8), (1, 2), (1, 5), (1, 9), (1, 10), (2, 3), (2, 6), (3, 5), (3, 6), (3, 10), (4, 6), (5, 6), (5, 9), (6, 8), (6, 9), (7, 10), (9, 10), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.28" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 1), (0, 10), (1, 4), (1, 10), (2, 6), (2, 7), (2, 11), (3, 9), (3, 12), (4, 8), (4, 9), (5, 6), (5, 7), (5, 8), (5, 9), (5, 12), (6, 10), (6, 11), (6, 12), (7, 10), (8, 10), (8, 11), (9, 12), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.23" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 12), (1, 4), (1, 12), (2, 5), (2, 6), (2, 9), (2, 12), (4, 7), (5, 8), (6, 7), (7, 8), (7, 10), (7, 11), (7, 12), (8, 10), (9, 11), (10, 11), (11, 12), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.19" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 1), (0, 3), (0, 6), (0, 8), (0, 10), (0, 14), (1, 3), (1, 5), (1, 8), (1, 10), (1, 15), (1, 16), (2, 4), (2, 6), (2, 8), (2, 9), (2, 11), (2, 13), (3, 5), (3, 8), (3, 10), (3, 11), (3, 12), (3, 13), (3, 16), (3, 17), (3, 18), (4, 5), (4, 12), (4, 15), (4, 16), (5, 6), (5, 7), (5, 8), (5, 9), (5, 10), (5, 11), (5, 12), (5, 14), (5, 16), (6, 8), (6, 9), (6, 11), (6, 13), (7, 8), (7, 9), (7, 12), (7, 15), (7, 16), (7, 17), (8, 9), (8, 11), (8, 16), (8, 18), (9, 11), (9, 12), (9, 14), (9, 16), (9, 17), (9, 18), (10, 12), (10, 14), (10, 18), (11, 12), (11, 13), (11, 15), (11, 16), (11, 17), (11, 18), (12, 13), (12, 14), (12, 15), (12, 17), (13, 18), (14, 15), (14, 16), (14, 18), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.47" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 4), (0, 12), (0, 16), (1, 4), (1, 5), (1, 12), (1, 13), (1, 14), (2, 7), (2, 13), (3, 4), (3, 7), (3, 9), (4, 10), (5, 6), (5, 13), (6, 7), (6, 8), (6, 9), (6, 15), (9, 11), (9, 12), (10, 14), (10, 16), (11, 12), (11, 15), (12, 14), (13, 15), (13, 16), (14, 15), (15, 16), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.13" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 2), (0, 4), (0, 8), (0, 9), (1, 8), (1, 9), (1, 10), (1, 12), (1, 17), (2, 3), (2, 7), (2, 8), (2, 12), (2, 13), (2, 15), (3, 4), (3, 5), (3, 6), (3, 8), (3, 9), (3, 10), (3, 12), (3, 13), (3, 16), (4, 7), (4, 9), (4, 10), (5, 7), (5, 9), (5, 12), (5, 14), (5, 15), (5, 16), (6, 11), (6, 12), (6, 16), (7, 8), (7, 9), (7, 11), (7, 13), (7, 14), (8, 10), (8, 14), (10, 11), (10, 12), (10, 16), (12, 13), (12, 14), (14, 17), (15, 16), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.31" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 2), (0, 3), (0, 7), (0, 15), (1, 3), (1, 13), (1, 16), (1, 17), (2, 4), (2, 8), (3, 7), (3, 11), (3, 18), (4, 5), (4, 7), (4, 14), (4, 16), (5, 6), (5, 8), (5, 11), (5, 14), (5, 16), (6, 11), (6, 16), (7, 8), (7, 9), (7, 10), (7, 14), (7, 17), (8, 11), (8, 12), (8, 14), (9, 12), (9, 15), (10, 14), (11, 14), (11, 16), (12, 15), (13, 17), (14, 17), (15, 17), (16, 17), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.31" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 3), (0, 5), (0, 10), (0, 11), (1, 4), (1, 6), (1, 8), (1, 9), (1, 12), (2, 6), (2, 10), (2, 14), (2, 17), (3, 7), (3, 8), (3, 13), (3, 15), (3, 17), (4, 5), (4, 8), (4, 11), (4, 14), (4, 16), (5, 8), (5, 9), (5, 11), (5, 15), (5, 16), (6, 9), (6, 10), (6, 13), (6, 14), (6, 16), (6, 17), (7, 16), (8, 14), (9, 14), (9, 16), (10, 13), (10, 15), (10, 17), (11, 12), (11, 13), (11, 17), (12, 16), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.24" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 5), (0, 7), (0, 8), (1, 6), (1, 9), (1, 10), (2, 4), (3, 11), (4, 5), (4, 6), (4, 7), (4, 9), (4, 10), (5, 7), (5, 8), (7, 11), (9, 10), (9, 11), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.32" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 1), (0, 3), (0, 4), (0, 6), (0, 7), (0, 9), (0, 10), (0, 11), (0, 14), (0, 16), (1, 2), (1, 5), (1, 6), (1, 9), (1, 10), (1, 12), (1, 13), (1, 19), (2, 4), (2, 7), (2, 8), (2, 9), (2, 10), (2, 11), (2, 13), (2, 19), (3, 4), (3, 10), (3, 16), (3, 18), (3, 19), (4, 5), (4, 6), (4, 7), (4, 10), (4, 13), (4, 16), (4, 17), (4, 19), (5, 6), (5, 9), (5, 10), (5, 12), (5, 13), (5, 14), (5, 16), (5, 18), (5, 19), (6, 7), (6, 13), (6, 14), (6, 15), (6, 17), (6, 18), (7, 8), (7, 9), (7, 15), (7, 16), (7, 18), (7, 19), (8, 9), (8, 11), (8, 13), (8, 16), (8, 18), (8, 19), (9, 10), (9, 11), (9, 12), (9, 14), (9, 16), (9, 17), (9, 18), (10, 13), (10, 15), (10, 19), (11, 15), (11, 18), (11, 19), (12, 16), (12, 17), (13, 14), (13, 15), (13, 16), (13, 17), (13, 18), (13, 19), (14, 15), (14, 18), (14, 19), (15, 16), (15, 18), (16, 18), (18, 19), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.49" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 1), (0, 9), (0, 10), (1, 4), (1, 6), (1, 7), (2, 3), (2, 4), (2, 5), (2, 7), (2, 8), (2, 9), (2, 10), (3, 6), (3, 10), (4, 5), (4, 10), (5, 9), (6, 7), (6, 8), (7, 8), (7, 9), (7, 10), (8, 9), (9, 10), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.42" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 1), (0, 2), (0, 5), (0, 7), (0, 9), (0, 12), (0, 16), (1, 7), (1, 11), (1, 13), (1, 14), (1, 16), (2, 3), (2, 4), (2, 7), (2, 10), (2, 13), (2, 15), (3, 5), (3, 7), (3, 8), (3, 9), (3, 10), (3, 13), (3, 14), (4, 6), (5, 7), (5, 9), (5, 10), (5, 15), (5, 16), (6, 7), (6, 10), (7, 9), (8, 9), (8, 10), (8, 11), (8, 12), (8, 16), (9, 10), (9, 11), (10, 13), (12, 16), (13, 16), (14, 15), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.35" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 4), (0, 6), (0, 10), (1, 8), (1, 10), (1, 11), (2, 7), (3, 5), (3, 11), (4, 5), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 5), (0, 6), (0, 7), (1, 5), (1, 7), (1, 9), (1, 13), (2, 4), (2, 13), (3, 7), (3, 10), (4, 6), (4, 7), (4, 8), (4, 10), (6, 7), (6, 8), (6, 10), (7, 9), (7, 11), (7, 12), (7, 14), (8, 9), (10, 12), (11, 12), (11, 14), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.24" |
3transitivity
| 0directed
| Given an undirected graph with edges (1, 2), (1, 9), (2, 5), (2, 7), (3, 4), (3, 5), (3, 8), (4, 6), (4, 7), (5, 6), (5, 10), (6, 9), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 1), (0, 9), (0, 11), (1, 7), (1, 9), (2, 7), (2, 11), (2, 13), (3, 5), (3, 9), (4, 11), (4, 12), (5, 8), (5, 12), (5, 13), (6, 11), (6, 12), (6, 13), (7, 8), (7, 9), (7, 10), (7, 12), (8, 9), (10, 11), (11, 13), (12, 13), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.25" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 3), (2, 5), (2, 8), (2, 9), (2, 11), (4, 13), (6, 8), (6, 9), (6, 11), (10, 11), (12, 13), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 2), (0, 4), (0, 10), (0, 12), (0, 13), (1, 4), (1, 5), (1, 6), (1, 7), (1, 9), (1, 10), (1, 12), (1, 13), (2, 3), (2, 5), (2, 9), (2, 10), (2, 12), (3, 7), (3, 9), (3, 10), (3, 11), (4, 5), (4, 7), (4, 9), (4, 11), (4, 12), (4, 13), (5, 9), (5, 10), (5, 12), (6, 8), (7, 11), (8, 10), (8, 12), (10, 12), (10, 13), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.46" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 1), (0, 5), (0, 7), (0, 8), (1, 6), (2, 4), (2, 5), (2, 6), (2, 7), (2, 8), (3, 5), (3, 6), (3, 7), (3, 8), (3, 10), (3, 11), (4, 6), (4, 7), (4, 10), (4, 11), (5, 8), (5, 9), (5, 10), (6, 8), (6, 10), (7, 9), (7, 11), (8, 11), (9, 10), (9, 11), (10, 11), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.39" |
3transitivity
| 0directed
| Given an undirected graph with edges (1, 2), (2, 5), (2, 9), (3, 9), (3, 10), (4, 6), (5, 8), (6, 7), (7, 8), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 1), (0, 2), (0, 5), (0, 6), (0, 9), (1, 2), (1, 4), (1, 5), (1, 7), (1, 8), (2, 3), (2, 9), (3, 5), (3, 8), (3, 9), (4, 6), (4, 8), (4, 9), (5, 6), (5, 7), (5, 9), (6, 8), (6, 9), (7, 8), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.44" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 1), (0, 2), (0, 5), (0, 11), (0, 13), (0, 14), (1, 3), (1, 5), (1, 12), (1, 15), (2, 5), (2, 8), (2, 13), (2, 14), (3, 4), (3, 5), (3, 9), (3, 10), (3, 12), (3, 13), (4, 9), (4, 15), (5, 6), (5, 7), (6, 12), (7, 10), (8, 11), (8, 13), (9, 10), (9, 14), (10, 15), (11, 14), (11, 15), (13, 15), (14, 15), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.24" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 1), (0, 5), (0, 8), (1, 2), (1, 5), (1, 9), (2, 5), (2, 8), (2, 9), (3, 4), (4, 5), (4, 7), (4, 8), (8, 9), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.33" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 1), (1, 4), (1, 9), (2, 10), (2, 11), (3, 9), (4, 11), (4, 13), (5, 6), (5, 8), (5, 13), (6, 10), (7, 8), (7, 11), (8, 10), (8, 12), (9, 10), (10, 13), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 3), (0, 6), (0, 10), (1, 3), (1, 5), (2, 5), (2, 7), (2, 9), (4, 10), (6, 7), (7, 8), (7, 9), (9, 10), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.14" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 8), (1, 2), (1, 3), (1, 4), (1, 10), (1, 11), (2, 4), (2, 5), (2, 10), (2, 11), (2, 12), (2, 14), (3, 8), (3, 9), (4, 9), (4, 15), (5, 7), (5, 8), (5, 12), (5, 13), (6, 9), (6, 14), (7, 8), (8, 11), (8, 13), (8, 15), (9, 11), (9, 15), (10, 14), (11, 15), (13, 14), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.27" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 2), (0, 4), (0, 5), (0, 7), (0, 9), (0, 12), (0, 14), (0, 15), (0, 17), (1, 2), (1, 6), (1, 9), (1, 10), (1, 11), (1, 13), (1, 14), (1, 15), (1, 16), (2, 3), (2, 5), (2, 6), (2, 11), (2, 15), (3, 7), (3, 8), (3, 9), (3, 12), (3, 13), (4, 7), (4, 8), (4, 10), (4, 11), (4, 12), (4, 13), (4, 14), (4, 16), (5, 6), (5, 8), (5, 9), (5, 11), (5, 12), (5, 13), (5, 15), (6, 9), (6, 10), (6, 14), (6, 15), (6, 17), (7, 10), (7, 12), (7, 13), (7, 14), (7, 17), (8, 10), (8, 11), (8, 16), (9, 13), (9, 14), (10, 11), (10, 12), (10, 13), (10, 15), (10, 16), (10, 17), (11, 16), (12, 13), (12, 17), (13, 17), (14, 15), (14, 16), (14, 17), (15, 17), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.47" |
3transitivity
| 0directed
| Given an undirected graph with edges (1, 9), (1, 10), (2, 8), (2, 13), (3, 6), (3, 12), (4, 7), (4, 8), (5, 12), (5, 13), (6, 7), (7, 13), (8, 10), (8, 12), (8, 13), (9, 13), (11, 12), (11, 13), (11, 14), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.07" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 9), (0, 10), (0, 11), (1, 2), (1, 5), (1, 6), (1, 11), (2, 11), (3, 4), (3, 7), (4, 5), (4, 9), (4, 11), (5, 6), (5, 7), (5, 9), (5, 10), (7, 11), (8, 11), (9, 11), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.42" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 8), (1, 9), (1, 10), (3, 5), (3, 9), (4, 11), (7, 9), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 4), (0, 6), (0, 8), (0, 18), (1, 2), (1, 8), (1, 13), (1, 18), (2, 3), (2, 4), (2, 5), (2, 6), (2, 8), (3, 7), (4, 6), (4, 9), (4, 11), (4, 12), (4, 14), (4, 15), (5, 10), (5, 17), (5, 18), (6, 7), (6, 8), (6, 13), (6, 17), (7, 8), (7, 14), (8, 10), (8, 14), (9, 12), (10, 11), (10, 14), (14, 18), (15, 16), (16, 17), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.19" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 3), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (0, 14), (0, 15), (1, 6), (1, 12), (1, 15), (1, 17), (2, 3), (2, 4), (2, 11), (2, 16), (3, 4), (3, 14), (3, 16), (3, 17), (3, 18), (4, 5), (4, 8), (4, 9), (4, 13), (5, 6), (5, 8), (5, 9), (5, 13), (5, 14), (7, 9), (7, 10), (7, 12), (7, 17), (8, 13), (8, 14), (8, 18), (9, 11), (9, 14), (9, 17), (10, 12), (10, 17), (11, 12), (11, 13), (11, 15), (12, 13), (12, 15), (14, 15), (14, 17), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.34" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 1), (0, 6), (0, 16), (1, 3), (2, 7), (2, 11), (2, 14), (2, 18), (3, 9), (4, 12), (4, 16), (5, 8), (6, 14), (6, 16), (7, 15), (7, 17), (8, 16), (8, 17), (9, 18), (10, 15), (10, 17), (10, 18), (17, 18), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.13" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 1), (0, 2), (0, 5), (0, 7), (0, 8), (0, 9), (1, 3), (1, 7), (1, 11), (2, 7), (2, 9), (2, 10), (2, 11), (3, 5), (3, 6), (3, 7), (4, 5), (4, 6), (4, 7), (4, 10), (5, 6), (5, 7), (5, 8), (5, 9), (6, 8), (6, 9), (6, 10), (6, 11), (7, 8), (7, 9), (7, 11), (8, 9), (8, 10), (8, 11), (9, 10), (9, 11), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.54" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 3), (0, 5), (0, 7), (0, 9), (1, 2), (1, 5), (1, 6), (1, 7), (1, 8), (2, 5), (2, 7), (2, 9), (5, 9), (6, 8), (7, 8), (7, 9), (8, 10), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.47" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 1), (0, 4), (0, 5), (0, 8), (0, 12), (0, 14), (0, 15), (0, 19), (1, 4), (1, 10), (1, 11), (1, 12), (1, 14), (1, 16), (1, 18), (2, 5), (2, 6), (2, 7), (2, 9), (2, 10), (3, 10), (3, 13), (3, 15), (3, 17), (3, 18), (4, 5), (4, 9), (4, 11), (4, 15), (4, 19), (5, 7), (5, 10), (5, 11), (6, 9), (6, 14), (6, 16), (6, 17), (6, 18), (6, 19), (7, 15), (7, 18), (8, 11), (8, 12), (8, 18), (9, 11), (9, 13), (9, 14), (9, 15), (9, 17), (9, 19), (10, 11), (10, 19), (11, 15), (11, 16), (11, 17), (11, 19), (12, 13), (12, 17), (12, 19), (14, 18), (14, 19), (16, 19), (17, 19), (18, 19), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.32" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 4), (0, 7), (0, 8), (1, 3), (1, 4), (1, 8), (1, 10), (2, 3), (2, 6), (2, 7), (2, 8), (3, 4), (4, 5), (4, 9), (5, 6), (5, 8), (5, 10), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.07" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 5), (0, 8), (0, 9), (1, 2), (1, 3), (1, 5), (1, 7), (1, 8), (1, 9), (2, 4), (3, 4), (4, 5), (4, 6), (5, 9), (6, 7), (6, 9), (8, 9), (9, 10), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.22" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 6), (2, 3), (2, 5), (3, 11), (3, 13), (4, 11), (5, 8), (6, 10), (6, 12), (8, 10), (8, 11), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0" |
3transitivity
| 0directed
| Given an undirected graph with edges (0, 3), (0, 4), (0, 5), (0, 7), (0, 12), (1, 3), (1, 4), (1, 5), (1, 7), (1, 8), (1, 9), (1, 10), (1, 11), (2, 5), (2, 8), (2, 12), (2, 14), (3, 5), (3, 7), (3, 9), (3, 11), (4, 5), (4, 6), (4, 15), (5, 6), (5, 13), (5, 15), (7, 11), (7, 12), (8, 9), (8, 11), (8, 14), (9, 10), (11, 12), (11, 14), (12, 14), (12, 15), (13, 14), (14, 15), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "directed", "num_workers": 1} | "0.37" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 2), (0, 4), (0, 6), (0, 10), (1, 3), (1, 5), (1, 8), (1, 11), (1, 12), (2, 3), (2, 6), (2, 9), (2, 11), (2, 13), (3, 6), (3, 8), (3, 10), (3, 11), (3, 12), (4, 6), (4, 7), (4, 12), (5, 6), (5, 8), (5, 11), (5, 13), (6, 7), (6, 9), (6, 14), (7, 8), (7, 12), (7, 13), (8, 12), (8, 14), (9, 12), (9, 13), (9, 14), (10, 11), (11, 14), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.31" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 4), (0, 6), (0, 7), (0, 8), (0, 10), (0, 11), (1, 2), (1, 3), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (1, 10), (1, 15), (2, 3), (2, 4), (2, 6), (2, 8), (2, 9), (2, 11), (2, 12), (2, 13), (2, 15), (3, 5), (3, 8), (3, 10), (3, 15), (4, 5), (4, 6), (4, 7), (4, 8), (4, 9), (4, 11), (4, 12), (5, 13), (6, 7), (6, 8), (6, 9), (6, 12), (6, 14), (6, 15), (7, 8), (7, 9), (7, 13), (7, 14), (8, 9), (8, 11), (8, 12), (8, 14), (8, 15), (9, 11), (9, 14), (9, 15), (10, 11), (10, 12), (10, 13), (10, 14), (11, 14), (11, 15), (12, 14), (13, 14), (13, 15), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.53" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 1), (0, 4), (0, 5), (0, 6), (0, 14), (0, 15), (0, 18), (1, 6), (1, 8), (1, 9), (1, 12), (1, 14), (1, 17), (2, 4), (2, 5), (2, 7), (2, 11), (2, 13), (2, 17), (3, 6), (3, 7), (3, 11), (3, 18), (4, 10), (4, 11), (4, 14), (4, 15), (4, 18), (5, 15), (5, 16), (5, 17), (6, 8), (6, 13), (6, 14), (7, 8), (7, 9), (7, 13), (7, 17), (7, 18), (8, 10), (8, 12), (8, 13), (8, 15), (9, 12), (9, 15), (10, 16), (10, 18), (11, 18), (12, 13), (12, 14), (13, 17), (13, 18), (14, 15), (14, 16), (14, 18), (15, 17), (16, 18), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.32" |
3transitivity
| 1undirected
| Given an undirected graph with edges (2, 3), (2, 12), (2, 18), (3, 7), (3, 16), (3, 17), (4, 6), (5, 7), (6, 16), (7, 12), (8, 16), (9, 10), (9, 16), (9, 17), (12, 16), (14, 16), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0" |
3transitivity
| 1undirected
| Given an undirected graph with edges (1, 7), (1, 10), (2, 5), (2, 6), (2, 8), (2, 10), (3, 9), (4, 9), (5, 6), (5, 7), (5, 9), (6, 8), (7, 9), (7, 10), (8, 9), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.32" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 7), (0, 8), (0, 10), (0, 11), (1, 2), (1, 3), (1, 5), (1, 7), (1, 8), (1, 9), (1, 12), (2, 4), (2, 5), (2, 6), (2, 13), (3, 5), (3, 7), (3, 10), (3, 12), (4, 5), (4, 6), (4, 8), (4, 9), (4, 12), (5, 6), (5, 7), (5, 10), (5, 11), (5, 13), (6, 8), (6, 9), (7, 8), (7, 9), (7, 10), (7, 12), (8, 11), (8, 13), (9, 11), (10, 13), (11, 13), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.38" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 7), (0, 11), (0, 12), (1, 2), (1, 5), (1, 6), (1, 7), (1, 9), (1, 10), (1, 12), (2, 4), (2, 9), (3, 4), (3, 5), (3, 7), (3, 10), (3, 12), (4, 6), (4, 10), (4, 11), (5, 8), (5, 9), (5, 11), (5, 12), (6, 8), (6, 12), (8, 9), (8, 11), (8, 12), (9, 11), (9, 13), (10, 12), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.32" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 3), (0, 6), (0, 7), (0, 8), (0, 9), (1, 4), (1, 6), (1, 7), (1, 8), (1, 10), (4, 9), (4, 10), (5, 7), (6, 7), (7, 8), (7, 9), (8, 9), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.44" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 2), (0, 3), (0, 4), (0, 6), (0, 9), (1, 3), (1, 4), (1, 9), (1, 11), (1, 12), (1, 13), (1, 15), (2, 3), (2, 4), (2, 5), (2, 13), (3, 4), (3, 8), (3, 11), (3, 12), (4, 7), (4, 9), (4, 12), (4, 15), (5, 9), (5, 12), (5, 14), (6, 7), (6, 8), (6, 10), (6, 11), (6, 14), (6, 15), (7, 8), (7, 11), (8, 9), (8, 12), (9, 11), (9, 12), (9, 15), (10, 12), (10, 15), (11, 12), (11, 13), (11, 14), (11, 15), (13, 14), (14, 15), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.38" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 1), (0, 4), (0, 6), (0, 8), (0, 9), (1, 4), (1, 5), (2, 5), (2, 6), (2, 8), (2, 9), (3, 4), (3, 5), (3, 6), (3, 9), (4, 5), (4, 6), (5, 7), (6, 9), (7, 8), (8, 9), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.42" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 3), (0, 6), (0, 7), (1, 5), (1, 9), (1, 14), (2, 3), (2, 10), (3, 13), (5, 7), (5, 8), (6, 8), (6, 10), (6, 13), (6, 14), (7, 9), (8, 10), (8, 14), (9, 11), (9, 13), (9, 14), (11, 13), (12, 13), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.19" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 3), (0, 4), (0, 5), (0, 10), (0, 11), (1, 9), (1, 12), (1, 15), (2, 3), (2, 5), (2, 6), (2, 8), (2, 11), (2, 13), (2, 14), (2, 15), (3, 5), (3, 6), (3, 8), (3, 12), (3, 13), (4, 5), (4, 10), (4, 11), (4, 14), (5, 7), (5, 12), (5, 13), (5, 16), (6, 8), (6, 9), (6, 12), (6, 14), (6, 15), (7, 9), (7, 12), (7, 13), (7, 15), (8, 11), (8, 16), (9, 10), (10, 15), (10, 16), (11, 15), (14, 15), (14, 16), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.30" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 1), (0, 2), (0, 7), (0, 8), (0, 9), (0, 10), (0, 12), (1, 7), (1, 8), (1, 10), (1, 11), (1, 12), (2, 4), (2, 8), (2, 9), (2, 10), (2, 11), (2, 12), (3, 4), (3, 11), (4, 5), (4, 8), (4, 11), (5, 7), (5, 11), (5, 12), (7, 12), (10, 11), (11, 12), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.47" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 5), (0, 9), (0, 10), (0, 12), (1, 7), (1, 10), (1, 13), (2, 5), (3, 5), (3, 6), (3, 8), (3, 11), (3, 13), (4, 7), (4, 9), (4, 12), (5, 6), (5, 8), (5, 12), (5, 13), (6, 7), (6, 9), (7, 8), (7, 11), (8, 9), (8, 11), (9, 11), (9, 12), (12, 13), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.28" |
3transitivity
| 1undirected
| Given an undirected graph with edges (1, 3), (1, 8), (2, 5), (2, 7), (2, 10), (3, 6), (4, 8), (7, 8), (9, 11), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 5), (0, 7), (1, 5), (1, 8), (1, 14), (2, 10), (2, 13), (3, 8), (3, 11), (3, 14), (4, 9), (5, 6), (5, 10), (5, 12), (7, 14), (8, 13), (8, 15), (10, 11), (14, 15), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 4), (0, 11), (0, 13), (2, 6), (4, 8), (8, 11), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 3), (0, 7), (0, 8), (0, 10), (1, 7), (1, 8), (1, 10), (2, 9), (2, 10), (2, 11), (3, 5), (3, 6), (3, 7), (5, 6), (5, 9), (5, 11), (6, 9), (6, 10), (6, 11), (8, 10), (9, 10), (10, 11), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.41" |
3transitivity
| 1undirected
| Given an undirected graph with edges (0, 6), (0, 10), (1, 2), (1, 5), (1, 8), (1, 9), (1, 10), (2, 3), (2, 4), (2, 5), (2, 6), (3, 7), (4, 5), (4, 7), (5, 7), (6, 10), (7, 8), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0.27" |
3transitivity
| 1undirected
| Given an undirected graph with edges (1, 6), (6, 7), (7, 8), (8, 9), what is its Transitivity, the transitivity? Return the answer in \boxed{} format. If the answer is a floating point number, round it to 2 decimal places. If the graph is not connected and the property is undefined, return 'None'. | {"task": "transitivity", "samples": 40, "graph_type": "undirected", "num_workers": 1} | "0" |