Computes an upper bound on the treewidth of graph G based on the max-cardinality heuristic for the elimination ordering.
Parameters: G (NetworkX graph) – The graph on which to compute an upper bound for the treewidth. Returns:
- treewidth_upper_bound (int) – An upper bound on the treewidth of the graph G.
- order (list) – An elimination order that induces the treewidth.
This example computes an upper bound for the treewidth of the \(K_4\) complete graph.
>>> K_4 = nx.complete_graph(4) >>> tw, order = dnx.max_cardinality_heuristic(K_4)
Based on the algorithm presented in [GD]