networkx.algorithms.approximation.treewidth.treewidth_min_fill_in¶

treewidth_min_fill_in(G)[source]¶

Returns a treewidth decomposition using the Minimum Fill-in heuristic.

The heuristic chooses a node from the graph, where the number of edges added turning the neighbourhood of the chosen node into clique is as small as possible.

Parameters: G (NetworkX graph)
Returns: Treewidth decomposition – 2-tuple with treewidth and the corresponding decomposed tree.
Return type: (int, Graph) tuple