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This documents an unmaintained version of NetworkX. Please upgrade to a maintained version and see the current NetworkX documentation.

min_edge_dominating_set

min_edge_dominating_set(G)[source]

Return minimum cardinality edge dominating set.

Parameters:G (NetworkX graph) – Undirected graph
Returns:min_edge_dominating_set – Returns a set of dominating edges whose size is no more than 2 * OPT.
Return type:set

Notes

The algorithm computes an approximate solution to the edge dominating set problem. The result is no more than 2 * OPT in terms of size of the set. Runtime of the algorithm is \(O(|E|)\).