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min_edge_dominating_set

min_edge_dominating_set(G)

Return minimum cardinality edge dominating set.

Parameters :

G : NetworkX graph

Undirected graph

Returns :

min_edge_dominating_set : set

Returns a set of dominating edges whose size is no more than 2 * OPT.

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 \(O(|E|)\).