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Return minimum cardinality edge dominating set.
G : NetworkX graph
min_edge_dominating_set : set
Returns a set of dominating edges whose size is no more than 2 * OPT.
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 \(O(|E|)\).