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A dominating set for a graph G = ( V , E ) is a subset D of V such that every vertex not in

A dominating set for a graph G = (V, E) is a subset D of V such that every vertex not in D is adjacent to at least one member of D.

Describe a backtracking algorithm to determine whether a given graph G has a dominating set of size k or not.

Apply this algorithm to an example of your own choce and show the generated state space tree.

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