Question: Given a graph G = ( V , E ) and a positive integer r , the dominating set problem ( DSP ) is to

Given a graph G =(V,E) and a positive integer r, the dominating set problem (DSP) is to decide if there is a subset B V of size r such that every vertex that is not in B, has an adjacent vertex in B. Prove that the vertex cover problem is polynomial time reducible to DSP.

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