Question: Consider the following two problems: VERTEX COVER: Given an undirected graph G = (V. E) and a positive integer k, is there a subset V

Consider the following two problems: VERTEX COVER: Given an undirected graph

Consider the following two problems: VERTEX COVER: Given an undirected graph G = (V. E) and a positive integer k, is there a subset V V of size at most k such that the graph G V' has size 0? DOMINATING SET: Given an undirected graph G = (V,E) and a positive integer k, is there a subset D C V of size at most k such that every vertex in G\ D is adjacent to some vertex of D Show that DOMINATING SET is NP-complete by reducing from VERTEX COVER

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