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Unformatted text preview: Problem 2 . [SelfReductions] In each case below, assume that you are given a black box which can answer the decision version of the indicated problem. Use a polynomial number of calls to the black box to construct the desired set. Independent set: Given a graph G and an integer k , does G have a subset of k vertices that are pairwise nonadjacent? Subset sum: Given a multiset (elements can appear more than once) X = x 1 ,...,x k of positive integers, and a positive integer S , does there exist a subset of X with sum exactly S ? kColor: Given a graph G , is there a proper kcoloring? In other words, can we assign one of the k colors to each node such that no node is adjacent to a node of the same color? 1...
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 Fall '08
 Chekuri,C
 Algorithms

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