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Engineering, 05.05.2020 06:54 gabbihardy7980
Consider a set A = {a1, . . . , an} and a collection B1, B2, . . . , Bm of subsets of A (i. e., Bi β A for each i). We say that a set H β A is a hitting set for the collection B1, B2, . . . , Bm if H contains at least one element from each Bi β that is, if H β© Bi is not empty for each i (so H "hits" all the sets of Bi). We define the Hitting Set Problem as follows. We are given a set A = {a1, . . . , an}, a collection B1, B2, . . . , Bm of subsets of A, and an non-negative integer k. We are asked: is there a hitting set H β A for B1, B2, . . . , Bm so that the size of H is at most k? Prove that the Hitting Set problem is NP-complete
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Consider a set A = {a1, . . . , an} and a collection B1, B2, . . . , Bm of subsets of A (i. e., Bi β...
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