# Proving a problem is NP - complete by reduction from Vertex-cover.

Please see the attachment below for the complete question.

We need to prove that the problem is NP -complete by reduction from Vertex-cover.

Problem :- Given a collection of sets { S1, S2 ,..., Sn} and a positive integer K. Does there exist a set T with at most K elements such that T disjoint Si not-equalto empty , 1<=i<=n ?

[we can use the edges in graph to create the sets in the collection ]

© SolutionLibrary Inc. solutionlibary.com 9836dcf9d7 https://solutionlibrary.com/math/algebra/proving-a-problem-is-np-complete-by-reduction-from-vertex-cover-292