We have to prove that the problem is NP –complete by reduction from
Vertex-cover.
n?
[we can use the edges on a graph to create the sets in the collection ]
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 ]