Question: Question 1: (1)Prove that the following language for the problem Independent Set is in NP. IS = { | G is an undirected graph, k

Question 1:

(1)Prove that the following language for the problem Independent Set is in NP.

IS = { | G is an undirected graph, k is an integer, and G has a subset of at least k vertices

for which no two of them are connected by an edge in G}

(2) Show that the Independent Set problem described above is NP-hard by (1) giving a

polynomial-time reduction from Vertex Cover, and (2) proving its correctness.

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