Question: a . The Independent Set problem gives an undirected graph and an integer k , and asks whether or not there are at least k

a. The Independent Set problem gives an undirected graph and an integer k, and asks whether or not there are at least k vertices in a graph that are mutually not connected.
Prove that Vertex Cover reduces to the Independent Set problem. Hint: Think about the vertices NOT in the vertex cover.
b. A clique is a set of nodes all of which connect to each other. A clique is also called a complete graph. The Clique problem gives an undirected graph and an integer k, and asks whether or not the graph contains a clique with at least k vertices.
Prove that Independent Set problem reduces to Clique.
a . The Independent Set problem gives an

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