Question: Exercise 5 (2 pts). The DENSE SUBGRAPH problem is defined as follows: . Input: (G.p. where G is a graph and p.qEZ Question: Does G

Exercise 5 (2 pts). The DENSE SUBGRAPH problem is defined as follows: . Input: (G.p. where G is a graph and p.qEZ Question: Does G have p vertices such that there are at least q edges between them? Prove that this problem is NP-hard by giving a polynomial-time reduction of CLIQUE Hint. If a set of k vertices is a dlique, how many edges are there between these k vertices? (known to be NP-hard) to DENSE SUBGRAPH

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