Question: Consider the clique problem -- Clique: Given graph G and number k, is there a clique of size k? Restrict the Clique problem to graphs

Consider the clique problem -- Clique: Given graph G and number k, is there a clique of size k?

Restrict the Clique problem to graphs in which every vertex has degree at most 3. Prove that this 3-clique problem is in NP, and describe a polynomial-time algorithm for 3-clique.

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