Question: Suppose that a graph with n 3 vertices has a clique of size n - 2, but does not have a clique of size

Suppose that a graph with n 3 vertices has a clique of

Suppose that a graph with n 3 vertices has a clique of size n - 2, but does not have a clique of size n - 1. Prove that this graph has two distinct independent sets of size 2.

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