Question: Let G be a graph with vertex set V = {2; 3; 4; 5; 6; 7; 8; 9} and let {i; j} be an edge

Let G be a graph with vertex set V = {2; 3; 4; 5; 6; 7; 8; 9} and let {i; j} be an edge if and only if i /= j and there is a prime number that divides both i and j. [a] Does G have any isolated vertices? [b] Find a cycle of longest length. [c] Find a path of longest length. [d] Is G connected?

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