Question: Subject - Graph Theory (a) Let G = (V, E) be a graph such that |V| = n, and every vertex has degree (n1)/2. Prove

Subject - Graph Theory

(a) Let G = (V, E) be a graph such that |V| = n, and every vertex has degree (n1)/2. Prove that G is connected. (b) Let T = (V, E) be a tree such that |V| = n. If each vertex has either degree 3 or 1, then how many degree 3 vertices does the tree have? Justify your answer.

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