Question: Prove that a graph G is a forest if and only if every edge of G is a bridge. Prove that, if a tree T

Prove that a graph G is a forest if and only if every edge of G is a bridge. Prove that, if a tree T has a vertex of degree k , then T has at least k end-vertices. Determine the number of vertices in the graph G with degree sequence 4,3,3,2,1,1.(a) How many edges are there in G? Explain how you obtain your answer. (b) Sketch the graph G with the above given degree sequence.

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