. (a) Let G be a tree with N vertices. Find the sum of the degrees of all the vertices
Chapter 7, Problem 45(choose chapter or problem)
. (a) Let G be a tree with N vertices. Find the sum of the degrees of all the vertices in G. (b) Explain why a tree must have at least two vertices of degree 1. (A vertex of degree 1 in a tree is called a leaf.) (c) Explain why in a tree with three or more vertices the degrees of the vertices cannot all be the same.
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