Let G = (V, E) be a graph (no loops, no multi-edges, undirected, as always. Let d be the smallest degrees of a vertex in G. Let D be the largest degree of a vertex in G. Let e = |E| and let n = |V|. Prove that

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
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Let G = (V, E) be a graph (no loops, no multi-edges, undirected, as always. Let d be the smallest degrees of a vertex in
G. Let D be the largest degree of a vertex in G. Let e = |E| and let n = |V]. Prove that
%3D
D
2
Transcribed Image Text:Let G = (V, E) be a graph (no loops, no multi-edges, undirected, as always. Let d be the smallest degrees of a vertex in G. Let D be the largest degree of a vertex in G. Let e = |E| and let n = |V]. Prove that %3D D 2
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