Prove that in any simple graph G with n vertices and m edges, 2m ≤ n^2 − n.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 56E
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Prove that in any simple graph G with n vertices and m edges, 2m ≤ n^2 − n.

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