Show that a graph G with n vertices can have at most n(n - 1)/2 edges, and G has exactly n(n - 1)/2 edges if G is complete, that is, if every pair of vertices of G is joined by an edge. (Recall that loops and multiple edges are excluded.)

Chapter 23, PROBLEM SET 23.1 #16

Show that a graph G with n vertices can have at most n(n - 1)/2 edges, and G has exactly n(n - 1)/2 edges if G is complete, that is, if every pair of vertices of G is joined by an edge. (Recall that loops and multiple edges are excluded.)

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Related Book For answer-question

Advanced Engineering Mathematics

10th edition

Authors: Erwin Kreyszig

ISBN: 978-0470458365