Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN: 9781133382119
Author: Swokowski
Publisher: Cengage
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Question

The following questions are mostly on the topic of graph complements.
(a) Let G be a graph with ∆(G) ≥ r, where r is a positive integer. Show that either G
contains a triangle or ̄G contains a Kr.
(b) Let G be a graph of order n which contains no triangles.
(i) Assume that n = 9. Show that ̄G contains a K4.
(ii) Assume that n = 8. Must ̄G contain a K4 ? Justify your answer.

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