Show that the edge chromatic number of a graph must be at least as large as the maximum degree of a vertex of the graph. (a) Can a simple graph exist with 10 vertices each of degree four?, Give a diagram of this graph and the number of edges produced.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
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Show that the edge chromatic number of a graph must be at least as large as the maximum degree of a vertex of the graph. (a) Can a simple graph exist with 10 vertices each of degree four?, Give a diagram of this graph and the number of edges produced.

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