• Show that the degree of PG is the number of vertices in the graph. • Show that if the coefficient of tk in PG(t) is zero, then the coefficient of th-1 is zero • Show that the tn-1 coeff is the minus the number of edges

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 58E
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Graph theory: Chromatic polynomial
• Show that the degree of PG is the number of vertices in the graph.
• Show that if the coefficient of tk in PG(t) is zero, then the coefficient
of th-1 is zero
• Show that the tn-1 coeff is the minus the number of edges
Transcribed Image Text:• Show that the degree of PG is the number of vertices in the graph. • Show that if the coefficient of tk in PG(t) is zero, then the coefficient of th-1 is zero • Show that the tn-1 coeff is the minus the number of edges
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