The following statements are about the chromatic number x(G) and the chromatic index x'(G) of graphs. We use A(G) for the maximum degree of G. Are the following statements true or false? ? ? 1. x'(G) ≥ A(G). 2. For all n ≥ 3, x'(Pn) = A(Pn). 3. For any cycle, the chromatic index is equal to the chromatic number. 4. The chromatic index of any planar graph is at most 4.
The following statements are about the chromatic number x(G) and the chromatic index x'(G) of graphs. We use A(G) for the maximum degree of G. Are the following statements true or false? ? ? 1. x'(G) ≥ A(G). 2. For all n ≥ 3, x'(Pn) = A(Pn). 3. For any cycle, the chromatic index is equal to the chromatic number. 4. The chromatic index of any planar graph is at most 4.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 49PFA
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