Open Access
2012 INCIDENCE COLORING OF REGULAR GRAPHS AND COMPLEMENT GRAPHS
Pak-Kiu Sun
Taiwanese J. Math. 16(6): 2289-2295 (2012). DOI: 10.11650/twjm/1500406852

Abstract

Using a relation between domination number and incidence chromatic number, we obtain necessary and sufficient conditions for $r$-regular graphs to be $(r+1)$-incidence colorable. Also, we determine the optimal Nordhaus-Gaddum inequality for the incidence chromatic number.

Citation

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Pak-Kiu Sun. "INCIDENCE COLORING OF REGULAR GRAPHS AND COMPLEMENT GRAPHS." Taiwanese J. Math. 16 (6) 2289 - 2295, 2012. https://doi.org/10.11650/twjm/1500406852

Information

Published: 2012
First available in Project Euclid: 18 July 2017

zbMATH: 1259.05067
MathSciNet: MR3001848
Digital Object Identifier: 10.11650/twjm/1500406852

Subjects:
Primary: 05C15 , 05C69

Keywords: complement graph , domination number , incidence chromatic number , Regular graph

Rights: Copyright © 2012 The Mathematical Society of the Republic of China

Vol.16 • No. 6 • 2012
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