Chromatic number of Harary graphs

Adel P. Kazemi; Parvin Jalilolghadr

doi:10.1515/tmj-2016-0013

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Home > Journals > Tbilisi Math. J. > Volume 9 > Issue 1 > Article

June 2016 Chromatic number of Harary graphs

Adel P. Kazemi, Parvin Jalilolghadr

Author Affiliations +

Adel P. Kazemi,¹ Parvin Jalilolghadr¹
¹College of Mathematical Sciences, University of Mohaghegh Ardabili

Tbilisi Math. J. 9(1): 271-278 (June 2016). DOI: 10.1515/tmj-2016-0013

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Abstract

A proper coloring of a graph $G$ is a function from the vertices of the graph to a set of colors such that any two adjacent vertices have different colors, and the chromatic number of $G$ is the minimum number of colors needed in a proper coloring of a graph. In this paper, we will find the chromatic number of the Harary graphs, which are the circulant graphs in some cases.

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Adel P. Kazemi. Parvin Jalilolghadr. "Chromatic number of Harary graphs." Tbilisi Math. J. 9 (1) 271 - 278, June 2016. https://doi.org/10.1515/tmj-2016-0013