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ArticleOriginal scientific text

Title

Equitable coloring of Kneser graphs

Authors 1, 1, 1

Affiliations

  1. University of Gdańsk, Institute of Computer Science, 80-952 Gdańsk, Poland

Abstract

The Kneser graph K(n,k) is the graph whose vertices correspond to k-element subsets of set {1,2,...,n} and two vertices are adjacent if and only if they represent disjoint subsets. In this paper we study the problem of equitable coloring of Kneser graphs, namely, we establish the equitable chromatic number for graphs K(n,2) and K(n,3). In addition, for sufficiently large n, a tight upper bound on equitable chromatic number of graph K(n,k) is given. Finally, the cases of K(2k,k) and K(2k+1,k) are discussed.

Keywords

ENG
equitable coloring, Kneser graph

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Discussiones Mathematicae Graph Theory
2009/29/1
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Pages:
119-142
Main language of publication
English
Received
2007-12-07
Accepted
2008-05-09
Published
2009

DOI: 10.7151/dmgt.1436

Exact and natural sciences