The equitable chromatic threshold of the Cartesian product of bipartite graphs is at most 4

Zhidan Yan; Wu-Hsiung Lin; Wei Wang

doi:10.11650/tjm.18.2014.3645

The equitable chromatic threshold of the Cartesian product of bipartite graphs is at most 4

Zhidan Yan, Wu-Hsiung Lin^*, Wei Wang

^*Corresponding author for this work

Department of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

A graph G is equitably k-colorable if its vertex set can be partitioned into k independent sets, any two of which differ in size by at most 1. We prove a conjecture of Lin and Chang which asserts that for any bipartite graphs G and H, their Cartesian product GH is equitably k-colorable whenever k ≥ 4.

Original language	English
Pages (from-to)	773-780
Number of pages	8
Journal	Taiwanese Journal of Mathematics
Volume	18
Issue number	3
DOIs	https://doi.org/10.11650/tjm.18.2014.3645
State	Published - 1 Jan 2014

Keywords

Bipartite graph
Cartesian product
Equitable chromatic threshold
Equitable coloring

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KW - Equitable coloring

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