Article ID Journal Published Year Pages File Type
4648365 Discrete Mathematics 2009 13 Pages PDF
Abstract

Refining a bound by Lih, Wang and Zhu, we prove that if the square G2G2 of a K4K4-minor-free graph GG with maximum degree Δ⩾6Δ⩾6 does not contain a complete subgraph on ⌊32Δ⌋+1 vertices, then G2G2 is ⌊32Δ⌋-colorable.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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