Article ID Journal Published Year Pages File Type
4657113 Journal of Combinatorial Theory, Series B 2010 21 Pages PDF
Abstract

We prove that every graph with maximum degree Δ can be properly (Δ+1)-coloured so that no colour appears more than times in the neighbourhood of any vertex. This is best possible up to the constant multiple in the O(−) term.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics