Article ID Journal Published Year Pages File Type
4651908 Electronic Notes in Discrete Mathematics 2015 8 Pages PDF
Abstract

We prove for graphs of sufficiently large maximum degree where is the strong chromatic index of G. This improves an old bound of Molloy and Reed. As a by-product, we present a Talagrand-type inequality where it is allowed to exclude unlikely bad outcomes that would otherwise render the inequality unusable.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics