Title

The strong chromatic index of (3,Δ)-bipartite graphs

Document Type

Article

Publication Date

5-1-2017

Abstract

A strong edge-coloring of a graph G=(V,E) is a partition of its edge set E into induced matchings. We study bipartite graphs with one part having maximum degree at most 3 and the other part having maximum degree Δ. We show that every such graph has a strong edge-coloring using at most 3Δ colors. Our result confirms a conjecture of Brualdi and Quinn Massey (1993) for this class of bipartite graphs.

DOI

10.1016/j.disc.2016.10.016

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