Strong chromatic index of 2-degenerate graphs
Journal
Journal of Graph Theory
Journal Volume
73
Journal Issue
2
Pages
119-126
Date Issued
2013
Author(s)
Abstract
We prove that the strong chromatic index of a 2-degenerate graph is linear in the maximum degree Δ. This includes the class of all chordless graphs (graphs in which every cycle is induced) which in turn includes graphs where the cycle lengths are multiples of four, and settles a problem by Faudree et al. (Ars Combin 29(B) (1990), 205-211). © 2012 Wiley Periodicals, Inc.
Type
journal article