Article ID Journal Published Year Pages File Type
428162 Information Processing Letters 2008 5 Pages PDF
Abstract

Let G be a planar graph with maximum degree Δ(G). We use and to denote the list edge chromatic number and list total chromatic number of G, respectively. In this paper, it is proved that and if Δ(G)⩾6 and G has neither C4 nor C6, or Δ(G)⩾7 and G has neither C5 nor C6, where Ck is a cycle of length k.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics