Pseudo-Outerplanar Graphs and Chromatic Conjectures

Jingjing Tian1, Xin Zhang2
1Department of Applied Mathematics Northwestern Polytechnical University, Xi’an 710072, P.R. China
2Department of Mathematics Xidian University, Xi’an 710071, PR. China

Abstract

In this paper, we verify the list edge coloring conjecture for pseudo- outerplanar graphs with maximum degree at least \(5\) and the equitable \(\Delta\)-coloring conjecture for all pseudo-outerplanar graphs.