Article ID Journal Published Year Pages File Type
4657272 Journal of Combinatorial Theory, Series B 2008 12 Pages PDF
Abstract

We prove that, for every list-assignment of two colors to every vertex of any planar graph, there is a list-coloring such that there is no monochromatic triangle. This proves and extends a conjecture of B. Mohar and R. Škrekovski and a related conjecture of A. Kündgen and R. Ramamurthi.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics