Article ID Journal Published Year Pages File Type
4653140 Electronic Notes in Discrete Mathematics 2006 8 Pages PDF
Abstract

In 1976 Borodin conjectured that every planar graph has a 5-coloring such that the union of every k color classes with 1⩽k⩽4 induces a k-degenerate graph. We prove the existence of such a coloring using 18 colors.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics