Article ID Journal Published Year Pages File Type
4652319 Electronic Notes in Discrete Mathematics 2009 7 Pages PDF
Abstract

Thomassen conjectured that every triangle-free planar graph has exponentially many 3-colorings. He proved that it has at least 2n1/12/20000 distinct 3-colorings where n is the number of vertices. We show that it has at least 3-colorings.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics