Article ID Journal Published Year Pages File Type
4652344 Electronic Notes in Discrete Mathematics 2009 5 Pages PDF
Abstract

We show that every bridgeless cubic graph having a 2-factor with at most two odd circuits admits three perfect matchings with no common edge. This partially verifies a conjecture of Fan and Raspaud (1994) and supports Fulkerson's conjecture (1971).

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics