Article ID Journal Published Year Pages File Type
4652850 Electronic Notes in Discrete Mathematics 2007 7 Pages PDF
Abstract

A conjecture of G. Fan and A. Raspaud asserts that every bridgeless cubic graph contains three perfect matchings with empty intersection. We suggest a possible approach to problems of this type, based on the concept of a balanced join in an embedded graph. The method can be used to prove a special case of a conjecture of E. Máčajová and M. Škoviera on Fano colorings of cubic graphs.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics