Article ID Journal Published Year Pages File Type
4652236 Electronic Notes in Discrete Mathematics 2013 4 Pages PDF
Abstract

We propose three new conjectures on perfect matchings in cubic graphs. The weakest conjecture is implied by a well-known conjecture of Berge and Fulkerson. The other two conjectures are a strengthening of the first one. All conjectures are trivially verified for 3-edge-colorable cubic graphs and by computer for all snarks of order at most 34.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics