Article ID Journal Published Year Pages File Type
4652374 Electronic Notes in Discrete Mathematics 2009 5 Pages PDF
Abstract

Lovász and Plummer conjectured in the 1970's that cubic bridgeless graphs have exponentially many perfect matchings. This conjecture has been verified for bipartite graphs by Voorhoeve (1979), and for planar graphs by Chudnovsky and Seymour (2008). In this paper, we provide the first superlinear bound in the general case.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics