Publication details
A superlinear bound on the number of perfect matchings in cubic bridgeless graphs
| Authors | |
|---|---|
| Year of publication | 2012 |
| Type | Article in Periodical |
| Magazine / Source | European Journal of Combinatorics |
| Citation | |
| Doi | http://dx.doi.org/10.1016/j.ejc.2011.09.027 |
| Description | Lovasz 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 in 1979, and for planar graphs by Chudnovsky and Seymour in 2008, but in general only linear bounds are known. In this paper, we provide the first superlinear bound in the general case. (C) 2011 Elsevier Ltd. All rights reserved. |