Title of article
Cubic bridgeless graphs have more than a linear number of perfect matchings
Author/Authors
Esperet، نويسنده , , Louis and Kardo?، نويسنده , , Franti?ek and Kr?lʹ، نويسنده , , Daniel، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
5
From page
411
To page
415
Abstract
Lovلsz and Plummer conjectured in the 1970ʹs 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.
Keywords
Perfect matchings , cubic graphs
Journal title
Electronic Notes in Discrete Mathematics
Serial Year
2009
Journal title
Electronic Notes in Discrete Mathematics
Record number
1455166
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