Title
A New Lower Bound on the Number of Perfect Matchings in Cubic Graphs
Abstract
We prove that every $n$-vertex cubic bridgeless graph has at least $n/2$ perfect matchings and give a list of all 17 such graphs that have less than $n/2+2$ perfect matchings.
Year
DOI
Venue
2009
10.1137/080723843
SIAM J. Discrete Math.
Keywords
Field
DocType
vertex cubic bridgeless graph,perfect matchings,new lower bound,cubic graphs,perfect matching,cubic graph,lower bound
Discrete mathematics,Combinatorics,Upper and lower bounds,Vertex (graph theory),Cubic graph,Tutte theorem,Matching (graph theory),Decomposition method (constraint satisfaction),Trivially perfect graph,Mathematics,Strong perfect graph theorem
Journal
Volume
Issue
ISSN
23
3
0895-4801
Citations 
PageRank 
References 
8
1.68
8
Authors
3
Name
Order
Citations
PageRank
Daniel Král'142646.78
Jean-Sébastien Sereni226928.69
Michael Stiebitz320730.08