Title
Neighborhood conditions and edge-disjoint perfect matchings
Abstract
A graph G satisfies the neighborhood condition ANC( G ) ⩾ m if, for all pairs of vertices of G , the union of their neighborhoods has at least m vertices. For a fixed positive integer k , let G be a graph of even order n which satisfies the following conditions: δ( G ) ⩾ k + 1; K 1 ( G ) ⩾ k ; and ANC( G ) ⩾ n /2. It is shown that if n is sufficiently large then G contains k edge-disjoint perfect matchings.
Year
DOI
Venue
1991
10.1016/0012-365X(91)90160-4
Discrete Mathematics
Keywords
Field
DocType
edge-disjoint perfect matchings,neighborhood condition
Integer,Graph,Discrete mathematics,Combinatorics,Disjoint sets,Vertex (geometry),Vertex (graph theory),Bipartite graph,Mathematics
Journal
Volume
Issue
ISSN
91
1
Discrete Mathematics
Citations 
PageRank 
References 
1
0.38
3
Authors
3
Name
Order
Citations
PageRank
R. J. Faudree117438.15
R. J. Gould2234.92
L. M. Lesniak3448.23