Title
Graphs Containing Every 2-Factor.
Abstract
For a graph G, let \({\sigma_2(G)=\min\{d(u)+d(v):uv\notin E(G)\}}\) . We prove that every n-vertex graph G with σ 2(G) ≥ 4n/3 − 1 contains each 2-regular n-vertex graph. This extends a theorem due to Aigner and Brandt and to Alon and Fisher.
Year
DOI
Venue
2012
10.1007/s00373-011-1066-6
Graphs and Combinatorics
Keywords
Field
DocType
Graph packing, Ore-type degree conditions, 2-factors, 05C35, 05C70
Discrete mathematics,Graph,Combinatorics,Strongly regular graph,Bound graph,Graph packing,Sigma,Distance-regular graph,Mathematics
Journal
Volume
Issue
ISSN
28
5
1435-5914
Citations 
PageRank 
References 
6
0.51
11
Authors
2
Name
Order
Citations
PageRank
Alexandr V. Kostochka168289.87
Gexin Yu234040.11