Title
On the minimum degree forcing F-free graphs to be (nearly) bipartite
Abstract
Let β(G) denote the minimum number of edges to be removed from a graph G to make it bipartite. For each 3-chromatic graph F we determine a parameter ξ(F) such that for each F-free graph G on n vertices with minimum degree δ(G)⩾2n/(ξ(F)+2)+o(n) we have β(G)=o(n2), while there are F-free graphs H with δ(H)≥⌊2n/(ξ(F)+2)⌋ for which β(H)=Ω(n2).
Year
DOI
Venue
2008
10.1016/j.disc.2007.06.047
Discrete Mathematics
Keywords
Field
DocType
primary,secondary
Graph theory,Discrete mathematics,Graph,Combinatorics,Vertex (geometry),Bipartite graph,Extremal graph theory,Mathematics
Journal
Volume
Issue
ISSN
308
17
0012-365X
Citations 
PageRank 
References 
0
0.34
3
Authors
2
Name
Order
Citations
PageRank
Tomasz Luczak1596130.60
Miklós Simonovits257898.20