Title
Making Kr+1-free graphs r-partite
Abstract
The Erdos-Simonovits stability theorem states that for all epsilon > 0 there exists a > 0 such that if G is a Kr+1-free graph on n vertices with epsilon(G) > ex(n, Kr+1) - alpha n(2), then one can remove epsilon n(2) edges from G to obtain an r-partite graph. Furedi gave a short proof that one can choose alpha = epsilon. We give a bound for the relationship of a and e which is asymptotically sharp as epsilon -> 0.
Year
DOI
Venue
2021
10.1017/S0963548320000590
COMBINATORICS PROBABILITY & COMPUTING
DocType
Volume
Issue
Journal
30
4
ISSN
Citations 
PageRank 
0963-5483
0
0.34
References 
Authors
0
5
Name
Order
Citations
PageRank
József Balogh101.35
Felix Christian Clemen202.03
Mikhail Lavrov300.34
Bernard Lidický401.01
Florian Pfender500.34