Title
Supersaturation problem for the bowtie
Abstract
The Turán function ex(n,F) denotes the maximal number of edges in an F-free graph on n vertices. We consider the function hF(n,q), the minimal number of copies of F in a graph on n vertices with ex(n,F)+q edges. The value of hF(n,q) has been extensively studied when F is bipartite or colour-critical. In this paper we investigate the simplest remaining graph F, namely, two triangles sharing a vertex, and establish the asymptotic value of hF(n,q) for q=o(n2).
Year
DOI
Venue
2020
10.1016/j.ejc.2020.103107
European Journal of Combinatorics
DocType
Volume
ISSN
Journal
88
0195-6698
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Mihyun Kang116329.18
Tamás Makai232.17
Oleg Pikhurko331847.03