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A note on the maximum number of triangles in a C5-free graph.

Authors :
Ergemlidze, Beka
Győri, Ervin
Methuku, Abhishek
Salia, Nika
Source :
Electronic Notes in Discrete Mathematics; Aug2017, Vol. 61, p395-398, 4p
Publication Year :
2017

Abstract

We prove that the maximum number of triangles in a C 5 -free graph on n vertices is at most 1 2 2 ( 1 + o ( 1 ) ) n 3 / 2 , improving an estimate of Alon and Shikhelman [Alon, N. and C. Shikhelman, Many T copies in H-free graphs . Journal of Combinatorial Theory, Series B 121 (2016) 146-172]. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
15710653
Volume :
61
Database :
Supplemental Index
Journal :
Electronic Notes in Discrete Mathematics
Publication Type :
Academic Journal
Accession number :
124473112
Full Text :
https://doi.org/10.1016/j.endm.2017.06.065