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

Beka Ergemlidze; Ervin Győri; Abhishek Methuku; Nika Salia

doi:10.1016/j.endm.2017.06.065

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

Beka Ergemlidze
, Ervin Győri
, Abhishek Methuku
, Nika Salia

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We prove that the maximum number of triangles in a C₅-free graph on n vertices is at most [Formula presented](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].

Original language	English
Pages (from-to)	395-398
Number of pages	4
Journal	Electronic Notes in Discrete Mathematics
Volume	61
DOIs	https://doi.org/10.1016/j.endm.2017.06.065
State	Published - Aug 2017
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2017 Elsevier B.V.

Keywords

Counting subgraphs
H-free graphs
Triangles
Turán type
five cycle

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics
Applied Mathematics

Access to Document

10.1016/j.endm.2017.06.065

Cite this

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abstract = "We prove that the maximum number of triangles in a C5-free graph on n vertices is at most [Formula presented](1+o(1))n3/2, 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].",

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AU - Methuku, Abhishek

AU - Salia, Nika

PY - 2017/8

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KW - H-free graphs

KW - Triangles

KW - Turán type

KW - five cycle

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