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Counting flags in triangle-free digraphs

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Hladký, Jan, Král', Daniel and Norin, Sergey (2009) Counting flags in triangle-free digraphs. Electronic Notes in Discrete Mathematics, Vol.34 . pp. 621-625. doi:10.1016/j.endm.2009.07.105 ISSN 1571-0653.

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Official URL: http://dx.doi.org/10.1016/j.endm.2009.07.105

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Abstract

We prove that every digraph on n vertices with minimum out-degree 0.3465n contains an oriented triangle. This improves the bound of 0.3532n of Hamburger, Haxell and Kostochka. The main tool for our proof is the theory of flag algebras developed recently by Razborov.

Item Type: Journal Article
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title: Electronic Notes in Discrete Mathematics
Publisher: Elsevier BV
ISSN: 1571-0653
Official Date: 2009
Dates:
DateEvent
2009Published
Volume: Vol.34
Page Range: pp. 621-625
DOI: 10.1016/j.endm.2009.07.105
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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