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arXiv · 1102.0962

On the maximum number of five-cycles in a triangle-free graph

Andrzej Grzesik
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Abstract

Using Razborov's flag algebras we show that a triangle-free graph on n vertices contains at most (n/5)^5 cycles of length five. It settles in the affirmative a conjecture of Erdos.

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Andrzej Grzesik. 2012-04-03. On the maximum number of five-cycles in a triangle-free graph. https://arxiv.org/abs/1102.0962

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