Packing triangles in regular tournaments

Raphael Yuster

doi:10.1002/jgt.21691

Packing triangles in regular tournaments

Raphael Yuster

Department of Mathematics

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

Abstract

We prove that a regular tournament with n vertices has more than n ²/11.5(1-o(1)) pairwise arc-disjoint directed triangles. On the other hand, we construct regular tournaments with a feedback arc set of size less than n²/8, so these tournaments do not have n²/8 pairwise arc-disjoint triangles.

Original language	English
Pages (from-to)	58-66
Number of pages	9
Journal	Journal of Graph Theory
Volume	74
Issue number	1
DOIs	https://doi.org/10.1002/jgt.21691
State	Published - Sep 2013

Keywords

fractional
packing
tournament

ASJC Scopus subject areas

Geometry and Topology

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10.1002/jgt.21691

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title = "Packing triangles in regular tournaments",

abstract = "We prove that a regular tournament with n vertices has more than n 2/11.5(1-o(1)) pairwise arc-disjoint directed triangles. On the other hand, we construct regular tournaments with a feedback arc set of size less than n2/8, so these tournaments do not have n2/8 pairwise arc-disjoint triangles.",

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AB - We prove that a regular tournament with n vertices has more than n 2/11.5(1-o(1)) pairwise arc-disjoint directed triangles. On the other hand, we construct regular tournaments with a feedback arc set of size less than n2/8, so these tournaments do not have n2/8 pairwise arc-disjoint triangles.

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Packing triangles in regular tournaments

Abstract

Keywords

ASJC Scopus subject areas

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