A note on some embedding problems for oriented graphs

Andrew Treglown

doi:10.1002/jgt.20586

A note on some embedding problems for oriented graphs

Andrew Treglown

Mathematics

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Abstract

We conjecture that every oriented graph G on n vertices with δ+(G), δ−(G)≥5n/12 contains the square of a Hamilton cycle. We also give a conjectural bound on the minimum semidegree which ensures a perfect packing of transitive triangles in an oriented graph. A link between Ramsey numbers and perfect packings of transitive tournaments is also considered

Original language	English
Pages (from-to)	330-336
Journal	Journal of Graph Theory
Volume	69
Early online date	1 Feb 2011
DOIs	https://doi.org/10.1002/jgt.20586
Publication status	Published - 16 Feb 2012

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10.1002/jgt.20586Licence: None: All rights reserved

Treglown_A_note_on_some_embedding_Journal_of_Graph_Theory_2011
This is the peer reviewed version of the following article: Treglown, A. (2012), A note on some embedding problems for oriented graphs. J. Graph Theory, 69: 330–336. doi:10.1002/jgt.20586 , which has been published in final form athttp://onlinelibrary.wiley.com/doi/10.1002/jgt.20586/full. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.
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http://onlinelibrary.wiley.com/doi/10.1002/jgt.20586/fullLicence: None: All rights reserved

Directed graphs and the regularity method
Kuhn, D. & Osthus, D.
Engineering & Physical Science Research Council
1/10/07 → 31/03/11
Project: Research Councils

Cite this

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A note on some embedding problems for oriented graphs

Abstract

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Projects

Directed graphs and the regularity method

Cite this