Arbitrary orientations of Hamilton cycles in digraphs

Louis DeBiasio; Daniela Kühn; Theodore Molla; Deryk Osthus; Amelia Taylor

doi:10.1137/140974675

Arbitrary orientations of Hamilton cycles in digraphs

Louis DeBiasio, Daniela Kühn, Theodore Molla, Deryk Osthus, Amelia Taylor

Mathematics

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

4 Citations (Scopus)

128 Downloads (Pure)

Abstract

Let n be sufficiently large and suppose that G is a digraph on n vertices where every vertex has in- and outdegree at least n/2. We show that G contains every orientation of a Hamilton cycle except, possibly, the antidirected one. The antidirected case was settled by DeBiasio and Molla, where the threshold is n/2 + 1. Our result is best possible and improves on an approximate result by HÂaggkvist and Thomason.

Original language	English
Pages (from-to)	1553-1584
Number of pages	32
Journal	SIAM Journal on Discrete Mathematics
Volume	29
Issue number	3
DOIs	https://doi.org/10.1137/140974675
Publication status	Published - 2015

Keywords

Digraphs
Extremal problems
Hamilton cycles
Robust expanders

ASJC Scopus subject areas

General Mathematics

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10.1137/140974675

Kuhn_Arbitrary_orientations_SIAM_J_Discrete_Math_2015
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Final published version, 580 KBLicence: Creative Commons: Attribution (CC BY)

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Arbitrary orientations of Hamilton cycles in digraphs

Abstract

Keywords

ASJC Scopus subject areas

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