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Preprint . 2011
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https://dx.doi.org/10.48550/ar...
Article . 2011
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A sufficient condition for the hamiltonian property of digraphs with large semi-degrees

A sufficient condition for the Hamiltonian property of digraphs with large semidegrees
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2011Embargo end date: 01 Jan 2011Publisher:arXiv
Authors: Darbinyan, S. Kh.;

doi: 10.48550/arxiv.1111.1843

arXiv: http://arxiv.org/abs/1111.1843

A sufficient condition for the hamiltonian property of digraphs with large semi-degrees

Abstract

Let $D$ be a digraph on $p\geq 5$ vertices with minimum degree at least $p-1$ and with minimum semi-degree at least $p/2-1$. For $D$ (unless some extremal cases) we present a detailed proof of the following results [12]: (i) $D$ contains cycles of length 3, 4 and $p-1$; (ii) if $p=2n$, then $D$ is hamiltonian.

18 pages

Keywords

Eulerian and Hamiltonian graphs, FOS: Mathematics, Directed graphs (digraphs), tournaments, Mathematics - Combinatorics, Combinatorics (math.CO), digraph, Hamiltonian

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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