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Discrete Mathematics
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arXiv.org e-Print Archive
Preprint . 2010
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Discrete Mathematics
Article . 2012
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http://dx.doi.org/10.1016/j.di...
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Discrete Mathematics
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https://dx.doi.org/10.48550/ar...
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Discrete Mathematics
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Split digraphs

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Apr 2012Embargo end date: 01 Jan 2010 English Publisher:Elsevier BVJournal:Discrete Mathematics, volume 312, pages 1,314-1,325 (issn: 0012-365X, Copyright policy )
Authors: M. Drew LaMar;

doi: 10.1016/j.disc.2011.12.023 , 10.48550/arxiv.1005.2452

arXiv: http://arxiv.org/abs/1005.2452

Abstract

We generalize the class of split graphs to the directed case and show that these split digraphs can be identified from their degree sequences. The first degree sequence characterization is an extension of the concept of splittance to directed graphs, while the second characterization says a digraph is split if and only if its degree sequence satisfies one of the Fulkerson inequalities (which determine when an integer-pair sequence is digraphic) with equality.

14 pages, 2 figures; Accepted author manuscript (AAM) version

Related Organizations
Keywords

FOS: Computer and information sciences, Discrete Mathematics (cs.DM), Directed graph, Theoretical Computer Science, Degree sequence, FOS: Mathematics, 05C20, 05C69, 05C75, Discrete Mathematics and Combinatorics, Mathematics - Combinatorics, Split graph, Combinatorics (math.CO), Computer Science - Discrete Mathematics

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    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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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!
7
Average
Average
Average
Green
hybrid