The double competition multigraph of a digraph

In this article, we introduce the notion of the double competition multigraph of a digraph. We give characterizations of the double competition multigraphs of arbitrary digraphs, loopless digraphs, reflexive digraphs, and acyclic digraphs in terms of edge clique partitions of the multigraphs.

Bibliographic Details
Main Authors: Yoshio Sano, Jeongmi Park
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2015-12-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/2133/pdf
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author Yoshio Sano
Jeongmi Park
author_facet Yoshio Sano
Jeongmi Park
author_sort Yoshio Sano
collection DOAJ
description In this article, we introduce the notion of the double competition multigraph of a digraph. We give characterizations of the double competition multigraphs of arbitrary digraphs, loopless digraphs, reflexive digraphs, and acyclic digraphs in terms of edge clique partitions of the multigraphs.
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spelling doaj.art-0b2d764b8051467aacc8f900bd8f56452024-03-07T15:28:21ZengDiscrete Mathematics & Theoretical Computer ScienceDiscrete Mathematics & Theoretical Computer Science1365-80502015-12-01Vol. 17 no.2Graph Theory10.46298/dmtcs.21332133The double competition multigraph of a digraphYoshio Sano0Jeongmi Park1Graduate School of Systems and Information Engineering [Tsukuba]Department of Mathematics, Pusan National UniversityIn this article, we introduce the notion of the double competition multigraph of a digraph. We give characterizations of the double competition multigraphs of arbitrary digraphs, loopless digraphs, reflexive digraphs, and acyclic digraphs in terms of edge clique partitions of the multigraphs.https://dmtcs.episciences.org/2133/pdfcompetition multigraphcompetition graphcompetition-common enemy graphdouble competition multigraphedge clique partition[info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
spellingShingle Yoshio Sano
Jeongmi Park
The double competition multigraph of a digraph
Discrete Mathematics & Theoretical Computer Science
competition multigraph
competition graph
competition-common enemy graph
double competition multigraph
edge clique partition
[info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
title The double competition multigraph of a digraph
title_full The double competition multigraph of a digraph
title_fullStr The double competition multigraph of a digraph
title_full_unstemmed The double competition multigraph of a digraph
title_short The double competition multigraph of a digraph
title_sort double competition multigraph of a digraph
topic competition multigraph
competition graph
competition-common enemy graph
double competition multigraph
edge clique partition
[info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
url https://dmtcs.episciences.org/2133/pdf
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