Yoshio Sano ; Jeongmi Park - The double competition multigraph of a digraph

dmtcs:2133 - Discrete Mathematics & Theoretical Computer Science, December 31, 2015, Vol. 17 no.2 - https://doi.org/10.46298/dmtcs.2133
The double competition multigraph of a digraphArticle

Authors: Yoshio Sano 1; Jeongmi Park 2

  • 1 Graduate School of Systems and Information Engineering [Tsukuba]
  • 2 Department of Mathematics, Pusan National University

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.

https://doi.org/10.46298/dmtcs.2133
Source: HAL:hal-01349048v1
Volume: Vol. 17 no.2
Section: Graph Theory
Published on: December 31, 2015
Submitted on: July 21, 2013
Keywords: competition multigraph,competition graph,competition-common enemy graph,double competition multigraph,edge clique partition,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]

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