2012-08-31, English, Article, Journal or magazine article edition: Some characterizations of [gamma] and [beta]-acyclicity of hypergraphs. Duris, David

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Physical Description
  • Magazine/​Journal article
Published
  • Elsevier B.V., 2012 August 31
Language
  • English

Edition details

Title
  • Some characterizations of [gamma] and [beta]-acyclicity of hypergraphs.
Appears In
  • Information Processing Letters, v.112, no.16, 2012 August 31, p.617(4) (ISSN: 0020-0190)
Author
  • Duris, David
Published
  • Elsevier B.V., 2012 August 31
Physical Description
  • Magazine/​Journal article
Subjects
Target Audience
  • Trade
Summary
  • To link to full-text access for this article, visit this link: http:/​/​dx.doi.org/​10.1016/​j.ipl.2012.05.005 Byline: David Duris Keywords: Hypergraph acyclicity; Combinatorial problems; Graph algorithms Abstract: The notions of [gamma] and [beta]-acyclicity are two classic generalizations of the acyclicity of graphs to hypergraphs. They satisfy the property that, if a hypergraph is [gamma]-acyclic then it is [beta]-acyclic, and the reverse is false. We give some new properties concerning these notions. First we show that we can strictly insert another notion of acyclicity between them, namely the fact of having a join tree with disjoint branches. And if we add a condition on the existence of such a join tree, we obtain a notion equivalent to [gamma]-acyclicity. Then we present two characterizations, consisting in applying successively a small set of rules, deciding [gamma] and [beta]-acyclicity respectively. Author Affiliation: Equipe de Logique Mathematique, Universite Paris Diderot, France Article History: Received 9 September 2010; Revised 12 February 2012; Accepted 16 May 2012 Article Note: (miscellaneous) Communicated by A. Muscholl
Terms of Use
  • COPYRIGHT 2012 Elsevier B.V.
Language
  • English
Database
  • Gale Academic OneFile
Identifier
  • 294282397

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