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Betti numbers of hypergraphs
Stockholm University, Faculty of Science, Department of Mathematics.
2009 (English)In: Communications in Algebra, ISSN 0092-7872, E-ISSN 1532-4125, Vol. 37, no 5, 1545-1571 p.Article in journal (Refereed) Published
Abstract [en]

In this article, we study some algebraic properties of hypergraphs, in particular their Betti numbers. We define some different types of complete hypergraphs, which to the best of our knowledge are not previously considered in the literature. Also, in a natural way, we define a product on hypergraphs, which in a sense is dual to the join operation on simplicial complexes. For such product, we give a general formula for the Betti numbers, which specializes neatly in case of linear resolutions.

Place, publisher, year, edition, pages
2009. Vol. 37, no 5, 1545-1571 p.
Keyword [en]
Betti numbers, Complete hypergraphs, Hypergraphs
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-39118DOI: 10.1080/00927870802098158ISI: 000265856100005OAI: oai:DiVA.org:su-39118DiVA: diva2:318545
Available from: 2010-05-07 Created: 2010-05-07 Last updated: 2017-12-12Bibliographically approved
In thesis
1. On hypergraph algebras
Open this publication in new window or tab >>On hypergraph algebras
2008 (English)Licentiate thesis, comprehensive summary (Other academic)
Place, publisher, year, edition, pages
Stockholm: Department of Mathematics, Stockholm University, 2008. 40 p.
National Category
Mathematics
Research subject
Mathematics
Identifiers
urn:nbn:se:su:diva-39120 (URN)
Presentation
2008-04-21, hus 6, sal 306, Kräftriket, Stockholm, 14:00 (English)
Opponent
Supervisors
Available from: 2012-12-13 Created: 2010-05-07 Last updated: 2012-12-13Bibliographically approved

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