Betti numbers of hypergraphs

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dc.creatorEmtander, Eric
dc.date2007-11-21
dc.date2008-02-06
dc.date.accessioned2026-07-07T09:18:43Z
dc.date.available2026-07-07T09:18:43Z
dc.descriptionIn this paper we study some algebraic properties of hypergraphs, in particula 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.
dc.descriptionTo appear in Communications in Algebra
dc.identifierhttps://arxiv.org/abs/0711.3368
dc.identifierhttp://arxiv.org/abs/0711.3368
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154128
dc.subjectCommutative Algebra
dc.subjectCombinatorics
dc.subject13D02, 13D07, 05C65
dc.titleBetti numbers of hypergraphs
dc.typetext

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