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Mathematics > Commutative Algebra

arXiv:0711.3368 (math)
[Submitted on 21 Nov 2007 (v1), last revised 6 Feb 2008 (this version, v3)]

Title:Betti numbers of hypergraphs

Authors:Eric Emtander
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Abstract: In 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.
Comments: To appear in Communications in Algebra
Subjects: Commutative Algebra (math.AC); Combinatorics (math.CO)
MSC classes: 13D02, 13D07, 05C65
Cite as: arXiv:0711.3368 [math.AC]
  (or arXiv:0711.3368v3 [math.AC] for this version)
  https://doi.org/10.48550/arXiv.0711.3368

Submission history

From: Eric Emtander [view email]
[v1] Wed, 21 Nov 2007 13:01:29 UTC (21 KB)
[v2] Mon, 4 Feb 2008 11:33:27 UTC (21 KB)
[v3] Wed, 6 Feb 2008 09:07:42 UTC (21 KB)
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