Betti numbers of hypergraphs
Commutative Algebra
2008-02-06 v3 Combinatorics
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.
Cite
@article{arxiv.0711.3368,
title = {Betti numbers of hypergraphs},
author = {Eric Emtander},
journal= {arXiv preprint arXiv:0711.3368},
year = {2008}
}
Comments
To appear in Communications in Algebra