Some algebraic properties of hypergraphs

Details Some algebraic properties of hypergraphs Some algebraic properties of hypergraphs

2008-12-12

arxiv.org/abs/0812.2366v1

Mathematics

Commutative Algebra

Scientific paper

We consider Stanley--Reisner rings $k[x_1,...,x_n]/I(\mc{H})$ where $I(\mc{H})$ is the edge ideal associated to some particular classes of hypergraphs. For instance, we consider hypergraphs that are natural generalizations of graphs that are lines and cycles, and for these we compute the Betti numbers. We also generalize upon some known results about chordal graphs and study a weak form of shellability.

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