Standard graded vertex cover algebras, cycles and leaves

Details Standard graded vertex cover algebras, cycles and leaves Standard graded vertex cover algebras, cycles and leaves

2006-06-15

arxiv.org/abs/math/0606357v1

Mathematics

Commutative Algebra

20 pages, 6 figures

Scientific paper

The aim of this paper is to characterize simplicial complexes which have standard graded vertex cover algebras. This property has several nice consequences for the squarefree monomial ideals defining these algebras. It turns out that such simplicial complexes are closely related to a range of hypergraphs which generalize bipartite graphs and trees. These relationships allow us to obtain very general results on standard graded vertex cover algebras which cover previous major results on Rees algebras of squarefree monomial ideals.

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