Vertex cover algebras of unimodular hypergraphs

Herzog, Jürgen; Hibi, Takayuki; Trung, Ngô

doi:10.1090/S0002-9939-08-09308-8

Vertex cover algebras of unimodular hypergraphs
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by Jürgen Herzog, Takayuki Hibi and Ngô Viêt Trung PDF

Proc. Amer. Math. Soc. 137 (2009), 409-414 Request permission

Abstract:

It is proved that all vertex cover algebras of a hypergraph are standard graded if and only if the hypergraph is unimodular. This has interesting consequences on the symbolic powers of monomial ideals.

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