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arxiv: math/0703577 · v1 · submitted 2007-03-20 · 🧮 math.AC · math.CO

Vertex cover algebras of unimodular hypergraphs

classification 🧮 math.AC math.CO
keywords algebrascoverhypergraphunimodularvertexconsequencesgradedhypergraphs
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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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