Vertex cover algebras of unimodular hypergraphs

Jürgen Herzog; Takayuki Hibi; Ngô Viêt Trung

Journal ArticleOPEN ACCESS

Vertex cover algebras of unimodular hypergraphs

Herzog J
Hibi T
Trung N

Proceedings of the American Mathematical Society (2008) 137(02) 409-414

DOI: 10.1090/s0002-9939-08-09308-8

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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. © 2008 American Mathematical Society.

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APA

Herzog, J., Hibi, T., & Trung, N. V. (2008). Vertex cover algebras of unimodular hypergraphs. Proceedings of the American Mathematical Society, 137(02), 409–414. https://doi.org/10.1090/s0002-9939-08-09308-8

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Vertex cover algebras of unimodular hypergraphs

Abstract

References Powered by Scopus

Symbolic powers of monomial ideals and vertex cover algebras

Standard graded vertex cover algebras, cycles and leaves

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Embedded associated primes of powers of square-free monomial ideals

Regularity of powers of cover ideals of unimodular hypergraphs

The behavior of depth functions of cover ideals of unimodular hypergraphs

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