Projective Dimension of String and Cycle Hypergraphs

Kuei Nuan Lin; Paolo Mantero

doi:10.1080/00927872.2014.982810

Projective Dimension of String and Cycle Hypergraphs

Kuei Nuan Lin, Paolo Mantero

Penn State Greater Allegheny

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We present a closed formula and a simple algorithmic procedure to compute the projective dimension of square-free monomial ideals associated to string or cycle hypergraphs. As an application, among these ideals we characterize all the Cohen–Macaulay ones.

Original language	English (US)
Pages (from-to)	1671-1694
Number of pages	24
Journal	Communications in Algebra
Volume	44
Issue number	4
DOIs	https://doi.org/10.1080/00927872.2014.982810
State	Published - Apr 2 2016

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1080/00927872.2014.982810

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abstract = "We present a closed formula and a simple algorithmic procedure to compute the projective dimension of square-free monomial ideals associated to string or cycle hypergraphs. As an application, among these ideals we characterize all the Cohen–Macaulay ones.",

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Projective Dimension of String and Cycle Hypergraphs

Abstract

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