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

Access to Document

10.1080/00927872.2014.982810

Cite this

@article{f7e69ca585074b66a2b0fa2db64b9fae,

title = "Projective Dimension of String and Cycle Hypergraphs",

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.",

author = "Lin, \{Kuei Nuan\} and Paolo Mantero",

note = "Publisher Copyright: {\textcopyright} 2016, Copyright {\textcopyright} Taylor \& Francis Group, LLC.",

year = "2016",

month = apr,

day = "2",

doi = "10.1080/00927872.2014.982810",

language = "English (US)",

volume = "44",

pages = "1671--1694",

journal = "Communications in Algebra",

issn = "0092-7872",

publisher = "Taylor and Francis Ltd.",

number = "4",

}

TY - JOUR

T1 - Projective Dimension of String and Cycle Hypergraphs

AU - Lin, Kuei Nuan

AU - Mantero, Paolo

PY - 2016/4/2

Y1 - 2016/4/2

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84960331349

UR - https://www.scopus.com/inward/citedby.url?scp=84960331349&partnerID=8YFLogxK

U2 - 10.1080/00927872.2014.982810

DO - 10.1080/00927872.2014.982810

M3 - Article

AN - SCOPUS:84960331349

SN - 0092-7872

VL - 44

SP - 1671

EP - 1694

JO - Communications in Algebra

JF - Communications in Algebra

IS - 4

ER -

Projective Dimension of String and Cycle Hypergraphs

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this