Projective Dimension of Hypergraphs

Kuei Nuan Lin*, Sonja Mapes

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapter


Given a square-free monomial ideal I, satisfying certain hypotheses, in a polynomial ring R over a field K, we compute the projective dimension of I. Specifically, we focus on the cases where the 1-skeleton of an associated hypergraph is either a string or a cycle. We investigate the impact on the projective dimension when higher dimensional edges are removed. We prove that the higher dimensional edge either has no effect on the projective dimension or the projective dimension only goes up by one with the extra higher dimensional edge.

Original languageEnglish (US)
Title of host publicationAssociation for Women in Mathematics Series
PublisherSpringer Science and Business Media Deutschland GmbH
Number of pages30
StatePublished - 2021

Publication series

NameAssociation for Women in Mathematics Series
ISSN (Print)2364-5733
ISSN (Electronic)2364-5741


  • Hypergraphs
  • Monomial ideals
  • Projective dimension

ASJC Scopus subject areas

  • Gender Studies
  • General Mathematics


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