Betti numbers of chordal graphs and f-vectors of simplicial complexes

Takayuki Hibi, Kyouko Kimura, Satoshi Murai

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Let G be a chordal graph and I (G) its edge ideal. Let β (I (G)) = (β0, β1, ..., βp) denote the Betti sequence of I (G), where βi stands for the ith total Betti number of I (G) and where p is the projective dimension of I (G). It will be shown that there exists a simplicial complex Δ of dimension p whose f-vector f (Δ) = (f0, f1, ..., fp) coincides with β (I (G)).

Original languageEnglish
Pages (from-to)1678-1689
Number of pages12
JournalJournal of Algebra
Volume323
Issue number6
DOIs
Publication statusPublished - 2010 Mar 15

Keywords

  • Betti sequence
  • Chordal graph
  • Monomial ideal
  • Simplicial complex
  • f-Vector

ASJC Scopus subject areas

  • Algebra and Number Theory

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