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

Takayuki Hibi, Kyouko Kimura, Satoshi Murai

研究成果: Article

2 引用 (Scopus)

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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)).

元の言語English
ページ(範囲)1678-1689
ページ数12
ジャーナルJournal of Algebra
323
発行部数6
DOI
出版物ステータスPublished - 2010 3 15

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ASJC Scopus subject areas

  • Algebra and Number Theory

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