Higher chordality: From graphs to complexes

Karim A. Adiprasito, Eran Nevo, Jose A. Samper

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


We generalize the fundamental graph-theoretic notion of chordality for higher dimensional simplicial complexes by putting it into a proper context within homology theory. We generalize some of the classical results of graph chordality to this generality, including the fundamental relation to the Leray property and chordality theorems of Dirac.

Original languageEnglish
Pages (from-to)3317-3329
Number of pages13
JournalProceedings of the American Mathematical Society
Issue number8
StatePublished - 1 Jan 2016
Externally publishedYes


  • Castelnuovo-Mumford regularity
  • Chordal graph
  • Leray property
  • Simplicial complex

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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