Finite Free Resolutions and 1-Skeletons of Simplicial Complexes

Naoki Terai, Takayuki Hibi

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


A technique of minimal free resolutions of Stanley-Reisner rings enables us to show the following two results: (1) The 1-skeleton of a simplicial (d - 1)-sphere is d-connected, which was first proved by Barnette; (2) The comparability graph of a non-planar distributive lattice of rank d - 1 is d-connected.

Original languageEnglish
Pages (from-to)89-93
Number of pages5
JournalJournal of Algebraic Combinatorics
Issue number1
Publication statusPublished - 1997
Externally publishedYes


  • 1-skeleton
  • Comparability graph
  • Free resolution
  • Simplicial complex
  • d-connected

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Discrete Mathematics and Combinatorics


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