The Γ-vector of a barycentric subdivision

Eran Nevo, T. Kyle Petersen, Bridget Eileen Tenner

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

We prove that the γ-vector of the barycentric subdivision of a simplicial sphere is the f-vector of a balanced simplicial complex. The combinatorial basis for this work is the study of certain refinements of Eulerian numbers used by Brenti and Welker to describe the h-vector of the barycentric subdivision of a boolean complex.

Original languageEnglish
Pages (from-to)1364-1380
Number of pages17
JournalJournal of Combinatorial Theory - Series A
Volume118
Issue number4
DOIs
StatePublished - 1 May 2011

Keywords

  • Charney-Davis conjecture
  • F-vector
  • Gal's conjecture
  • γ-vector

Fingerprint

Dive into the research topics of 'The Γ-vector of a barycentric subdivision'. Together they form a unique fingerprint.

Cite this