The Γ-vector of a barycentric subdivision

Eran Nevo*, T. Kyle Petersen, Bridget Eileen Tenner

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

25 Scopus citations


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 languageAmerican English
Pages (from-to)1364-1380
Number of pages17
JournalJournal of Combinatorial Theory. Series A
Issue number4
StatePublished - May 2011
Externally publishedYes

Bibliographical note

Funding Information:
E-mail addresses: [email protected] (E. Nevo), [email protected] (T.K. Petersen), [email protected] (B.E. Tenner). 1 The author was partially supported by an NSF Award DMS-0757828.


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


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