The $γ$-vector of a barycentric subdivision

Details The $γ$-vector of a barycentric subdivision The $γ$-vector of a barycentric subdivision

2010-03-12

arxiv.org/abs/1003.2544v1

Mathematics

Combinatorics

Scientific paper

We prove that the $\gamma$-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.

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