The $\gamma$-vector of a barycentric subdivision
Combinatorics
2010-03-15 v1 Algebraic Topology
Abstract
We prove that the -vector of the barycentric subdivision of a simplicial sphere is the -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 -vector of the barycentric subdivision of a boolean complex.
Cite
@article{arxiv.1003.2544,
title = {The $\gamma$-vector of a barycentric subdivision},
author = {Eran Nevo and T. Kyle Petersen and Bridget Eileen Tenner},
journal= {arXiv preprint arXiv:1003.2544},
year = {2010}
}