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Paper detail

The $γ$-vector of a barycentric subdivision

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.

preprint2010arXivOpen access
Eran NevoT. Kyle PetersenBridget Eileen Tenner
math.ATmath.CO
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Eran NevoT. Kyle PetersenBridget Eileen Tenner

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