Local h-vectors of Quasi-Geometric and Barycentric Subdivisions

2017/04/26 by Juhnke-Kubitzke, Martina, Murai, Satoshi, Sieg, Richard · 1 citation
#05A05 #05E45 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1704.08057

Abstract

In this paper, we answer two questions on local h-vectors, which were asked by Athanasiadis. First, we characterize all possible local h-vectors of quasi-geometric subdivisions of a simplex. Second, we prove that the local γ-vector of the barycentric subdivision of any CW-regular subdivision of a simplex is nonnegative. Along the way, we derive a new recurrence formula for the derangement polynomials.

Cited by

• Subdivisions of lower Eulerian posets and KLS theory

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