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arXiv:1605.02298 [math.CO]AbstractReferencesReviewsResources

On the Real-rootedness of the Local $h$-polynomials of Edgewise Subdivisions of Simplexes

Philip B. Zhang

Published 2016-05-08Version 1

Athanasiadis conjectured, for every positive integer $r$, the local $h$-polynomial of $r$th edgewise subdivision of any abstract complex has only real zeros. In this paper, we prove this conjecture by the method of interlacing polynomials, which recently has been widely developed.

Comments: 6 pages
Categories: math.CO, math.CA
Subjects: 26C10, 05E45, 52B45, 05A15
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