Geodesic
On the real-rootedness of the local \(h\)-polynomials of edgewise subdivisions
Philip B. Zhang1
1Tianjin Normal University
The electronic journal of combinatorics, Tome 26 (2019) no. 1
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Athanasiadis conjectured that, for every positive integer $r$, the local $h$-polynomial of the $r$th edgewise subdivision of any simplex has only real zeros. In this paper, based on the theory of interlacing polynomials, we prove that a family of polynomials related to the desired local $h$-polynomial is interlacing and hence confirm Athanasiadis' conjecture.
DOI : 10.37236/7492
Classification : 26C10, 05A15

Philip B. Zhang  1

1 Tianjin Normal University 
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     title = {On the real-rootedness of the local \(h\)-polynomials of edgewise subdivisions},
     journal = {The electronic journal of combinatorics},
     year = {2019},
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Philip B. Zhang. On the real-rootedness of the local \(h\)-polynomials of edgewise subdivisions. The electronic journal of combinatorics, Tome 26 (2019) no. 1. doi: 10.37236/7492

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