Compatible polynomials and edgewise subdivisions
Combinatorics
2016-05-18 v1
Abstract
In this paper we answer a question posed by C. A. Athanasiadis. Namely, we prove that the local -polynomial of the th edgewise subdivision of the -dimensional simplex has only real zeros. In doing so we find a tool, using compatible polynomials, that can be used to check if polynomials in certain types of families of polynomials have only real zeros.
Cite
@article{arxiv.1605.05287,
title = {Compatible polynomials and edgewise subdivisions},
author = {Madeleine Leander},
journal= {arXiv preprint arXiv:1605.05287},
year = {2016}
}
Comments
This paper is part of my doctoral thesis. Corollary 2.5 of this paper was recently independently proved by P. B. Zhang