Ehrhart Polynomial Roots And Stanley'S Non-Negativity Theorem
msra(2008)
摘要
Stanley's non-negativity theorem is at the heart of many of the results in Ehrhart theory. In this paper, we analyze the root behavior of general polynomials satisfying the conditions of Stanley's theorem and compare this to the known root behavior of Ehrhart polynomials. We provide a possible counterexample to a conjecture of the second author, M. Beck, J. De Loera, J. Pfeifle, and R. Stanley, and contribute some experimental data as well.
更多查看译文
关键词
polynomial roots. 1,1. ehrhart theory key words and phrases. lattice polytopes,ehrhart theory,satisfiability,ehrhart polynomial
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络