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math.CO2006
Ehrhart Polynomial Roots and Stanley's Non-negativity Theorem
Benjamin Braun, Mike Develin
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 conditi…
math.CO2006
Norm bounds for Ehrhart polynomial roots
Benjamin Braun
M. Beck, J. De Loera, M. Develin, J. Pfeifle and R. Stanley found that the roots of the Ehrhart polynomial of a d-dimensional lattice polytope are bounded above in norm by 1+(d+1)!…