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math.MG2009★ 1 cited
Highest coefficients of weighted Ehrhart quasi-polynomials for a rational polytope
Velleda Baldoni, Nicole Berline, Michèle Vergne
We describe a method for computing the highest degree coefficients of a weighted Ehrhart quasi-polynomial for a rational simple polytope.
math.MG2008★ 64 cited
How to Integrate a Polynomial over a Simplex
Velleda Baldoni, Nicole Berline, Jesus De Loera +2
This paper settles the computational complexity of the problem of integrating a polynomial function f over a rational simplex. We prove that the problem is NP-hard for arbitrary po…