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math.CO2016
-polynomials of zonotopes
Matthias Beck, Katharina Jochemko, Emily McCullough
The Ehrhart polynomial of a lattice polytope encodes information about the number of integer lattice points in positive integral dilates of . The -polynomial of …
math.CO2016
Combinatorial mixed valuations
Katharina Jochemko, Raman Sanyal
Combinatorial mixed valuations associated to translation-invariant valuations on polytopes are introduced. In contrast to the construction of mixed valuations via polarization, com…
math.CO2016
On the real-rootedness of the Veronese construction for rational formal power series
Katharina Jochemko
We study real sequences that eventually agree with a polynomial. We show that if the numerator polynomial of its rational generating series is of degr…