17 citations · 73 across the 26 of their papers we have counts for
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math.CO2012
The degree of point configurations: Ehrhart theory, Tverberg points and almost neighborly polytopes
Benjamin Nill, Arnau Padrol
The degree of a point configuration is defined as the maximal codimension of its interior faces. This concept is motivated from a corresponding Ehrhart-theoretic notion for lattice…
math.MG2012★ 2 cited
Many neighborly polytopes and oriented matroids
Arnau Padrol
In this paper we present a new technique to construct neighborly polytopes, and use it to prove a lower bound of ((r+d)^((r/2+d/2)^2))/(r^((r/2)^2)d^((d/2)^2)e^(3rd/4)) for the num…