3 citations · 4 across the 2 of their papers we have counts for
2 papers
math.CO2014★ 1 cited
Enumerating neighborly polytopes and oriented matroids
Hiroyuki Miyata, Arnau Padrol
Neighborly polytopes are those that maximize the number of faces in each dimension among all polytopes with the same number of vertices. Despite their extremal properties they form…
math.MG2014★ 3 cited
Universality theorems for inscribed polytopes and Delaunay triangulations
Karim A. Adiprasito, Arnau Padrol, Louis Theran
We prove that every primary basic semialgebraic set is homotopy equivalent to the set of inscribed realizations (up to Möbius transformation) of a polytope. If the semialgebraic se…