5 citations · 10 across the 4 of their papers we have counts for
3 papers
math.CO2014★ 2 cited
Connectivity of pseudomanifold graphs from an algebraic point of view
Karim A. Adiprasito, Afshin Goodarzi, Matteo Varbaro
The connectivity of graphs of simplicial and polytopal complexes is a classical subject going back at least to Steinitz, and the topic has since been studied by many authors, inclu…
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…
math.CO2014★ 5 cited
Methods from Differential Geometry in Polytope Theory
Karim Alexander Adiprasito
The purpose of this thesis is to study classical combinatorial objects, such as polytopes, polytopal complexes, and subspace arrangements, using tools that have been developed in c…