83 citations · 542 across the 80 of their papers we have counts for
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math.CO2015★ 6 cited
Colorful theorems for strong convexity
Andreas F. Holmsen, Roman Karasev
We prove two colorful Carathéodory theorems for strongly convex hulls, generalizing the colorful Caratéodory theorem for ordinary convexity by Imre Bárány, the non-colorful Carathé…
math.MG2015★ 1 cited
Bounding minimal solid angles of polytopes
Arseniy Akopyan, Roman Karasev
In this article we study the following question: What can be the measure of the minimal solid angle of a simplex in ? We show that in dimensions three it is not great…
math.CO2015★ 2 cited
Residues and the Combinatorial Nullstellensatz
Roman Karasev
We interpret the Combinatorial Nullstellensatz of Noga Alon as a multidimensional residue formula, describe some consequences of this interpretation and related open problems.