14 citations · 35 across the 7 of their papers we have counts for
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math.MG2015★ 14 cited
Quantitative Tverberg, Helly, & Carathéodory theorems
J. A. De Loera, R. N. La Haye, D. Rolnick +1
This paper presents sixteen quantitative versions of the classic Tverberg, Helly, & Caratheodory theorems in combinatorial convexity. Our results include measurable or enumerable i…
math.MG2015★ 9 cited
Quantitative theorems in combinatorial geometry
David Rolnick, Pablo Soberón
We show quantitative versions of classic results in discrete geometry, where the size of a convex set is determined by some non-negative function. We give versions of this kind for…