14 citations · 35 across the 7 of their papers we have counts for
Showing 2016Show all
3 papers · 1 filter
math.MG2016★ 2 cited
Quantitative Tverberg theorems over lattices and other discrete sets
J. A. De Loera, R. N. La Haye, D. Rolnick +1
This paper presents a new variation of Tverberg's theorem. Given a discrete set of , we study the number of points of needed to guarantee the existence of an -parti…
math.MG2016★ 1 cited
Quantitative combinatorial geometry for continuous parameters
J. A. De Loera, R. N. La Haye, D. Rolnick +1
We prove variations of Carathéodory's, Helly's and Tverberg's theorems where the sets involved are measured according to continuous functions such as the volume or diameter. Among…
cs.CG2016★ 4 cited
Algorithms for Tverberg's theorem via centerpoint theorems
David Rolnick, Pablo Soberón
We obtain algorithms for computing Tverberg partitions based on centerpoint approximations. This applies to a wide range of convexity spaces, from the classic Euclidean setting to…