Quantitative Combinatorial Geometry for Concave Functions

(2019) Joint with Sherry Sarkar and Alexander Xue

Tverberg partitions as weak epsilon-nets


Combinatorica 39 no. 2, pp. 447-458

Tverberg's theorem is 50 years old: a survey

(2018) Joint with Imre Bárány

Bull. Amer. Math. Soc. 55 no. 4, pp. 459-492

Tverberg plus minus

(2018) Joint with Imre Bárány

Discrete Comput. Geom. 60 no. 3, pp. 588-598

Robust Tverberg and colorful Carathéodory results via random choice


Combinatorics, Probability and Computing 27 (3) pp. 427-440

Quantitative Tverberg theorems over lattices and other discrete sets

(2017) Joint with J.A. De Loera, R. N. La Haye, D. Rolnick

Discrete Comput. Geom. 58(2) 435-448

Quantitative (p,q) theorems in combinatorial geometry

(2017) Joint with D. Rolnick

Discrete Math. 340(10) pp.2516-2527

(2017) Joint with J.A. De Loera, R. N. La Haye and D. Rolnick

Discrete Comput. Geom. 57(2) pp.318-334

Algorithmic aspects of Tverberg's theorem

(2016) Joint with D. Rolnick

Helly-type theorems for the diameter

(2016) Bull. London Math. Soc. 48 (4): 577-588.

(2015) Combinatorica 35(2) pp. 235-252

Proceeding version in

(2013) Proceedings of the 29th annual symposium on Symposium on computational geometry. pp91-96

Quantitative Tverberg, Helly & Carathéodory theorems

(2015) Joint with J.A. De Loera, R. N. La Haye and D. Rolnick

(2012) Joint with R. Strausz

Discrete Comput. Geom.47(3), pp.455-460, doi: 10.1007/s00454-011-9379-z

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© 2019 by Pablo Soberón.