most citedBalanced convex partitions of lines in the plane

1 citations · 1 across the 1 of their papers we have counts for

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2 papers

math.MG2019★ 1 cited

Balanced convex partitions of lines in the plane

Alexander Xue, Pablo Soberón

We prove an extension of a ham sandwich theorem for families of lines in the plane by Dujmović and Langerman. Given two sets of lines each in the plane, we prove that it…

math.CO2019

Quantitative combinatorial geometry for concave functions

Sherry Sarkar, Alexander Xue, Pablo Soberón

We prove several exact quantitative versions of Helly's and Tverberg's theorems, which guarantee that a finite family of convex sets in has a large intersection. Our results…