857 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Hungarian Academy of SciencesHU402 papers
- Eötvös Loránd UniversityHU156 papers
- Budapest University of Technology and EconomicsHU58 papers
- Central European UniversityAT42 papers
- École Polytechnique Fédérale de LausanneCH31 papers
- Central European University - Budapest Campus24 papers
- University of PannoniaHU23 papers
- Centre National de la Recherche ScientifiqueFR21 papers
- University College LondonGB20 papers
- University of SzegedHU20 papers
- University of Illinois Urbana-ChampaignUS18 papers
- Charles UniversityCZ15 papers
5 papers · 2 filters
Decomposition of multiple packings with subquadratic union complexity
János Pach, Bartosz Walczak
Suppose is a positive integer and is a -fold packing of the plane by infinitely many arc-connected compact sets, which means that every point of the plane belo…
Curves in R^d intersecting every hyperplane at most d+1 times
Imre Barany, Jiri Matousek, Attila Por
By a curve in R^d we mean a continuous map gamma:I -> R^d, where I is a closed interval. We call a curve gamma in R^d at most k crossing if it intersects every hyperplane at most k…
Topology of geometric joins
Imre Barany, Andreas F. Holmsen, Roman Karasev
We consider the geometric join of a family of subsets of the Euclidean space. This is a construction frequently used in the (colorful) Carathéodory and Tverberg theorems, and their…
Distinct distances on algebraic curves in the plane
János Pach, Frank de Zeeuw
Let be a set of points in the real plane contained in an algebraic curve of degree . We prove that the number of distinct distances determined by is at least $c_…
Erdős - Szekeres Theorem for Lines
Imre Bárány, Edgardo Roldán-Pensado, Géza Tóth
According to the Erdős-Szekeres theorem, for every , a sufficiently large set of points in general position in the plane contains in convex position. In this note we investi…