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09/08/2023
Note on polychromatic coloring of hereditary hypergraph families
We exhibit a 5-uniform hypergraph that has no polychromatic 3-coloring, ...
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01/30/2023
Partitioned Matching Games for International Kidney Exchange
We introduce partitioned matching games as a suitable model for internat...
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12/03/2021
Three-chromatic geometric hypergraphs
We prove that for any planar convex body C there is a positive integer m...
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11/16/2021
The number of tangencies between two families of curves
We prove that the number of tangencies between the members of two famili...
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02/23/2021
On the number of hyperedges in the hypergraph of lines and pseudo-discs
Consider the hypergraph whose vertex set is a family of n lines in gener...
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11/02/2020
At most 4.47^n stable matchings
We improve the upper bound for the maximum possible number of stable mat...
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06/11/2020
An improved constant factor for the unit distance problem
We prove that the number of unit distances among n planar points is at m...
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12/05/2019
Almost-monochromatic sets and the chromatic number of the plane
In a colouring of R^d a pair (S,s_0) with S⊆R^d and with s_0∈ S is almos...
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09/24/2019
On Communication Complexity of Fixed Point Computation
Brouwer's fixed point theorem states that any continuous function from a...
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03/20/2019
Adaptive Majority Problems for Restricted Query Graphs and for Weighted Sets
Suppose that the vertices of a graph G are colored with two colors in an...
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01/12/2019
The range of non-linear natural polynomials cannot be context-free
Suppose that some polynomial f with rational coefficients takes only nat...
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11/29/2018
Unlabeled Compression Schemes Exceeding the VC-dimension
In this note we disprove a conjecture of Kuzmin and Warmuth claiming tha...
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06/11/2018
Plane drawings of the generalized Delaunay-graphs for pseudo-disks
We study general Delaunay-graphs, which are a natural generalizations of...
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06/11/2018
Coloring Delaunay-Edges and their Generalizations
We consider geometric graphs whose vertex set is a finite set of points ...
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06/09/2018
Acyclic orientations with degree constraints
In this note we study the complexity of some generalizations of the noti...
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09/02/2017