Bartosz Walczak

activity

20122026

most citedTriangle-free intersection graphs of line segments with large chromatic number

67 citations · 377 across the 34 of their papers we have counts for

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2 papers · 1 filter

math.MG2014★ 3 cited

On the Beer index of convexity and its variants

Martin Balko, Vít Jelínek, Pavel Valtr +1

Let $S$ be a subset of $R^{d}$ with finite positive Lebesgue measure. The Beer index of convexity $b (S)$ of $S$ is the probability that two points of $S$ chos…

math.MG2013★ 2 cited

Decomposition of multiple packings with subquadratic union complexity

János Pach, Bartosz Walczak

Suppose $k$ is a positive integer and $X$ is a $k$ -fold packing of the plane by infinitely many arc-connected compact sets, which means that every point of the plane belo…