Jan Soukup

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math.CO2025

Extending simple monotone drawings

Jan KynÄl, Jan Soukup

We prove the following variant of Levi's Enlargement Lemma: for an arbitrary arrangement $A$ of $x$ -monotone pseudosegments in the plane and a pair of points $a, b$ with d…

math.CO2024

Bicolored point sets admitting non-crossing alternating Hamiltonian paths

Jan Soukup

Consider a bicolored point set $P$ in general position in the plane consisting of $n$ blue and $n$ red points. We show that if a subset of the red points forms the vertices of a co…