P. Paták

activity

20122019

most citedBounds for Pach's selection theorem and for the minimum solid angle in a simplex

7 citations · 9 across the 5 of their papers we have counts for

collaborators

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2 papers · 1 filter

cs.CG2016★ 1 cited

A Direct Proof of the Strong Hanani-Tutte Theorem on the Projective Plane

Éric Colin de Verdière, Vojtěch Kaluža, Pavel Paták +2

We reprove the strong Hanani-Tutte theorem on the projective plane. In contrast to the previous proof by Pelsmajer, Schaefer and Stasi, our method is constructive and does not rely…

cs.CG2014★ 1 cited

Three-monotone interpolation

Josef Cibulka, Jiří Matoušek, Pavel Paták

A function $f : R \to R$ is called \emph{ $k$ -monotone} if it is $(k - 2)$ -times differentiable and its $(k - 2)$ nd derivative is convex. A point set $P\subset\mathbb R…