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

Showing 2014Show all

2 papers · 1 filter

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…

math.MG2014★ 7 cited

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

Roman Karasev, Jan Kynčl, Pavel Paták +2

We estimate the selection constant in the following geometric selection theorem by Pach: For every positive integer $d$ there is a constant $c_{d} > 0$ such that whenever $X_1,..., X…