J. Kynčl

activity

20072026

most citedCrossing numbers and combinatorial characterization of monotone drawings of

K_{n}

30 citations · 208 across the 26 of their papers we have counts for

collaborators

Showing 2017 · math.COShow all

3 papers · 2 filters

math.CO2017★ 6 cited

Counterexample to an extension of the Hanani-Tutte theorem on the surface of genus 4

Radoslav Fulek, Jan Kynčl

We find a graph of genus $5$ and its drawing on the orientable surface of genus $4$ with every pair of independent edges crossing an even number of times. This shows that the stron…

math.CO2017

Induced Ramsey-type results and binary predicates for point sets

Martin Balko, Jan Kynčl, Stefan Langerman +1

Let $k$ and $p$ be positive integers and let $Q$ be a finite point set in general position in the plane. We say that $Q$ is $(k, p)$ -Ramsey if there is a finite point set $P$ such t…

math.CO2017★ 10 cited

A superlinear lower bound on the number of 5-holes

Oswin Aichholzer, Martin Balko, Thomas Hackl +5

Let $P$ be a finite set of points in the plane in general position, that is, no three points of $P$ are on a common line. We say that a set $H$ of five points from $P$ is a $5$ -hol…