Todor Antic

collaborators

3 papers

cs.CG2026

Hypercube drawings with no long plane paths

Todor Antić, Niloufar Fuladi, Anna Margarethe Limbach +1

We study the existence of plane substructures in drawings of the $d$ -dimensional hypercube graph $Q_{d}$ . We construct drawings of $Q_{d}$ which contain no plane subgraph with more tha…

cs.CG2025

Edge-Constrained Hamiltonian Paths on a Point Set

Todor Antić, Aleksa Džuklevski, Jiří Fiala +5

Let S be a set of distinct points in general position in the Euclidean plane. A plane Hamiltonian path on S is a crossing-free geometric path such that every point of S is a vertex…

math.CO2025

Crossing and non-crossing families

Todor Antić, Martin Balko, Birgit Vogtenhuber

For a finite set $P$ of points in the plane in general position, a \emph{crossing family} of size $k$ in $P$ is a collection of $k$ line segments with endpoints in $P$ that are pai…