Gábor Damásdi

activity

20192026

most citedRealizing an m-uniform four-chromatic hypergraph with disks

1 citations · 1 across the 2 of their papers we have counts for

collaborators

Showing 2026Show all

3 papers · 1 filter

math.CO2026

Geometric Realizations with Strong Self-Duality Part II: Diameter Graphs, Reuleaux Polyhedra, and Thrackles

Gábor Damásdi

In this paper we construct new examples of diameter graphs and Reuleaux polyhedra in $R^{3}$ , obtaining a full characterization of their combinatorial structure. For a finit…

math.CO2026

Geometric Realizations with Strong Self-Duality Part I: Non-Bipartite Quadrangulations of the Projective Plane and Strongly Involutive Self-Dual Graphs

Gábor Damásdi

In this series of articles, we study two graph classes and their various geometric representations. The first class consists of strongly involutive self-dual graphs (SISD graphs);…

math.MG2026

Many Antipodal Pairs Force Many Neighboring Pairs

Gábor Damásdi, Laurentiu Ploscaru

Let $X = {x_{1}, \dots, x_{n}} \subset R^{2}$ be a finite set of points of diameter at most $1$ . It is natural to expect that if many pairs $(x_{i}, x_{j})$ lie at distance close to $1$ …