Ognjen Papaz

activity

20242026

collaborators

5 papers

math.CO2026

A geometric proof of the Brenti--Welker identity

Ognjen Papaz

We construct a hypersimplicial subdivision of the $r$ -dilation of the $i$ -th hypersimplex of dimension $d$ that provides a geometric proof of the Brenti--Welker identity.

math.CO2025

A labeling of the Simplex-Lattice Hypergraph with at most 2 colors on each hyperedge

Ognjen Papaz, Duško Jojić

This paper provides a positive answer to the question of Mirzakhani and Vondrak that asks if there is a Sperner-admissible labeling of the simplex-lattice hypergraph such that each…

math.CO2025

Sperner's colorings of hypergraphs arising from edgewise triangulations

Duško Jojić, Ognjen Papaz

We investigate Sperner's labelings of $H_{k, q}^{π}$ , the hypergraph whose hyperedges are facets of the edgewise triangulation of a $(k - 1)$ -simplex defined by a permutation $π\in \mat…

math.CO2024

Shelling of links and star clusters in edgewise subdivision of a simplex

Duško Jojić, Ognjen Papaz

We show that the combinatorial types of the links of the vertices in the edgewise triangulation $T_{k, q}$ of a $(k - 1)$ -simplex are encoded by the partitions of $k$ . Each of these c…

math.GN2024

On a generalization of compact and connected spaces

Nebojsa Elez, Ognjen Papaz

In this paper we will give two different natural generalizations of compact spaces and connected spaces simultaneously. We will show that these generalizations coincide for the sub…