2 citations · 2 across the 8 of their papers we have counts for
8 papers
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…
Stability of political structures modeled by simplicial complexes under mediation, splitting, and shellability
Duško Jojić, Franjo Šarčević
Modeling political structures by simplicial complexes, we investigate whether introducing a mediator into a substructure increases or decreases the stability of the overall structu…
Sperner's colorings of hypergraphs arising from edgewise triangulations
Duško Jojić, Ognjen Papaz
We investigate Sperner's labelings of , the hypergraph whose hyperedges are facets of the edgewise triangulation of a -simplex defined by a permutation $π\in \mat…
Lower bounds on the number of envy-free divisions
Duško Jojić, Gaiane Panina, Rade Živaljević
We analyze lower bounds for the number of envy-free divisions, in the classical Woodall-Stormquist setting and in a non-classical case, when envy-freeness is combined with the equi…
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 of a -simplex are encoded by the partitions of . Each of these c…
Cooperative envy-free division
Duško Jojić, Gaiane Panina, Rade Živaljević
Relying on configuration spaces and equivariant topology, we study a general "cooperative envy-free division problem". A group of players want to cut a "cake" and divide…
Generalized chessboard complexes and discrete Morse theory
Duško Jojić, Gaiane Panina, Siniša T. Vrećica +1
Chessboard complexes and their generalizations, as objects, and Discrete Morse theory, as a tool, are presented as a unifying theme linking different areas of geometry, topology, a…
Colored Tverberg problem, extensions and new results
Duško Jojić, Gaiane Panina, Rade T. Živaljević
We prove a "multiple colored Tverberg theorem" and a "balanced colored Tverberg theorem", by applying different methods, tools and ideas. The proof of the first theorem uses multip…