3 papers
math.CO2025
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…
math.CO2025
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…
math.CO2023
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…