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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.CO2024
Ky Fan theorem for sphere bundles
Gaiane Panina, Rade Živaljević
The classic Ky Fan theorem is a combinatorial equivalent of Borsuk-Ulam theorem. It is a generalization and extension of Tucker's lemma and, just like its predecessor, it pinpoints…