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math.CO2023
Balanced 2-subsets
Mikhail V. Bludov, Oleg R. Musin
Balanced sets appeared in the 1960s in cooperative game theory as a part of nonempty core conditions. In this paper we present a classification of balanced families containing only…
math.CO2023
A colored Tverberg type theorem for unavoidable complexes
Mikhail Bludov
The main result of this paper is a "colored Tverberg theorem for rainbow-unavoidable complexes". This theorem may be considered as a merging of two theorems: "Tverberg theorem for…