Rainbow matchings and algebras of sets

Graphs and Combinatorics, Volume 33, Issue 2, 2017, Pages 473-484.

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Abstract:

Grinblat (Algebras of Sets and Combinatorics, Translations of Mathematical Monographs, vol. 214. AMS, Providence, 2002) asks the following question in the context of algebras of sets: What is the smallest number $\\mathfrak {v} = \\mathfrak {v}(n)$v=v(n) such that, if $A_1, \\ldots , A_n$A1,¿,An are n equivalence relations on a common...More

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