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math.CO2026
Latin Squares with Few Transversals
Zur Luria
Let denote the minimum number of transversals in a Latin square of odd order . Improving upon a recent bound of Dai, Divoux and Kelly, we prove that for every such th…
math.CO2026
More Vertices of the Tristochastic Polytope
Nati Linial, Zur Luria, Maya Trakhtman
The doubly stochastic matrices constitute a polytope in , and by Birkhoff's theorem, its vertex set coincides with the set of order- permutation ma…