Latin Squares and their Bruhat Order

Rosário Fernandes, Henrique F. da Cruz, Domingos Salomão · Libraries and Cultural Resources (University of Calgary) · 2018

In this paper we investigate the Bruhat order on the class of Latin squares. We study its cover relation and minimal elements. We prove that the class of Latin squares of order $n$, with $n ot\in\{1,2,4\}$, has at least two minimal elements, and we present a process to construct some minimal Latin squares for this relation.

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