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Do $K_{3,3}$-Free Latin Squares Exist?

Krotov, Aleksandr D. et al.
arXiv (All) · Papers
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combinatorics
We discuss the problem of the existence of latin squares without a substructure consisting of six elements $(r_1,c_2,l_3)$, $(r_2,c_3,l_1)$, $(r_3,c_1,l_2)$, $(r_2,c_1,l_3)$, $(r_3,c_2,l_1)$, $(r_1,c_3,l_2)$. Equivalently, the corresponding latin square graph does not have an induced subgraph isomor
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