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Latin Squares whose transversals share many entries

math.CO · 2024-12-17 · accept · novelty 6.0

For all even n at least 10 there exist latin squares with at least floor(n/6) entries common to every transversal and more than half of all entries in no transversal; for orders 3m, every transversal hits all nine equal subsquares.

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  • Latin Squares whose transversals share many entries math.CO · 2024-12-17 · accept · none · ref 4

    For all even n at least 10 there exist latin squares with at least floor(n/6) entries common to every transversal and more than half of all entries in no transversal; for orders 3m, every transversal hits all nine equal subsquares.