Timeline for Seating problem: N tables with N people at each table
Current License: CC BY-SA 4.0
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Jul 24, 2023 at 17:28 | comment | added | David E Speyer | Remark: I wrote this answer using the standard description of mutually orthogonal Latin squares, but the definition I prefer is that having $d-2$ MOLS's is the same as having an $N^2$ element subset of $[N]^d$ which projects bijectively onto every $2$-dimensional coordinate plane. From this perspective, the subset is given by, for each person, listing the sequence of $d$ tables at which they have sat. | |
Jul 24, 2023 at 17:23 | history | edited | David E Speyer | CC BY-SA 4.0 |
added 2117 characters in body
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Jul 24, 2023 at 16:03 | history | answered | David E Speyer | CC BY-SA 4.0 |