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math.CO2026
Counting and constructing Latin tableaux
Spencer Daugherty, Michaela Fahnesock, Shawn Huxtable +3
Latin tableaux generalize Latin squares to Young diagrams and have interesting connections to linear algebra and Rota's basis conjecture. Conjecturally, a partition admits Latin ta…
math.CO2026
Shuffle-compatibility for combinatorial statistics on words, parking functions, and set partitions
Spencer Daugherty, Jinting Liang
We introduce notions of (weak) shuffle-compatibility for statistics on words, parking functions, and set partitions, generalizing Gessel and Zhuang's shuffle-compatibility for stat…