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math.CO2025
Seaweed algebras with restricted part sizes
Kassie Archer, Aaron Geary, Robert P. Laudone
Seaweed algebras are a class of Lie algebras that are naturally characterized by a pair of compositions, which in turn are represented visually as planar graphs called meanders. Th…
math.CO2025
Pattern-avoiding shallow permutations
Kassie Archer, Aaron Geary, Robert P. Laudone
Shallow permutations were defined in 1977 to be those that satisfy the lower bound of the Diaconis-Graham inequality. Recently, there has been renewed interest in these permutation…