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math.CO2025
Enumeration of pattern-avoiding -matrices and their symmetry classes
Sen-Peng Eu, Yi-Lin Lee
Recently, Brualdi and Cao studied -avoiding -matrices by decomposing them into zigzag paths and proved that the maximum number of 's in such a matrix is given by an…
math.CO2025
Block diagonally symmetric lozenge tilings
Seok Hyun Byun, Yi-Lin Lee
We introduce a new symmetry class of both plane partitions and lozenge tilings of a hexagon, called the \textit{-block diagonal symmetry class}, where is a…
math.CO2025
Domino Tilings, Domino Shuffling, and the Nabla Operator
Ian Cavey, Yi-Lin Lee
We study domino tilings of certain regions , indexed by partitions , weighted according to generalized area and dinv statistics. These statistics arise from the -Catal…