Yi-Lin Lee

collaborators

3 papers

math.CO2025

Enumeration of pattern-avoiding $(0, 1)$ -matrices and their symmetry classes

Sen-Peng Eu, Yi-Lin Lee

Recently, Brualdi and Cao studied $I_{k}$ -avoiding $(0, 1)$ -matrices by decomposing them into zigzag paths and proved that the maximum number of $1$ 's in such a matrix is given by an…

math.CO2025

Domino Tilings, Domino Shuffling, and the Nabla Operator

Ian Cavey, Yi-Lin Lee

We study domino tilings of certain regions $R_{λ}$ , indexed by partitions $λ$ , weighted according to generalized area and dinv statistics. These statistics arise from the $q, t$ -Catal…

math.CO2024

Promotion, Tangled Labelings, and Sorting Generating Functions

Margaret Bayer, Herman Chau, Mark Denker +4

We study Defant and Kravitz's generalization of Schützenberger's promotion operator to arbitrary labelings of finite posets in two directions. Defant and Kravitz showed that applyi…

Enumeration of pattern-avoiding (0,1)-matrices and their symmetry classes

Domino Tilings, Domino Shuffling, and the Nabla Operator

Promotion, Tangled Labelings, and Sorting Generating Functions

Enumeration of pattern-avoiding $(0, 1)$ -matrices and their symmetry classes