1 citations · 2 across the 9 of their papers we have counts for
9 papers
Richardson tableaux and Motzkin paths
Sen-Peng Eu, Tung-Shan Fu, Yi-Hao Kao +1
Richardson tableaux were introduced by Karp and Precup in their study of irreducible components of Springer fibers that are Richardson varieties. Guo gave an explicit bijection bet…
Rowmotion on hook and two-row alt -Tamari lattices
Sen-Peng Eu, Vei-Cheng Hioe, Yi-Lin Lee
In 2024, Ceballos and Chenevi{è}re introduced alt -Tamari lattices, parameterized by a lattice path and an increment vector , as a common generalization of -Tamari and…
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…
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…
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…
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…
Propp's benzels and Lai's nearly symmetric hexagons with holes
Seok Hyun Byun, Mihai Ciucu, Yi-Lin Lee
In this paper we present a new version of the second author's factorization theorem for perfect matchings of symmetric graphs. We then use our result to solve four open problems of…
Off-diagonally symmetric domino tilings of the Aztec diamond of odd order
Yi-Lin Lee
We study the enumeration of off-diagonally symmetric domino tilings of odd-order Aztec diamonds in two directions: (1) with one boundary defect, and (2) with maximally-many zeroes…
An extension of the Lindström-Gessel-Viennot theorem
Yi-Lin Lee
Consider a weighted directed acyclic graph having an upward planar drawing. We give a formula for the total weight of the families of non-intersecting paths on with any giv…