4 papers · 1 filter
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…
On Ternary Trees and Fighting Fish
Sen-Peng Eu, Tung-Shan Fu, Yu-Ren Pan
Fighting fish is a combinatorial configuration introduced by Duchi, Guerrini, Rinaldi and Schaeffer as a new model of branching surfaces that generalizes directed convex polyominoe…
Meanders and Dyck-Path Billiards
Sen-Peng Eu, Tung-Shan Fu, Hsiang-Chun Hsu
We study a statistic on the ordered pairs of Dyck paths of size , which counts the number of billiard trajectories in the grid polygon enclosed by an…
Bijective Enumeration and Sign-Imbalance for Permutation Depth and Excedances
Sen-Peng Eu, Tung-Shan Fu, Yuan-Hsun Lo
We present a simplified variant of Biane's bijection between permutations and 3-colored Motzkin paths with weight that keeps track of the inversion number, excedance number and a s…