Associated Permutations of Complete Non-Ambiguous Trees

Autor: Chen, Daniel, Ohlig, Sebastian
Rok vydání: 2022
Předmět:
Zdroj: Discrete Mathematics & Theoretical Computer Science, vol. 25:2, Combinatorics (April 3, 2024) dmtcs:11169
Druh dokumentu: Working Paper
DOI: 10.46298/dmtcs.11169
Popis: We explore new connections between complete non-ambiguous trees (CNATs) and permutations. We give a bijection between tree-like tableaux and a specific subset of CNATs. This map is used to establish and solve a recurrence relation for the number of tree-like tableaux of a fixed size without occupied corners, proving a conjecture by Laborde-Zubieta. We end by establishing a row/column swapping operation on CNATs and identify new areas for future research.
Databáze: arXiv