Geodesic
Associated Permutations of Complete Non-Ambiguous Trees
Discrete mathematics & theoretical computer science, Tome 25 (2023-2024) no. 2.

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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.
DOI : 10.46298/dmtcs.11169
Classification : 05A05, 05C05 
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     title = {Associated {Permutations} of {Complete} {Non-Ambiguous} {Trees}},
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Chen, Daniel; Ohlig, Sebastian. Associated Permutations of Complete Non-Ambiguous Trees. Discrete mathematics & theoretical computer science, Tome 25 (2023-2024) no. 2. doi : 10.46298/dmtcs.11169. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.11169/

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