Séminaire Lotharingien de Combinatoire, 93B.42 (2025), 12 pp.
Juliette Schabanel
3D Permutations and Triangle Solitaire
Abstract.
We provide a bijection between a class of $3$-dimensional pattern avoiding
permutations
and triangle bases, special sets of integer points arising from the theory of
TEP subshifts. This answers a conjecture of Bonichon and Morel.
Received: November 15, 2024.
Accepted: February 15, 2025.
Final version: April 1, 2025.
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