Geodesic
About the determinant of complete non-ambiguous trees
Discrete mathematics & theoretical computer science, Tome 26 (2024) no. 3.

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Complete non-ambiguous trees (CNATs) are combinatorial objects which appear in various contexts.Recently, Chen and Ohlig studied the notion of permutations associated to these objects, and proposed a series of nice conjectures.Most of them were proved by Selig and Zhu, through a connection with the abelian sandpile model.But one conjecture remained open, about the distribution of a natural statistic named determinant.We prove this conjecture, in a bijective way. 
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     title = {About the determinant of complete non-ambiguous trees},
     journal = {Discrete mathematics & theoretical computer science},
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Aval, Jean-Christophe. About the determinant of complete non-ambiguous trees. Discrete mathematics & theoretical computer science, Tome 26 (2024) no. 3. doi : 10.46298/dmtcs.12850. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.12850/

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