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About the Determinant of Complete Non-ambiguous Trees by Aval, Jean-Christophe is a scholarly article available to read on EtoBox.

What is About the Determinant of Complete Non-ambiguous Trees about?

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.

Author

Aval, Jean-Christophe

Published

2023

Language

EN