DOAJ Open Access 2024

About the determinant of complete non-ambiguous trees

Jean-Christophe Aval

Abstrak

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.

Topik & Kata Kunci

Penulis (1)

J

Jean-Christophe Aval

Format Sitasi

Aval, J. (2024). About the determinant of complete non-ambiguous trees. https://doi.org/10.46298/dmtcs.12850

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.12850
Informasi Jurnal
Tahun Terbit
2024
Sumber Database
DOAJ
DOI
10.46298/dmtcs.12850
Akses
Open Access ✓