Lora R. Du

collaborators

2 papers

math.CO2026

Labeled Plane Trees and Increasing Plane Trees

Lora R. Du, Kathy Q. Ji, Dax T. X. Zhang

The main aim of this paper is to establish a polynomial analogue of $(n + 1)! C_{n} = 2^{n} (2 n - 1)!!$ (with $C_{n}$ as the $n$ -th Catalan number) in the setting of labeled plane trees and incr…

math.CO2026

The inversion number statistic for inversion sequences

Lora R. Du, Guo-Niu Han

Inversion sequences, also known as subexcedant sequences, form a fundamental class of objects in enumerative combinatorics. In this paper, we study the joint distribution of five s…