Si-Hong Pan

collaborators

2 papers

math.CO2026

From Unit Interval Orders to Totally Nonnegative Matrices: Permanental Inequalities and Bruhat-Increasing Bijections

Sihong Pan, Mark Skandera, Jiayuan Wang

Given an $n \times n$ matrix $A = (a_{i, j})$ and subsets $I, J$ of $[1, n] := {1, \dots, n}$ , let $A_{I, J} = (a_{i, j})_{i \in I, j \in J}$ denote the $(I, J)$ -submatrix of $A$ . We prove that,…

math.CO2026

Permanental Inequalities and Unit Interval Orders

Sihong Pan, Mark Skandera, Jiayuan Wang

Given a square matrix, the permanent is a determinant-like function without signs. In this paper, we study inequalities involving permanents of certain submatrices. We first focus…