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math.CO2026
From Unit Interval Orders to Totally Nonnegative Matrices: Permanental Inequalities and Bruhat-Increasing Bijections
Sihong Pan, Mark Skandera, Jiayuan Wang
Given an matrix and subsets of , let denote the -submatrix of . 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…
math.CO2026
On Kazhdan--Lusztig basis elements having no reversal factorization
Tommy Parisi, Ben Spahiu, Mark Skandera +1
For in the symmetric group , let be the corresponding modified, signless Kazhdan--Lusztig basis element of the type- Hecke algebra . An extensi…