Minho Song Mathematics

Papers

Work in algebraic and enumerative combinatorics, including Riordan groups, symmetric functions, orthogonal polynomials, and graph invariants.

Preprints

2026 · Preprint

An explicit formula for Koornwinder moments and Rains' positivity conjecture

With Younggwang Cho, Donghyun Kim, Jang Soo Kim, Hojoon Lee, and Jing Liu.

arXiv
2024 · Preprint

Combinatorics of generalized orthogonal polynomials of type RII

With Jang Soo Kim.

arXiv

Publications

2025
The Ramanujan Journal 68:84, 1–36

Combinatorics of orthogonal polynomials on the unit circle

With Jihyeug Jang.

Link
Linear Algebra and its Applications 721, 419–448

Combinatorial reciprocity for Riordan arrays

With Jihyeug Jang and Louis W. Shapiro.

Link
European Journal of Combinatorics 127, 104166

Refined canonical stable Grothendieck polynomials and their duals, Part 2

With Byung-Hak Hwang, Jihyeug Jang, Jang Soo Kim, and U-Keun Song.

arXiv
Linear & Multilinear Algebra 73:8, 1529–1565

Kemeny's constant and enumerating Braess edges in trees

With Jihyeug Jang, Mark Kempton, Sooyeong Kim, Adam Knudson, and Neal Madras.

arXiv
Linear & Multilinear Algebra 73:2, 322–350

Strictly monotone sequences of lower and upper bounds on Perron values and their combinatorial applications

With Sooyeong Kim.

arXiv
2024
Advances in Mathematics 446, 109670

Refined canonical stable Grothendieck polynomials and their duals, Part 1

With Byung-Hak Hwang, Jihyeug Jang, Jang Soo Kim, and U-Keun Song.

arXiv
Linear Algebra and its Applications 689, 66–85

A Riordan group poset

With Louis W. Shapiro.

Link
2023
Linear Algebra and its Applications 674, 230–243

Kemeny's constant and Wiener index on trees

With Jihyeug Jang and Sooyeong Kim.

arXiv
Forum of Mathematics, Sigma 11, e22

Negative moments of orthogonal polynomials

With Jihyeug Jang, Donghyun Kim, Jang Soo Kim, and U-Keun Song.

arXiv
2022
Discrete Applied Mathematics 317, 86–100

Enumeration of bipartite non-crossing geometric graphs

With Gi-Sang Cheon, Hong Joon Choi, and Guillermo Esteban.

Link
Earlier
Linear Algebra and its Applications 554, 329–341 · 2018

A new aspect of Riordan arrays via Krylov matrices

With Gi-Sang Cheon.

Link
Advances in Mathematics 319, 522–566 · 2017

Finite and infinite dimensional Lie group structures on Riordan groups

With Gi-Sang Cheon, Ana Luzón, Manuel A. Morón, and Luis Felipe Prieto-Martínez.

Link