Preprints

• Combinatorics of generalized orthogonal polynomials of type R_II (with Jang Soo Kim) arXiv:2411.12345

Published/Accepted Papers

• 2025
  • Combinatorics of orthogonal polynomials on the unit circle (with Jihyeug Jang), The Ramanujan Journal, 68:84 (2025), 1–36. Link
  • Combinatorial reciprocity for Riordan arrays (with Jihyeug Jang and Louis W. Shapiro), Linear Algebra and its Applications, 721 (2025), 419–448. Link
  • Refined canonical stable Grothendieck polynomials and their duals, Part 2 (with Byung-Hak Hwang, Jihyeug Jang, Jang Soo Kim, and U-Keun Song), European Journal of Combinatorics, 127 (2025), 104166. arXiv:2404.02483
  • Kemeny’s constant and enumerating Braess edges in trees (with Jihyeug Jang, Mark Kempton, Sooyeong Kim, Adam Knudson, and Neal Madras), Linear & Multilinear Algebra, 2025, 1–37 arXiv:2309.02977
  • Strictly monotone sequences of lower and upper bounds on Perron values and their combinatorial applications (with Sooyeong Kim), Linear & Multilinear Algebra, 2025, 1–29. arXiv:2207.06016

• 2024

  • Refined canonical stable Grothendieck polynomials and their duals, Part 1 (with Byung-Hak Hwang, Jihyeug Jang, Jang Soo Kim, and U-Keun Song), Advances in Mathematics, 446 (2024), 109670 arXiv:2104.04251
  • A Riordan group poset (with Louis W. Shapiro), Linear Algebra and its Applications, 689 (2024), 66–85. Link
• 2023
  • Kemeny’s constant and Wiener index on trees (with Jihyeug Jang and Sooyeong Kim), Linear Algebra and its Applications, 674 (2023), 230–243. arxiv:2209.11271
  • Negative moments of orthogonal polynomials (with Jihyeug Jang, Donghyun Kim, Jang Soo Kim, and U-Keun Song), Forum of Mathematics, Sigma 11 (2023), Paper No. e22, 34 pp. arxiv:2201.11344
• 2022
  • Enumeration of bipartite non-crossing geometric graphs (with Gi-Sang Cheon, Hong Joon Choi, and Guillermo Esteban), Discrete Applied Mathematics, 317 (2022), 86–100. Link
• ~2021
  • A new aspect of Riordan arrays via Krylov matrices, (with Gi-Sang Cheon), Linear Algebra and its Applications, 554 (2018), 329–341. Link
  • Finite and infinite dimensional Lie group structures on Riordan groups (with Gi-Sang Cheon, Ana Luzón, Manuel A. Morón, and Luis Felipe Prieto-Martinez) Advances in Mathematics 319 (2017), 522–566. Link