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math.CO2025
Hadamard Products of dual Jacobi-Trudi matrices
Robert Angarone, Jang Soo Kim, Jaeseong Oh +1
We study positivity properties of Hadamard products of Jacobi-Trudi matrices. Maló proved that the Hadamard (entrywise) product of two totally positive upper-triangular Toeplitz ma…
math.CO2025
Total positivity of Hadamard product of dual Jacobi--Trudi matrices
Jang Soo Kim, Jaeseong Oh
In 1992, Wagner proved that the Hadamard product of two totally positive lower triangular Toeplitz matrices is totally positive. In this work, we strengthen this result by establis…
math.CO2025
Refinement of Hikita's -positivity theorem via Abreu--Nigro's -functions and restricted modular law
JiSun Huh, Byung-Hak Hwang, Donghyun Kim +2
We study the symmetric functions \( g_{\mm,k}(x;q) \), introduced by Abreu and Nigro for a Hessenberg function \( \mm \) and a positive integer \( k \), which refine the chromatic…