Roman N. Karasev

collaborators

2 papers

math.CO2026

Cone and constrained colorful CarathÃ©odory Theorems

Pavle V. M. BlagojeviÄ, Roman N. Karasev, BÃ¡lint Zsigri

Holmsen proved in 2016 a generalization of the classical colorful Caratheodory theorem in which a matroid imposes additional constraints on the desired colorful transversal. His ap…

math.CO2025

Tensor rank of the determinant and periodic triangulations of $R^{n}$

Sergey Avvakumov, Roman Karasev

We prove that in any $Z^{n}$ -periodic triangulation of $R^{n}$ the number of $Z^{n}$ -orbits of $n$ -dimensional simplices is at least the tensor rank of the $n$ …

Cone and constrained colorful CarathÃ©odory Theorems

Tensor rank of the determinant and periodic triangulations of Rn

Tensor rank of the determinant and periodic triangulations of $R^{n}$