3 papers
math.CO2025
On generic -modular integer matrices with two rows
Björn Kriepke, Matthias Schymura
The column number question asks for the maximal number of columns of an integer matrix with the property that all its rank size minors are bounded by a fixed parameter in absol…
math.CO2024
The cyclicity rank of empty lattice simplices
Lukas Abend, Matthias Schymura
We are interested in algebraic properties of empty lattice simplices , that is, -dimensional lattice polytopes containing exactly points of the integer lattice $\mathbb…
math.CO2023
On the size of integer programs with bounded non-vanishing subdeterminants
Björn Kriepke, Gohar M. Kyureghyan, Matthias Schymura
Motivated by complexity questions in integer programming, this paper aims to contribute to the understanding of combinatorial properties of integer matrices of row rank and wit…