On the column number and forbidden submatrices for $\Delta$-modular matrices

Joseph Paat, Ingo Stallknecht, Zach Walsh +1

An integer matrix $\mathbf{A}$ is $\Delta$-modular if the determinant of each $\text{rank}(\mathbf{A})\times \text{rank}(\mathbf{A})$ submatrix of $\mathbf{A}$ has absolute value at mo…