Combinatorial properties of the enhanced principal rank characteristic sequence over finite fields

Peter J. Dukes, Xavier Martínez-Rivera

The enhanced principal rank characteristic sequence (epr-sequence) of a symmetric matrix $B\in {\mathbb{F}}^{n\times n}$ is defined as ${\ell }_1{\ell }_2\cdots {\ell }_n$, where $\ell_j…