Kevin Iván Piterman

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math.CO2025

Notes on the topology of independence structures

Kevin Ivan Piterman, Volkmar Welker

Following Welsh, a pre-independence space (pi-space) is a set $M$ together with a non-empty collection $I (M)$ of subsets of $M$ , called independent sets, which is closed under taki…

math.CO2023

On the frame complex of symplectic spaces

Kevin Ivan Piterman

For a symplectic space $V$ of dimension $2 n$ over $F_{q}$ , we compute the eigenvalues of its orthogonality graph. This is the simple graph with vertices the $2$ -dimensiona…