Valentino Smaldore

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20202026

m

-ovoids in classical polar spaces

1 citations · 1 across the 15 of their papers we have counts for

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17 papers · 1 filter

math.CO2026

Vertex-transitive strongly regular graphs in the switching class of doubly transitive two-graphs

Robert F. Bailey, Gábor P. Nagy, Valentino Smaldore

Let $G$ be a permutation group that acts $2$ -transitively on the finite set $V$ and let $T = (V, T)$ be a two-graph whose automorphism group contains $G$ . In this paper, we…

math.CO2026

Classification of Deza graphs from anisotropic association schemes of quadrics

Valentino Smaldore

Let $Q^{ε} (3, q)$ , where $ε \in {+, -}$ and $q > 3$ is odd, be a non-degenerate hyperbolic or elliptic quadric of $P G (3, q)$ . Fix one of the two quadratic classes of a…

math.CO2026

Ramanujan polar graphs

Valentino Smaldore

Recently, a construction of minimal codes arising from a family of almost Ramanujan graphs was shown. Ramanujan graphs are examples of expander graphs that minimize the second-larg…

math.CO2025

Regular fat linear sets

Valentino Smaldore, Corrado Zanella, Ferdinando Zullo

In this work, we introduce $(r, i)$ -regular fat linear sets, which are defined as linear sets containing exactly $r$ points of weight $i$ and all other points of weight one. This no…

math.CO2025

Strongly regular graphs from hyperbolic quadrics and their maximal cliques

Antonio Cossidente, Jan De Beule, Giuseppe Marino +2

Let $Q^{+} (2 n + 1, q)$ be a hyperbolic quadric of $\PG(2n+1,q)$. Fix a generator $Π$ of the quadric. Define $\cG_n$ as the graph with as vertex set the points of $Q^+(2n+1,q)\setminus Π…

math.CO2024

On Geometry and Combinatorics of Finite Classical Polar Spaces

Valentino Smaldore

Polar spaces over finite fields are fundamental in combinatorial geometry. The concept of polar space was firstly introduced by F. Veldkamp who gave a system of 10 axioms in the sp…