I. Pushkarev

collaborators

3 papers

math.CO2026

On an infinite sequence of strongly regular digraphs with parameters $(9 (2 n + 3), 3 (2 n + 3), 2 n + 4, 2 n + 1, 2 n + 4)$

Viktor A. Byzov, Igor A. Pushkarev

The paper constructs an infinite sequence of strongly regular directed graphs. The construction is based on representing adjacency matrices as block matrices composed of circulant…

math.CO2025

Explicit construction of infinite families of strongly regular digraphs with parameters $((v + (2^{n + 1} - 4) t) 2^{n - 1}, k + (2^{n} - 2) t, t, I^», t)$

Viktor A. Byzov, Igor A. Pushkarev

An explicit construction of infinite sequences of strongly regular digraphs with parameter sets $((v + (2^{n + 1} - 4) t) 2^{n - 1}, k + (2^{n} - 2) t, t, I^», t)$ is described. A computer program w…

math.CO2025

On the existence of directed strongly regular graphs with parameters (22, 9, 6, 3, 4)

Viktor A. Byzov, Igor A. Pushkarev

The paper shows the existence of a family of directed strongly regular graphs with parameters (22, 9, 6, 3, 4). The adjacency matrices of the found digraphs are composed of $3\time…

On an infinite sequence of strongly regular digraphs with parameters (9(2n+3),3(2n+3),2n+4,2n+1,2n+4)

Explicit construction of infinite families of strongly regular digraphs with parameters ((v+(2n+1−4)t)2n−1,k+(2n−2)t,t,I^»,t)

On the existence of directed strongly regular graphs with parameters (22, 9, 6, 3, 4)

On an infinite sequence of strongly regular digraphs with parameters $(9 (2 n + 3), 3 (2 n + 3), 2 n + 4, 2 n + 1, 2 n + 4)$

Explicit construction of infinite families of strongly regular digraphs with parameters $((v + (2^{n + 1} - 4) t) 2^{n - 1}, k + (2^{n} - 2) t, t, I^», t)$