V. A. Byzov, I. A. Pushkarev, “On the existence of directed strongly regular graphs with parameters $(22, 9, 6, 3, 4)$”, Prikl. Diskr. Mat., 2024, no. 66, 86

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Prikladnaya Diskretnaya Matematika, 2024, Number 66, Pages 86–96
DOI: https://doi.org/10.17223/20710410/66/8 (Mi pdm858)

Applied Graph Theory

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

V. A. Byzov, I. A. Pushkarev

Vyatka State University, Kirov, Russia

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DOI: https://doi.org/10.17223/20710410/66/8

Abstract: The paper shows the existence of the family of directed strongly regular graphs with parameters $(22, 9, 6, 3, 4)$. The adjacency matrices of the found digraphs consist of $3\times 3$ circulant blocks. The automorphism group of all the digraphs found is the group $\mathbb{Z}_3$. The structure of the resulting digraphs has been described using the concepts of skeleton and rigging.

Keywords: directed strongly regular graph, circulant matrix, compactification of matrices, automorphism group, isomorphic digraphs.

Document Type: Article

UDC: 519.172.3

Language: Russian

Citation: V. A. Byzov, I. A. Pushkarev, “On the existence of directed strongly regular graphs with parameters $(22, 9, 6, 3, 4)$”, Prikl. Diskr. Mat., 2024, no. 66, 86–96

Citation in format AMSBIB

\Bibitem{ByzPus24}

\by V.~A.~Byzov, I.~A.~Pushkarev

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

\jour Prikl. Diskr. Mat.

\yr 2024

\issue 66

\pages 86--96

\mathnet{http://mi.mathnet.ru/pdm858}

\crossref{https://doi.org/10.17223/20710410/66/8}

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