Geodesic
On the existence of directed strongly regular graphs with parameters $(22, 9, 6, 3, 4)$
Prikladnaâ diskretnaâ matematika, no. 4 (2024), pp. 86-96.

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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, isomorphic digraphs.
Mots-clés : circulant matrix, compactification of matrices, automorphism group 
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V. A. Byzov; I. A. Pushkarev. On the existence of directed strongly regular graphs with parameters $(22, 9, 6, 3, 4)$. Prikladnaâ diskretnaâ matematika, no. 4 (2024), pp. 86-96. http://geodesic.mathdoc.fr/item/PDM_2024_4_a7/

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