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 
@article{PDM_2024_4_a7,
     author = {V. A. Byzov and I. A. Pushkarev},
     title = {On the existence of directed strongly regular graphs with parameters $(22, 9, 6, 3, 4)$},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {86--96},
     publisher = {mathdoc},
     number = {4},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2024_4_a7/}
}
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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/