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arXiv · 2509.15417

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

Viktor A. Byzov·Igor A. Pushkarev
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Abstract

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 $3\times 3$ circulant blocks. The automorphism group of all the digraphs found is the group $\mathbb{Z}_3$. The structure of the resulting digraphs is described using concepts of skeleton and rigging.

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Viktor A. Byzov, Igor A. Pushkarev. 2025-09-18. On the existence of directed strongly regular graphs with parameters (22, 9, 6, 3, 4). https://doi.org/10.17223/20710410%2F66%2F8

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