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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.15417 |
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| _version_ | 1866914046936088576 |
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| author | Byzov, Viktor A. Pushkarev, Igor A. |
| author_facet | Byzov, Viktor A. Pushkarev, Igor A. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_15417 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the existence of directed strongly regular graphs with parameters (22, 9, 6, 3, 4) Byzov, Viktor A. Pushkarev, Igor A. Combinatorics 05C20 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. |
| title | On the existence of directed strongly regular graphs with parameters (22, 9, 6, 3, 4) |
| topic | Combinatorics 05C20 |
| url | https://arxiv.org/abs/2509.15417 |