On uniform Higmanian association schemes
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917472402145280 |
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| author | Ryabov, Grigory |
| author_facet | Ryabov, Grigory |
| contents | An imprimitive symmetric indecomposable association scheme of rank $5$ is said to be Higmanian. In the present paper, we prove a necessary and sufficient condition for a Higmanian association scheme with two nontrivial parabolics to be uniform. We also provide examples of uniform Higmanian Cayley schemes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_07679 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On uniform Higmanian association schemes Ryabov, Grigory Combinatorics 05B05, 05E30 An imprimitive symmetric indecomposable association scheme of rank $5$ is said to be Higmanian. In the present paper, we prove a necessary and sufficient condition for a Higmanian association scheme with two nontrivial parabolics to be uniform. We also provide examples of uniform Higmanian Cayley schemes. |
| title | On uniform Higmanian association schemes |
| topic | Combinatorics 05B05, 05E30 |
| url | https://arxiv.org/abs/2605.07679 |