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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.15501 |
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| _version_ | 1866910102077833216 |
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| author | Pavlinov, Danil Zhilina, Svetlana |
| author_facet | Pavlinov, Danil Zhilina, Svetlana |
| contents | The orthogonality graph of an Okubo algebra with isotropic norm over an arbitrary field $\mathbb{F}$ is considered. Its connected components are described, and their diameters are computed. It is shown that there exist at most two shortest paths between any pair of vertices, and the conditions under which the shortest path is unique are determined. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_15501 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On orthogonality graphs of Okubo algebras Pavlinov, Danil Zhilina, Svetlana Rings and Algebras 05C25, 17A75 The orthogonality graph of an Okubo algebra with isotropic norm over an arbitrary field $\mathbb{F}$ is considered. Its connected components are described, and their diameters are computed. It is shown that there exist at most two shortest paths between any pair of vertices, and the conditions under which the shortest path is unique are determined. |
| title | On orthogonality graphs of Okubo algebras |
| topic | Rings and Algebras 05C25, 17A75 |
| url | https://arxiv.org/abs/2601.15501 |