On orthogonality graphs of Okubo algebras
Rings and Algebras
2026-04-07 v3
Abstract
The orthogonality graph of an Okubo algebra with isotropic norm over an arbitrary field 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.
Cite
@article{arxiv.2601.15501,
title = {On orthogonality graphs of Okubo algebras},
author = {Danil Pavlinov and Svetlana Zhilina},
journal= {arXiv preprint arXiv:2601.15501},
year = {2026}
}