Bakhadly, B. R. Orthogonality graph of the algebra of upper triangular matrices. (English) Zbl 1373.05102 Oper. Matrices 11, No. 2, 455-463 (2017). Summary: We study the connectedness and the diameter of orthogonality graphs of upper triangular matrix algebras over arbitrary fields. Cited in 7 Documents MSC: 05C50 Graphs and linear algebra (matrices, eigenvalues, etc.) 05C25 Graphs and abstract algebra (groups, rings, fields, etc.) 05C40 Connectivity 05C12 Distance in graphs 15A24 Matrix equations and identities Keywords:orthogonality; upper triangular matrices × Cite Format Result Cite Review PDF Full Text: DOI arXiv