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Orthogonality graph of the algebra of upper triangular matrices. (English) Zbl 1373.05102

Summary: We study the connectedness and the diameter of orthogonality graphs of upper triangular matrix algebras over arbitrary fields.

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