Orthogonality graph of the algebra of upper triangular matrices
Bakhad Bakhadly
TL;DR
This paper investigates the structure of orthogonality graphs associated with upper triangular matrix algebras, focusing on their connectedness and diameter over various fields.
Contribution
It provides new insights into the properties of orthogonality graphs for upper triangular matrices, including their connectedness and diameter across different fields.
Findings
Orthogonality graphs are connected under certain conditions.
The diameter of these graphs varies with the underlying field.
Results generalize previous work on matrix algebra graphs.
Abstract
We study the connectedness and the diameter of orthogonality graphs of upper triangular matrix algebras over arbitrary fields.
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Taxonomy
TopicsAdvanced Topics in Algebra · Matrix Theory and Algorithms · Graph theory and applications