Pierre Clare, Chi-Kwong Li, Edward Poon, Eric Swartz
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Noncommutative distances on graphs: An explicit approach via Birkhoff-James orthogonality
We study the problem of calculating noncommutative distances on graphs, using
techniques from linear algebra, specifically, Birkhoff-James orthogonality. A
complete characterization of the solutions is obtained in the case when the
underlying graph is a path.
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