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arXiv · 2409.04146

Noncommutative distances on graphs: An explicit approach via Birkhoff-James orthogonality

Pierre Clare·Chi-Kwong Li·Edward Poon·Eric Swartz
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Abstract

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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Pierre Clare, Chi-Kwong Li, Edward Poon, Eric Swartz. 2024-09-06. Noncommutative distances on graphs: An explicit approach via Birkhoff-James orthogonality. https://arxiv.org/abs/2409.04146

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