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math.OA2026
The effect of edge deletion on noncommutative distances on graphs
Eric Swartz
For a Dirac operator on a finite weighted graph, let denote the associated noncommutative (Connes) distance. We show that deleting an edge can actually decrease the nonco…
math.OA2024
Noncommutative distances on graphs: An explicit approach via Birkhoff-James orthogonality
Pierre Clare, Chi-Kwong Li, Edward Poon +1
We study the problem of calculating noncommutative distances on graphs, using techniques from linear algebra, specifically, Birkhoff-James orthogonality. A complete characterizatio…