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

Autor:	Clare, Pierre, Li, Chi-Kwong, Poon, Edward, Swartz, Eric
Rok vydání:	2024
Předmět:	Mathematics - Operator Algebras Mathematics - Combinatorics 58B34 46B20 05C12 05C50 15A60
Druh dokumentu:	Working Paper
Popis:	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. Comment: 26 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2409.04146 Zobrazit plný text záznamu View this record from Arxiv