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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.04146 |
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| _version_ | 1866912017345937408 |
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| author | Clare, Pierre Li, Chi-Kwong Poon, Edward Swartz, Eric |
| author_facet | Clare, Pierre Li, Chi-Kwong Poon, Edward Swartz, Eric |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_04146 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Noncommutative distances on graphs: An explicit approach via Birkhoff-James orthogonality Clare, Pierre Li, Chi-Kwong Poon, Edward Swartz, Eric Operator Algebras Combinatorics 58B34, 46B20, 05C12, 05C50, 15A60 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. |
| title | Noncommutative distances on graphs: An explicit approach via Birkhoff-James orthogonality |
| topic | Operator Algebras Combinatorics 58B34, 46B20, 05C12, 05C50, 15A60 |
| url | https://arxiv.org/abs/2409.04146 |