Report
Estimating noncommutative distances on graphs
| العنوان: | Estimating noncommutative distances on graphs |
|---|---|
| المؤلفون: | Besnard, Fabien |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Operator Algebras, Mathematics - Combinatorics, 58B34, 05C99 |
| الوصف: | We report on some findings concerning Connes' noncommutative distance $d$ on a weighted undirected graph $G$. Our main result is the lower bound $\ell/\Delta(G)\le d$ where $\ell$ is the geodesic distance and $\Delta(G)$ the degree of $G$. It is obtained thanks to an auxiliary spectral triple on the collection of the edges of $G$. Comment: 24 p, 4 figures. Comments welcome ! |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2105.09056 |
| رقم الانضمام: | edsarx.2105.09056 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |