Email this article The Ricci curvature of a weighted tree
- Authors: Rubleva O.V.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 100, No 3-4 (2016)
- Pages: 597-606
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149803
- DOI: https://doi.org/10.1134/S0001434616090315
- ID: 149803
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Abstract
An expression for the coarse Ricci curvature of a weighted tree with a random walk on the vertex set is obtained. As a corollary, it is shown that the structure of a binary tree can be reconstructed up to isomorphism from the matrix of pairwise Ricci curvatures of its vertices.
About the authors
O. V. Rubleva
Lomonosov Moscow State University
Author for correspondence.
Email: rubleva-olga91@mail.ru
Russian Federation, Moscow
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