Ricci curvature, graphs and eigenvalues

Siconolfi V (2021)
Linear Algebra and its Applications 620: 242-267.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
We express the discrete Ricci curvature of a graph as the minimal eigenvalue of a family of matrices, one for each vertex of a graph whose entries depend on the local adjacency structure of the graph. Using this method we compute or bound the Ricci curvature of Cayley graphs of finite Coxeter groups and affine Weyl groups. As an application we obtain an isoperimetric inequality that holds for all Cayley graphs of finite Coxeter groups. (C) 2021 Elsevier Inc. All rights reserved.
Stichworte
Ricci curvature; Cayley graphs; Coxeter theory; Graph theory
Erscheinungsjahr
2021
Zeitschriftentitel
Linear Algebra and its Applications
Band
620
Seite(n)
242-267
ISSN
0024-3795
eISSN
1873-1856
Page URI
https://pub.uni-bielefeld.de/record/2954672

Zitieren

Siconolfi V. Ricci curvature, graphs and eigenvalues. Linear Algebra and its Applications. 2021;620:242-267.
Siconolfi, V. (2021). Ricci curvature, graphs and eigenvalues. Linear Algebra and its Applications, 620, 242-267. https://doi.org/10.1016/j.laa.2021.02.026
Siconolfi, V. (2021). Ricci curvature, graphs and eigenvalues. Linear Algebra and its Applications 620, 242-267.
Siconolfi, V., 2021. Ricci curvature, graphs and eigenvalues. Linear Algebra and its Applications, 620, p 242-267.
V. Siconolfi, “Ricci curvature, graphs and eigenvalues”, Linear Algebra and its Applications, vol. 620, 2021, pp. 242-267.
Siconolfi, V.: Ricci curvature, graphs and eigenvalues. Linear Algebra and its Applications. 620, 242-267 (2021).
Siconolfi, Viola. “Ricci curvature, graphs and eigenvalues”. Linear Algebra and its Applications 620 (2021): 242-267.

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