Results 1 to 10 of about 406,237 (253)
Detecting network anomalies using Forman–Ricci curvature and a case study for human brain networks [PDF]
Scientific Reports, 2021 We analyze networks of functional correlations between brain regions to identify changes in their structure caused by Attention Deficit Hyperactivity Disorder (adhd).
Tanima Chatterjee +4 more
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Comparative analysis of two discretizations of Ricci curvature for complex networks [PDF]
Sci Rep, 2018 We have performed an empirical comparison of two distinct notions of discrete Ricci curvature for graphs or networks, namely, the Forman-Ricci curvature and Ollivier-Ricci curvature.
Gu, Jiao +5 more
core +3 more sources
Ollivier Ricci curvature of directed hypergraphs [PDF]
Scientific Reports, 2019 Many empirical networks incorporate higher order relations between elements and therefore are naturally modelled as, possibly directed and/or weighted, hypergraphs, rather than merely as graphs.
Marzieh Eidi, J. Jost
semanticscholar +8 more sources
On Ricci Curvature of a Homogeneous Generalized Matsumoto Finsler Space
Mathematics, 2023 The characterization of Finsler spaces with Ricci curvature is an ancient and cumbersome one. In this paper, we have derived an expression of Ricci curvature for the homogeneous generalized Matsumoto change.
Yanlin Li +3 more
doaj +2 more sources
Ricci Curvature on Polyhedral Surfaces via Optimal Transportation [PDF]
Axioms, 2014 The problem of correctly defining geometric objects, such as the curvature, is a hard one in discrete geometry. In 2009, Ollivier defined a notion of curvature applicable to a wide category of measured metric spaces, in particular to graphs.
Benoît Loisel, Pascal Romon
doaj +7 more sources
Introducing quantum Ricci curvature [PDF]
Physical Review D, 2017 Motivated by the search for geometric observables in nonperturbative quantum gravity, we define a notion of coarse-grained Ricci curvature. It is based on a particular way of extracting the local Ricci curvature of a smooth Riemannian manifold by ...
N. Klitgaard, R. Loll
semanticscholar +6 more sources
Ricci curvature of submanifolds in Kenmotsu space forms [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 In 1999, Chen established a sharp relationship between the Ricci curvature and the squared mean curvature for a submanifold in a Riemannian space form with arbitrary codimension.
Kadri Arslan +4 more
doaj +2 more sources
Implementing quantum Ricci curvature [PDF]
Physical Review D, 2018 Quantum Ricci curvature has been introduced recently as a new, geometric observable characterizing the curvature properties of metric spaces, without the need for a smooth structure.
N. Klitgaard, R. Loll
semanticscholar +5 more sources
Ricci curvature for metric-measure spaces via optimal transport [PDF]
, 2004 We dene a notion of a measured length space X having nonnegative N-Ricci curvature, for N 2 [1;1), or having1-Ricci curvature bounded below byK, forK2 R.
John Lott, Cédric Villani
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Ricci curvature and minimal submanifolds [PDF]
Pacific Journal of Mathematics, 2001 The aim of this paper is to nd necessary conditions for a given complete Riemannian manifold to be realizable as a minimal submanifold of a unit sphere.
Thomas Hasanis, Theodoros Vlachos
openalex +4 more sources