Results 11 to 20 of about 71,917 (238)
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
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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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FORMAN–RICCI CURVATURE FOR HYPERGRAPHS [PDF]
Advances in Complex Systems, 2021 Hypergraphs serve as models of complex networks that capture more general structures than binary relations. For graphs, a wide array of statistics has been devised to gauge different aspects of their structures. Hypergraphs lack behind in this respect.
Wilmer Leal +3 more
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Ollivier Ricci curvature of directed hypergraphs [PDF]
Scientific Reports, 2020 AbstractMany 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. In order to develop a systematic tool for the statistical analysis of such hypergraph, we propose a general definition of Ricci curvature on directed ...
Marzieh Eidi, Jürgen Jost
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Curvature Inheritance Symmetry in Ricci Flat Spacetimes [PDF]
Universe, 2022 In this article, we study curvature inheritance symmetry in Ricci flat spacetimes. We show that, if Ricci flat spacetimes are not of Petrov type N, and admit curvature inheritance symmetries, then the only existing symmetries are conformal motions.
Mohammad Salman +2 more
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Non-local interaction in discrete Ricci curvature-induced biological aggregation [PDF]
Royal Society Open ScienceWe investigate the collective dynamics of multi-agent systems in two- and three-dimensional environments generated by minimizing discrete Ricci curvature with local and non-local interaction neighbourhoods.
Jyotiranjan Beuria, Laxmidhar Behera
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A Review of and Some Results for Ollivier–Ricci Network Curvature [PDF]
Mathematics, 2020 Characterizing topological properties and anomalous behaviors of higher-dimensional topological spaces via notions of curvatures is by now quite common in mainstream physics and mathematics, and it is therefore natural to try to extend these notions from
Nazanin Azarhooshang +2 more
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Ricci curvature: An economic indicator for market fragility and systemic risk [PDF]
Science Advances, 2016 Tryphon T Georgiou, Allen R Tannenbaum
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On $m$-th root metrics of isotropic projective Ricci curvature [PDF]
AUT Journal of Mathematics and Computing, 2023 The Ricci curvature is introduced by spray on $M^n$. Sprays are deformed to projective sprays with a volume form $dV$ on $M^n$. The projective Ricci curvature is defined as the expression of Ricci curvature with sprays.
Mehran Gabrani +2 more
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Comparative analysis of two discretizations of Ricci curvature for complex networks [PDF]
Scientific Reports, 2018 Areejit Samal, Shiping Liu, Emil Saucan
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