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OverviewReal networks comprise from hundreds to millions of interacting elements and permeate all contexts, from technology to biology to society. All of them display non-trivial connectivity patterns, including the small-world phenomenon, making nodes to be separated by a small number of intermediate links. As a consequence, networks present an apparent lack of metric structure and are difficult to map. Yet, many networks have a hidden geometry that enables meaningful maps in the two-dimensional hyperbolic plane. The discovery of such hidden geometry and the understanding of its role have become fundamental questions in network science giving rise to the field of network geometry. This Element reviews fundamental models and methods for the geometric description of real networks with a focus on applications of real network maps, including decentralized routing protocols, geometric community detection, and the self-similar multiscale unfolding of networks by geometric renormalization. Full Product DetailsAuthor: M. Ángeles Serrano (University of Barcelona, University of Barcelona Institute of Complex Systems (UBICS) and Catalan Institution for Research and Advanced Studies (ICREA)) , Marián Boguñá (University of Barcelona and University of Barcelona Institute of Complex Systems (UBICS))Publisher: Cambridge University Press Imprint: Cambridge University Press Edition: New edition Dimensions: Width: 15.20cm , Height: 0.40cm , Length: 22.80cm Weight: 0.100kg ISBN: 9781108791083ISBN 10: 1108791085 Pages: 75 Publication Date: 06 January 2022 Audience: General/trade , General Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of Contents1. From networks to maps; 2. Geometric models for static topologies; 3. Mapping real networks; 4. Mesoscale organization and community detection; 5. Self-similarity and renormalization; 6. Navigability; 7. Geometry of weighted, multiplex, and growing networks; 8. Conclusions; References.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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