The Shortest Path to Network Geometry: A Practical Guide to Basic Models and Applications

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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))

The Shortest Path to Network Geometry

A Practical Guide to Basic Models and Applications

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))

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English

Cambridge University Press
06 January 2022

Discrete mathematics; Statistical physics; Mathematical physics; Maths for computer scientists

Series: Elements in the Structure and Dynamics of Complex Networks

Summary
Details

Real 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.

By: 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))
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Edition: New edition
Dimensions: Height: 228mm, Width: 152mm, Spine: 4mm
Weight: 100g
ISBN: 9781108791083
ISBN 10: 1108791085
Series: Elements in the Structure and Dynamics of Complex Networks
Pages: 75
Publication Date: 06 January 2022
Audience: General/trade , ELT Advanced
Format: Paperback
Publisher's Status: Active