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

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.

List of contents

1. 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.

Summary

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.

Product details

• Authors: Marian Boguna, Marian (Universitat de Barcelona) Boguna, Marián Boguñá, M Ángeles Serrano, M. Angeles Serrano, M. Ángeles Serrano, M. Angeles (Universitat de Barcelona) Serrano, M. Angeles (Universitat De Barcelona) Bog Serrano, M. Angeles Boguna Serrano, M. NGELES SERRANO
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 31.10.2021
• EAN: 9781108791083
• ISBN: 978-1-108-79108-3
• No. of pages: 75
• Series: Elements in the Structure and Dynamics of Complex Networks; Elements in Structure and Dyna; Elements in the Structure and
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > General, dictionaries; SCIENCE / Physics / General, SCIENCE / Physics / Mathematical & Computational, MATHEMATICS / Discrete Mathematics, Discrete Mathematics, Mathematical physics, Maths for computer scientists, Statistical physics, Mathematical / Computational / Theoretical physics