Percolation in Spatial Networks - Spatial Network Models Beyond Nearest Neighbours Structures

Percolation theory is a well studied process utilized by networks theory to understand the resilience of networks under random or targeted attacks. Despite their importance, spatial networks have been less studied under the percolation process compared to the extensively studied non-spatial networks. In this Element, the authors will discuss the developments and challenges in the study of percolation in spatial networks ranging from the classical nearest neighbors lattice structures, through more generalized spatial structures such as networks with a distribution of edge lengths or community structure, and up to spatial networks of networks.

List of contents

1. Introduction; 2. Beyond classical structures; 3. Percolation in interdependent networks; 4. Localized attack in interdependent networks; 5. Conclusions; References.

Summary

In this Element, the authors will discuss the developments and challenges in the study of percolation in spatial networks ranging from the classical nearest neighbors lattice structures, through more generalized spatial structures such as networks with a distribution of edge lengths or community structure, up to spatial networks of networks.

Product details

• Authors: Bnaya Gross, Bnaya (Bar-Ilan University Gross, Shlomo Havlin, Shlomo (Bar-Ilan University Havlin, Havlin Shlomo
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 31.07.2022
• EAN: 9781009168083
• ISBN: 978-1-0-0916808-3
• No. of pages: 75
• Series: Elements in the Structure and Dynamics of Complex Networks; Elements in Structure and Dyna
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > General, dictionaries; SCIENCE / Physics / Mathematical & Computational, Mathematical physics, Mathematical / Computational / Theoretical physics