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Percolation in Spatial Networks

Spatial Network Models Beyond Nearest Neighbours Structures

Published online by Cambridge University Press:  15 June 2022

Bnaya Gross
Affiliation:
Bar-Ilan University, Israel
Shlomo Havlin
Affiliation:
Bar-Ilan University, Israel

Summary

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.
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Online ISBN: 9781009168076
Publisher: Cambridge University Press
Print publication: 14 July 2022

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