Percolation in Spatial Networks

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Percolation in Spatial Networks

Spatial Network Models Beyond Nearest Neighbours Structures

Mathematical physics

Authors: Bnaya Gross, Shlomo Havlin

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Collection: Elements in Structure and Dynamics of Complex Networks

Language: English

Published by: Cambridge University Press

Published on: 14th July 2022

Format: LCP-protected ePub

Size: 5 Mb

ISBN: 9781009178693


Percolation theory

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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