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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