# Percolation in random graphs with higher-order clustering.

@article{Mann2021PercolationIR, title={Percolation in random graphs with higher-order clustering.}, author={P. Mann and V. Smith and J. B. Mitchell and S. Dobson}, journal={Physical review. E}, year={2021}, volume={103 1-1}, pages={ 012313 } }

Percolation theory can be used to describe the structural properties of complex networks using the generating function formulation. This mapping assumes that the network is locally treelike and does not contain short-range loops between neighbors. In this paper we use the generating function formulation to examine clustered networks that contain simple cycles and cliques of any order. We use the natural generalization to the Molloy-Reed criterion for these networks to describe their criticalâ€¦Â Expand

#### 5 Citations

Random graphs with arbitrary clustering and their applications.

- Medicine, Physics
- Physical review. E
- 2021

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