Author

M. Newman

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Preprint Jul 2026

Strongly-connected percolation on directed lattices

We study percolation on lattices with directed bonds, focusing on the behavior of strongly-connected percolation clusters -- clusters in which every site is reachable from every other along a directed path. We consider the two-dimensional square lattice and various globally isotropic arrangements of the directions of t...

M. Newman, P. Grassberger, R. Ziff · 0 citations

Jul 2026

Component structure and percolation in block models

The stochastic block model is a widely studied model of community structure in networks. Here we study the component structure and percolation properties of networks generated from this model and its variants, using exact methods based on probability generating functions. In particular, we derive expressions for the si...

R. Franchi, M. Newman · arXiv.org · 0 citations