Merging percolation on Zd and classical random graphs: Phase transition

@article{Turova2010MergingPO,
  title={Merging percolation on Zd and classical random graphs: Phase transition},
  author={Tatyana S. Turova and Thomas Vallier},
  journal={Random Struct. Algorithms},
  year={2010},
  volume={36},
  pages={185-217}
}
We study a random graph model which is a superposition of bond percolation on Zd with parameter p, and a classical random graph G(n, c/n). We show that this model, being a homogeneous random graph, has a natural relation to the so-called “rank 1 case” of inhomogeneous random graphs. This allows us to use the newly developed theory of inhomogeneous random… CONTINUE READING