The phase transition in inhomogeneous random graphs

@article{Bollobs2007ThePT,
  title={The phase transition in inhomogeneous random graphs},
  author={B{\'e}la Bollob{\'a}s and Svante Janson and Oliver Riordan},
  journal={Random Struct. Algorithms},
  year={2007},
  volume={31},
  pages={3-122}
}
We introduce a very general model of an inhomogenous random graph with independence between the edges, which scales so that the number of edges is linear in the number of vertices. This scaling corresponds to the p=c/n scaling for G(n,p) used to study the phase transition; also, it seems to be a property of many large real-world graphs. Our model includes as special cases many models previously studied. We show that under one very weak assumption (that the expected number of edges is `what it… 
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