The phase transition in the Edős-Rényi random graph process

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Abstract

We shall review the foundation of the theory of random graphs by Paul Erdős and Alfréd Rényi, and sketch some of the later developments concerning the giant component, including some very recent results.

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Bollobás, B., & Riordan, O. (2013). The phase transition in the Edős-Rényi random graph process. In Bolyai Society Mathematical Studies (Vol. 25, pp. 59–110). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-39286-3_3

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