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Random Structures and Algorithms· 2012Q1

The phase transition in random graphs: A simple proof

Michael Krivelevich, Benny Sudakov

Short summary

A simple proof demonstrates that for p=(1+ε)/n, random graphs G(n,p) typically contain a path of linear length, confirming a sharp phase transition.

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Field: Discrete Mathematics and Combinatorics

Discrete Mathematics and CombinatoricsMathematics