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from Part II - Erdős–Rényi–Gilbert Model
Published online by Cambridge University Press: 02 March 2023
In this chapter, we formally introduce both Erdős–Rényi–Gilbert’s models, study their relationships, and establish conditions for their asymptotic equivalence. We also define and study the basic features of the asymptotic behavior of random graphs, i.e., the existence of thresholds for monotone graph properties.
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