Asymptotic normality of the size of the giant component via a random walk

In this paper we give a simple new proof of a result of Pittel and Wormald concerning the asymptotic value and (suitably rescaled) limiting distribution of the number of vertices in the giant component of $G(n,p)$ above the scaling window of the phase transition. Nachmias and Peres used martingale a...

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Bibliographic Details
Main Authors: Bollobas, B, Riordan, O
Format: Journal article
Language:English
Published: 2010