The process of fluctuations of the giant component of an Erdos-R\'enyi graph
Abstract
We present a detailed study of the evolution of the giant component of the Erdos-R\'enyi graph process as the mean degree increases from 1 to infinity. It leads to the identification of the limiting process of the rescaled fluctuations of its order around its deterministic asymptotic. This process is Gaussian with an explicit covariance.
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