Abstract
Our aim in this project is to study how basic results about the survival probability of branching processes can be applied to obtain result about the emergenceof the giant component in the Erdös-Rényi random graph G(n,p), taking as a basis a recent work by Bollobás and Riordan (2012). The G(n,p) model is the random graph with n vertices, in which each edge is present independently with pr…