books.google.co.in - This is a new edition of the now classic text. The already extensive treatment given in the first edition has been heavily revised by the author. The addition of two new sections, numerous new results and 150 references means that this represents an up-to-date and comprehensive account of random graph...http://books.google.co.in/books/about/Random_Graphs.html?id=o9WecWgilzYC&utm_source=gb-gplus-shareRandom Graphs
Here is an interesting article concerning the growth of a giant component : http://expertvoices.nsdl.org/cornell-info204/2008/03/06/the-formation-of-a-giant-component/