A stochastic model for the evolution of the Web
Levene, Mark and Fenner, Trevor and Loizou, George and Wheeldon, Richard (2002) A stochastic model for the evolution of the Web. Computer Networks 39 (3), pp. 277-287. ISSN 1389-1286.
Recently several authors have proposed stochastic models of the growth of the Web graph that give rise to power-law distributions. These models are based on the notion of preferential attachment leading to the "rich get richer" phenomenon. However, these models fail to explain several distributions arising from empirical results, due to the fact that the predicted exponent is not consistent with the data. To address this problem, we extend the evolutionary model of the Web graph by including a non-preferential component, and we view the stochastic process in terms of an urn transfer model. By making this extension, we can now explain a wider variety of empirically discovered power-law distributions provided the exponent is greater than two. These include: the distribution of incoming links, the distribution of outgoing links, the distribution of pages in a Web site and the distribution of visitors to a Web site. A by-product of our results is a formal proof of the convergence of the standard stochastic model (first proposed by Simon).
|Keyword(s) / Subject(s):||Lotka's law, Scale-free distribution|
|School:||Birkbeck Schools and Departments > School of Business, Economics & Informatics > Computer Science and Information Systems|
|Research Centre:||Birkbeck Knowledge Lab|
|Date Deposited:||22 Aug 2005|
|Last Modified:||02 Dec 2016 13:23|
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