- Internet Math.
- Volume 1, Number 2 (2003), 193-213.
Infinite Limits of Copying Models of the Web Graph
Several stochastic models were proposed recently to model the dynamic evolution of the web graph. We study the infinite limits of the stochastic processes proposed to model the web graph when time goes to infinity. We prove that deterministic variations of the so-called copying model can lead to several nonisomorphic limits. Some models converge to the infinite random graph R, while the convergence of other models is sensitive to initial conditions or minor changes in the rules of the model. We explain how limits of the copying model of the web graph share several properties with R that seem to reflect known properties of the web graph.
Internet Math., Volume 1, Number 2 (2003), 193-213.
First available in Project Euclid: 7 July 2004
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Bonato, Anthony; Janssen, Jeanette. Infinite Limits of Copying Models of the Web Graph. Internet Math. 1 (2003), no. 2, 193--213. https://projecteuclid.org/euclid.im/1089229508