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DEGREE SEQUENCES OF GEOMETRIC PREFERENTIAL ATTACHMENT GRAPHS
Advances in Applied Probability
Vol. 42, No. 2 (JUNE 2010), pp. 319-330
Published by: Applied Probability Trust
Stable URL: http://www.jstor.org/stable/25683821
Page Count: 12
You can always find the topics here!Topics: Vertices, Mathematical sequences, Power laws, Modeling, Eskers, Conditional probabilities, Simulations, Mathematical functions, Mathematics, Perceptron convergence procedure
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We investigate the degree sequence of the geometric preferential attachment model of Flaxman, Frieze and Vera (2006), (2007) in the case where the self-loop parameter α is set to 0. We show that, given certain conditions on the attractiveness function F, the degree sequence converges to the same sequence as found for standard preferential attachment in Bollobás et al. (2001). We also apply our method to the extended model introduced in van der Esker (2008) which allows for an initial attractiveness term, proving similar results.
Advances in Applied Probability © 2010 Applied Probability Trust