Scale-Free Property for Degrees and Weights in a Preferential Attachment Random Graph Model

István Fazekas and Bettina Porvázsnyik

Journal of Probability and Statistics, 2013, vol. 2013, 1-12

Abstract:

A random graph evolution mechanism is defined. The evolution studied is a combination of the preferential attachment model and the interaction of four vertices. The asymptotic behaviour of the graph is described. It is proved that the graph exhibits a power law degree distribution; in other words, it is scale-free. It turns out that any exponent in can be achieved. The proofs are based on martingale methods.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljps:707960

DOI: 10.1155/2013/707960

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