PMID: 15244781Jul 13, 2004Paper

Scale-free networks with tunable degree-distribution exponents

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
H Y LeeP M Hui

Abstract

We propose and study a model of scale-free growing networks that gives a degree distribution dominated by a power-law behavior with a model-dependent, hence tunable, exponent. The model represents a hybrid of the growing networks based on popularity-driven and fitness-driven preferential attachments. As the network grows, a newly added node establishes m new links to existing nodes with a probability p based on popularity of the existing nodes and a probability 1-p based on fitness of the existing nodes. An explicit form of the degree distribution P(p,k) is derived within a mean field approach. For reasonably large k, P(p,k) approximately k(-gamma(p)) F(k,p), where the function F is dominated by the behavior of 1/ln (k/m) for small values of p and becomes k independent as p-->1, and gamma(p) is a model-dependent exponent. The degree distribution and the exponent gamma(p) are found to be in good agreement with results obtained by extensive numerical simulations.

References

Jun 12, 1998·Nature·D J Watts, S H Strogatz
Oct 16, 1999·Science·A L Barabasi, R Albert
Oct 18, 2000·Nature·H JeongA L Barabási
Nov 18, 2000·Physical Review Letters·P L KrapivskyF Leyvraz
Nov 18, 2000·Physical Review Letters·S N DorogovtsevA N Samukhin
Dec 2, 2000·Physical Review Letters·R Albert, A L Barabasi
Jan 10, 2001·Proceedings of the National Academy of Sciences of the United States of America·M E Newman
Jun 1, 2001·Physical Review Letters·P L KrapivskyS Redner
Jun 22, 2001·Nature·F LiljerosY Aberg
May 4, 2002·Science·Sergei Maslov, Kim Sneppen

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Citations

Sep 27, 2018·Physical Review. E·Avinash Chand Yadav

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