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Scale-free networks from varying vertex intrinsic fitness
G Caldarelli1, A Capocci, P De Los Rios
1INFM UdR ROMA1 Dipartimento Fisica, Università di Roma La Sapienza, Piazzale Aldo Moro 2, Italy.
Physical Review Letters
|December 18, 2002
Abstract:
A new mechanism leading to scale-free networks is proposed in this Letter. It is shown that, in many cases of interest, the connectivity power-law behavior is neither related to dynamical properties nor to preferential attachment. Assigning a quenched fitness value x(i) to every vertex, and drawing links among vertices with a probability depending on the fitnesses of the two involved sites, gives rise to what we call a good-get-richer mechanism, in which sites with larger fitness are more likely to become hubs (i.e., to be highly connected).