Scale-Free Networks from Varying Vertex Intrinsic Fitness

G. Caldarelli, A. Capocci, P. De Los Rios, and M. A. Muñoz
Phys. Rev. Lett. 89, 258702 – Published 3 December 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 xi 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).

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  • Received 15 July 2002

DOI:https://doi.org/10.1103/PhysRevLett.89.258702

©2002 American Physical Society

Authors & Affiliations

G. Caldarelli1, A. Capocci2, P. De Los Rios3,4, and M. A. Muñoz5

  • 1INFM UdR ROMA1 Dipartimento Fisica, Università di Roma “La Sapienza,” Piazzale Aldo Moro 2 00185, Roma, Italy
  • 2Département de Physique, Université de Fribourg-Pérolles, CH-1700 Fribourg, Switzerland
  • 3Institut de Physique Théorique, Université de Lausanne, CH-1004 Lausanne, Switzerland
  • 4INFM UdR Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
  • 5Instituto de Física Teórica y Computacional Carlos I, Universidad de Granada, Facultad de Ciencias, 18071-Granada, Spain

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Issue

Vol. 89, Iss. 25 — 16 December 2002

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