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Título del libro: The Structure And Dynamics Of Networks
Título del capítulo: Connectivity of growing random networks

Autores UNAM:
FRANCOIS ALAIN LEYVRAZ WALTZ;
Autores externos:

Idioma:
Inglés
Año de publicación:
2011
Resumen:

A solution for the time- and age-dependent connectivity distribution of a growing random network is presented. The network is built by adding sites that link to earlier sites with a probability Ak which depends on the number of preexisting links k to that site. For homogeneous connection kernels, Ak ~ k?, different behaviors arise for ? < 1, ? > 1, and ? = 1. For ? < 1, the number of sites with k links, Nit, varies as a stretched exponential. For ? > 1, a single site connects to nearly all other sites. In the borderline case Ak ~ k, the power law Ak ~ k-v is found, where the exponent v can be tuned to any value in the range 2 < v < ?. © 2000 The American Physical Society.


Entidades citadas de la UNAM: