Format

Send to

Choose Destination
Phys Rev Lett. 2000 Nov 20;85(21):4629-32.

Connectivity of growing random networks.

Author information

1
Center for BioDynamics, Center for Polymer Studies, and Department of Physics, Boston University, Boston, Massachusetts 02215, USA.

Abstract

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 A(k) which depends on the number of preexisting links k to that site. For homogeneous connection kernels, A(k) approximately k(gamma), different behaviors arise for gamma<1, gamma>1, and gamma = 1. For gamma<1, the number of sites with k links, N(k), varies as a stretched exponential. For gamma>1, a single site connects to nearly all other sites. In the borderline case A(k) approximately k, the power law N(k) approximately k(-nu) is found, where the exponent nu can be tuned to any value in the range 2<nu<infinity.

PMID:
11082613
DOI:
10.1103/PhysRevLett.85.4629
[Indexed for MEDLINE]

Supplemental Content

Full text links

Icon for American Physical Society
Loading ...
Support Center