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Cited by 1,197

The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.

Connectivity of Growing Random Networks

Open access
Krapivsky, P. L., Redner, S., Leyvraz, F.·2000·Physical Review Letters
DOI 10.1103/physrevlett.85.4629
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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

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Metadata

Authors
Krapivsky, P. L., Redner, S., & Leyvraz, F.
Venue
Physical Review Letters
Publisher
American Physical Society (APS)
Published
2000-11-20
Volume
85
Issue
21
Pages
4629-4632
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
DOI
10.1103/physrevlett.85.4629
OpenAlex
W2032516423
Cited by
1,197
References
2
FWCI
25.51
Type
journal article
Language
en
Open access
green

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