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Cited by 1,307

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

Structure of Growing Networks with Preferential Linking

Open access
Dorogovtsev, S. N., Mendes, J. F. F., Samukhin, A. N.·2000·Physical Review Letters
DOI 10.1103/physrevlett.85.4633
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Abstract

The model of growing networks with the preferential attachment of new links is generalized to include initial attractiveness of sites. We find the exact form of the stationary distribution of the number of incoming links of sites in the limit of long times, $P(q)$, and the long-time limit of the average connectivity $\overline{q}(s,t)$ of a site $s$ at time $t$ (one site is added per unit of time). At long times, $P(q)\ensuremath{\sim}{q}^{\ensuremath{-}\ensuremath{\gamma}}$ at $q\ensuremath{\rightarrow}\ensuremath{\infty}$ and $\overline{q}(s,t)\ensuremath{\sim}(s/t{)}^{\ensuremath{-}\ensuremath{\beta}}$ at $s/t\ensuremath{\rightarrow}0$, where the exponent $\ensuremath{\gamma}$ varies from $2$ to $\ensuremath{\infty}$ depending on the initial attractiveness of sites. We show that the relation $\ensuremath{\beta}(\ensuremath{\gamma}\ensuremath{-}1)\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}1$ between the exponents is universal.

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Metadata

Authors
Dorogovtsev, S. N., Mendes, J. F. F., & Samukhin, A. N.
Venue
Physical Review Letters
Publisher
American Physical Society (APS)
Published
2000-11-20
Volume
85
Issue
21
Pages
4633-4636
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
DOI
10.1103/physrevlett.85.4633
OpenAlex
W1953975752
Cited by
1,307
References
2
FWCI
22.30
Type
journal article
Language
en
Open access
green

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