Extremum Statistics in Scale-Free Network Models

André Auto Moreira*, José S. Andrade, Luís A. Nunes Amaral

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

30 Scopus citations

Abstract

We investigate the statistics of the most connected node in scale-free networks. For a scale-free network model with homogeneous nodes, we show by means of extensive simulations that the exponential truncation, due to the finite size of the network, of the degree distribution governs the scaling of the extreme values and that the distribution of maxima follows the Gumbel statistics. For a scale-free network model with heterogeneous nodes, we show that scaling no longer holds and that the truncation of the degree distribution no longer controls the maxima distribution.

Original languageEnglish (US)
JournalPhysical review letters
Volume89
Issue number26
DOIs
StatePublished - 2002

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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