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Preprint . 2001
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Dynamics of rumor propagation on small-world networks

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 28 Mar 2002Embargo end date: 01 Jan 2001 English Publisher:American Physical Society (APS)Journal:Physical Review E, volume 65 (issn: 1063-651X, eissn: 1095-3787, Copyright policy )
Authors: Zanette, Damian H.;

doi: 10.1103/physreve.65.041908 , 10.48550/arxiv.cond-mat/0110324

pmid: 12005874

arXiv: cond-mat/0110324

Dynamics of rumor propagation on small-world networks

Abstract

We study the dynamics of an epidemic-like model for the spread of a rumor on a small-world network. It has been shown that this model exhibits a transition between regimes of localization and propagation at a finite value of the network randomness. Here, by numerical means, we perform a quantitative characterization of the evolution in the two regimes. The variant of dynamic small worlds, where the quenched disorder of small-world networks is replaced by randomly changing connections between individuals, is also analyzed in detail and compared with a mean-field approximation.

9 pages, 9 figures, submitted to PRE

Related Organizations
Keywords

Statistical Mechanics (cond-mat.stat-mech), FOS: Physical sciences, Adaptation and Self-Organizing Systems (nlin.AO), Condensed Matter - Statistical Mechanics, Nonlinear Sciences - Adaptation and Self-Organizing Systems

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 447
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 0.1%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 0.1%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
447
Top 0.1%
Top 0.1%
Top 10%
Green