Patterns of link reciprocity in directed networks

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dc.creatorGarlaschelli, Diego
dc.creatorLoffredo, Maria I.
dc.date2004-04-21
dc.date2004-12-16
dc.date.accessioned2026-07-07T07:38:38Z
dc.date.available2026-07-07T07:38:38Z
dc.descriptionWe address the problem of link reciprocity, the non-random presence of two mutual links between pairs of vertices. We propose a new measure of reciprocity that allows the ordering of networks according to their actual degree of correlation between mutual links. We find that real networks are always either correlated or anticorrelated, and that networks of the same type (economic, social, cellular, financial, ecological, etc.) display similar values of the reciprocity. The observed patterns are not reproduced by current models. This leads us to introduce a more general framework where mutual links occur with a conditional connection probability. In some of the studied networks we discuss the form of the conditional connection probability and the size dependence of the reciprocity.
dc.descriptionFinal version accepted for publication on Physical Review Letters
dc.identifierhttps://arxiv.org/abs/cond-mat/0404521
dc.identifierhttp://arxiv.org/abs/cond-mat/0404521
dc.identifierPhys. Rev. Lett. 93, 268701 (2004)
dc.identifierdoi:10.1103/PhysRevLett.93.268701
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121163
dc.subjectDisordered Systems and Neural Networks
dc.subjectAdaptation and Self-Organizing Systems
dc.subjectPhysics and Society
dc.titlePatterns of link reciprocity in directed networks
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