Reciprocity of networks with degree correlations and arbitrary degree sequences

Gorka Zamora-Lopez, Vinko Zlatic, Changsong Zhou, Hrvoje Stefancic, Juergen Kurths

Research output: Contribution to journalArticlepeer-review

37 Citations (Scopus)


Although most of the real networks contain a mixture of directed and bidirectional (reciprocal) connections, the reciprocity r has received little attention as a subject of theoretical understanding. We study the expected reciprocity of networks with arbitrary input and output degree sequences and given 2-node degree correlations by means of statistical ensemble approach. We demonstrate that degree correlations are crucial to understand the reciprocity in real networks and a hierarchy of correlation contributions to r is revealed. Numerical experiments using network randomization methods show very good agreement to our analytical estimations.

Original languageEnglish
Article number016106
Number of pages8
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Issue number1
Publication statusPublished - 16 Jan 2008


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