Reciprocity of networks with degree correlations and arbitrary degree sequences

Gorka Zamora-López, Vinko Zlatić*, Changsong ZHOU, Hrvoje Štefančić, Jürgen Kurths

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

39 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
JournalPhysical Review E
Issue number1
Publication statusPublished - 16 Jan 2008

Scopus Subject Areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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