Local structure of directed networks

Ginestra Bianconi*, Natali Gulbahce, Adilson E. Motter

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

62 Scopus citations


Previous work on undirected small-world networks established the paradigm that locally structured networks tend to have a high density of short loops. On the other hand, many realistic networks are directed. Here we investigate the local organization of directed networks and find, surprisingly, that real networks often have very few short loops as compared to random models. We develop a theory and derive conditions for determining if a given network has more or less loops than its randomized counterparts. These findings carry broad implications for structural and dynamical processes sustained by directed networks.

Original languageEnglish (US)
Article number118701
JournalPhysical review letters
Issue number11
StatePublished - Mar 20 2008

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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