eprintid: 1127 rev_number: 6 eprint_status: archive userid: 6 dir: disk0/00/00/11/27 datestamp: 2012-02-15 16:02:44 lastmod: 2012-02-15 16:02:44 status_changed: 2012-02-15 16:02:44 type: article metadata_visibility: show creators_name: Caldarelli, Guido creators_name: Pastor-Satorras, Romualdo creators_name: Vespignani, Alessandro creators_id: guido.caldarelli@imtlucca.it creators_id: creators_id: title: Structure of cycles and local ordering in complex networks ispublished: pub subjects: QA75 subjects: QC divisions: EIC full_text_status: none keywords: PACS: 89.75.-k Complex systems - 89.75.Fb Structures and organization in complex systems abstract: We study the properties of quantities aimed at the characterization of grid-like ordering in complex networks. These quantities are based on the global and local behavior of cycles of order four, which are the minimal structures able to identify rectangular clustering. The analysis of data from real networks reveals the ubiquitous presence of a statistically high level of grid-like ordering that is non-trivially correlated with the local degree properties. These observations provide new insights on the hierarchical structure of complex networks. date: 2004-02 date_type: published publication: The European Physical Journal B - Condensed Matter volume: 38 number: 2 publisher: Springer-Verlag pagerange: 183-186 id_number: 10.1140/epjb/e2004-00020-6 refereed: TRUE issn: 1434-6028 official_url: http://dx.doi.org/10.1140/epjb/e2004-00020-6 citation: Caldarelli, Guido and Pastor-Satorras, Romualdo and Vespignani, Alessandro Structure of cycles and local ordering in complex networks. The European Physical Journal B - Condensed Matter, 38 (2). pp. 183-186. ISSN 1434-6028 (2004)