https://doi.org/10.1140/epjb/e2004-00020-6
Structure of cycles and local ordering in complex networks
1
INFM UdR Roma 1, Dipartimento di Fisica, Università “La Sapienza",
P.le A. Moro 2, 00185 Roma, Italy
2
Departament de Física i Enginyeria Nuclear,
Universitat Politècnica de Catalunya, Campus Nord, 08034 Barcelona, Spain
3
Laboratoire de Physique Théorique (UMR du CNRS 8627), Bâtiment 210, Université
de Paris-Sud, 91405 Orsay Cedex, France
Corresponding author: a romualdo.pastor@upc.es
Received:
6
November
2003
Published online:
17
February
2004
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.
PACS: 89.75.-k – Complex systems / 89.75.Fb – Structures and organization in complex systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2004
