Volume 78, Number 4, May 2007
Article Number 48005
Number of page(s) 6
Section Interdisciplinary Physics and Related Areas of Science and Technology
Published online 08 May 2007
EPL, 78 (2007) 48005
DOI: 10.1209/0295-5075/78/48005

A quantitative measure for path structures of complex networks

H. F. Hansen, C. A. Andresen and A. Hansen

Department of Physics, Norwegian University of Science and Technology - N-7491 Trondheim, Norway

received 15 Feburary 2007; accepted in final form 10 April 2007; published May 2007
published online 8 May 2007

In this paper we present a generalised version of the classical cluster coefficient, which also can be applied to networks with directed links. This generalisation takes into account more than the immediate nearest neighbours, giving more detailed information about the network structure than the classical version. The introduced concept is compared to earlier generalisation attempts, and it is applied to a directed version of the protein interaction network of the yeast cell S. cerevisiae and networks generated by the growing preferential attachment model of Barabási and Albert. Finally, we give some ideas on how our concept is related to modularity and community structures.

89.75.Hc - Networks and genealogical trees.
89.75.Fb - Structures and organization in complex systems.
05.90.+m - Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems.

© Europhysics Letters Association 2007