Regensburg 2013 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 24: Networks, From Topology to Dynamics (joint session BP/DY/SOE)
DY 24.3: Talk
Wednesday, March 13, 2013, 16:15–16:30, H37
Clustering coefficient of temporal networks — •Vitaly Belik1,2, Igor M Sokolov3, and Hartmut Lentz3,4 — 1Max Planck Institute for Dynamics and Self-Organization, Göttingen — 2Massachusetts Institute of Technology, Cambridge, USA — 3Humboldt-University of Berlin — 4Friedrich-Loeffler-Institute, Wusterhausen
The science of complex networks has experienced a tremendous development in recent years. Most of the research was devoted to static networks where interactions between nodes are aggregated over time. However with increasing availability of empirical data of high temporal resolution, the dynamics of networks becomes the focus of research. In the present study we generalize the concept of clustering coefficient to temporal networks allowing for arbitrary durations of triangles fulfilling the requirement of causality. In contrast to many algorithmic approaches, we build up on the current advances in the mesoscopic description of temporal networks [1]. We apply our approach to various empirical datasets, in particular a conference contact network and a mobile phone dataset, as well as to their randomized counterparts.
[1] Unfolding accessibility provides a macroscopic approach to temporal networks, H Lentz, T Selhorst, I M Sokolov, arXiv:1210.2283