Temporal motifs in time-dependent networks

Details Temporal motifs in time-dependent networks Temporal motifs in time-dependent networks

2011-07-28

arxiv.org/abs/1107.5646v2

J. Stat. Mech. (2011) P11005

Physics

Data Analysis, Statistics and Probability

18 pages, 8 figures; minor revisions

Scientific paper

10.1088/1742-5468/2011/11/P11005

Temporal networks are commonly used to represent systems where connections between elements are active only for restricted periods of time, such as networks of telecommunication, neural signal processing, biochemical reactions and human social interactions. We introduce the framework of temporal motifs to study the mesoscale topological-temporal structure of temporal networks in which the events of nodes do not overlap in time. Temporal motifs are classes of similar event sequences, where the similarity refers not only to topology but also to the temporal order of the events. We provide a mapping from event sequences to colored directed graphs that enables an efficient algorithm for identifying temporal motifs. We discuss some aspects of temporal motifs, including causality and null models, and present basic statistics of temporal motifs in a large mobile call network.

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