Cycle Statistics in Complex Networks and Ihara’s Zeta Function

Research output: Chapter in Book/Report/Conference proceedingConference paperpeer-review


Network representations are popular tools for characterizing and visualizing patterns of interaction between the microconstituents of large, complex synthetic, social, or biological systems. They reduce the full complexity of such systems to topological properties of their associated graphs, which are more amenable to analysis. In particular, the cyclic structure of complex networks is receiving increasing attention, since the presence of cycles affects strongly the behavior of processes supported by these networks. In this paper, we survey the analysis of cyclic properties of networks, and in particular the use of Ihara’s zeta function for counting cycles in networks.
Original languageEnglish
Title of host publicationNoninear Maps and their Applications
Subtitle of host publicationSelected Contributions from the NOMA 2011 International Workshop
EditorsClara Grácio, Daniele Fournier-Prunaret, Tetsushi Ueta, Yoshifumi Nishio
PublisherSpringer New York LLC
ISBN (Electronic)978-1-4614-9161-3
ISBN (Print)978-1-4614-9160-6
Publication statusPublished - 2014

Publication series

NameSpringer Proceedings in Mathematics and Statistics


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