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Title: Cycle statistics in complex networks and Ihara's zeta function
Authors: Grácio, Clara
Coolen, Anthony C.C.
Annibale, Alessia
Editors: Grácio, Clara
Fournier-Prunaret, Daniele
Ueta, Tetsushi
Nishio, Yoshifmumi
Keywords: Ihara function
networks and cyclic structure
Issue Date: 2014
Publisher: Springer, New York
Citation: Grácio, Clara; Coolen, Anthony C. C.; Annibale, Alessia Cycle statistics in complex networks and Ihara's zeta function. Nonlinear maps and their applications, 81–94, Springer Proc. Math. Stat., 57, Springer, New York, 2014
Abstract: 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.
Type: bookPart
Appears in Collections:CIMA - Publicações - Capítulos de Livros

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