Unveiling the multi-fractal structure of complex networks

Sarika Jalan, Alok Yadav, Camellia Sarkar and Stefano Boccaletti

Chaos, Solitons & Fractals, 2017, vol. 97, issue C, 11-14

Abstract: The fractal nature of graphs has traditionally been investigated by using the network’s nodes as the basic units. Here, instead, we propose to concentrate on the graph’s edges, and introduce a practical and computationally not demanding method for revealing changes in the fractal behavior of networks, and particularly for allowing distinction between mono-fractal, quasi mono-fractal, and multi-fractal structures. We show that degree homogeneity plays a crucial role in determining the fractal nature of the underlying network, and report on six different protein-protein interaction networks along with their corresponding random networks. Our analysis allows to identify varying levels of complexity in the species.

Keywords: Fractal dimension; Complex networks (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:97:y:2017:i:c:p:11-14

DOI: 10.1016/j.chaos.2017.01.021

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