Centre including eccentricity algorithm for complex networks
Akhtanov S. Turlykozhayeva D. Ussipov N. Ibraimov M. Zhanabaev Z.
March 2022John Wiley and Sons Inc
Electronics Letters
2022#58Issue 7283 - 285 pp.
In this work, the authors propose a new centre including eccentricity algorithm, to define the fractal dimension of networks. The authors did the fractal analysis of the real Escherichia coli network and a model UV-flower network and confirmed that these networks are fractals. The fractal dimensions ((Formula presented.)) of these networks are calculated and (Formula presented.) = 2.485 for the real E. coli network and (Formula presented.) = 2.1 for the UV-flower network is obtained. Also, the authors defined the fractal dimensions of real social networks and compared their method with Songs, Zhangs and Zhengs methods. Furthermore, the authors’ algorithm can solve situations with single-node boxes at the edges of the network and can cover networks with minimum number of boxes. The authors believe that centre including eccentricity algorithm is competitive among existing algorithms and can be used to evaluate fractal properties of complex networks.
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Department of Physics and Technology, Al-Farabi Kazakh National University, Almaty, Kazakhstan
Research Center ‘KazAlfaTech Ltd., Almaty, Kazakhstan
Department of Physics and Technology
Research Center ‘KazAlfaTech Ltd.
10 лет помогаем публиковать статьи Международный издатель
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