ON THE CORRELATION BETWEEN FRACTAL DIMENSION AND ROBUSTNESS OF COMPLEX NETWORKS

In recent years, because complex networks can be used to model real-world complex systems, such as the Internet, urban infrastructure networks, and gene interaction networks, such research has been...

[1]  Robert S. Strichartz,et al.  SPECTRUM OF THE LAPLACIAN ON THE VICSEK SET “WITH NO LOOSE ENDS” , 2016, 1611.02251.

[2]  Hernán A. Makse,et al.  A review of fractality and self-similarity in complex networks , 2007 .

[3]  Wen Jiang,et al.  Evaluating Topological Vulnerability Based on Fuzzy Fractal Dimension , 2018, Int. J. Fuzzy Syst..

[4]  Min Ouyang,et al.  Vulnerability analysis of interdependent infrastructure systems under edge attack strategies , 2013 .

[5]  Wen Yuan,et al.  Littlewood–Paley and Finite Atomic Characterizations of Anisotropic Variable Hardy–Lorentz Spaces and Their Applications , 2019 .

[6]  S. Zhou,et al.  On a class of fractals: the constructive structure , 2004 .

[7]  Kui Yao,et al.  DIMENSION ANALYSIS OF CONTINUOUS FUNCTIONS WITH UNBOUNDED VARIATION , 2017 .

[8]  Alfred L. Brophy,et al.  An algorithm and program for calculation of Kendall’s rank correlation coefficient , 1986 .

[9]  Jian-Wei Wang,et al.  VULNERABILITY OF EFFECTIVE ATTACK ON EDGES IN SCALE-FREE NETWORKS DUE TO CASCADING FAILURES , 2009 .

[10]  Beom Jun Kim,et al.  Attack vulnerability of complex networks. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  Yong Deng,et al.  SELF-SIMILARITY IN COMPLEX NETWORKS: FROM THE VIEW OF THE HUB REPULSION , 2013 .

[12]  Jian-Wei Wang,et al.  Robustness of complex networks with the local protection strategy against cascading failures , 2013 .

[13]  Zu-Guo Yu,et al.  Determination of multifractal dimensions of complex networks by means of the sandbox algorithm. , 2014, Chaos.

[14]  Zu-Guo Yu,et al.  Fractal and multifractal properties of a family of fractal networks , 2014, 1402.4020.

[15]  K. Yao,et al.  THE HADAMARD FRACTIONAL CALCULUS OF A FRACTAL FUNCTION , 2018, Fractals.

[16]  Igor Mishkovski,et al.  Vulnerability of complex networks , 2011 .

[17]  S. Havlin,et al.  How to calculate the fractal dimension of a complex network: the box covering algorithm , 2007, cond-mat/0701216.

[18]  Denali Molitor,et al.  USING PEANO CURVES TO CONSTRUCT LAPLACIANS ON FRACTALS , 2014, 1402.2106.

[19]  Shlomo Havlin,et al.  Origins of fractality in the growth of complex networks , 2005, cond-mat/0507216.

[20]  Alessandro Barducci,et al.  NODE DEGREE DISTRIBUTION IN COMPLEX MICROVASCULAR NETWORKS: A POTENTIAL NEW DIAGNOSTIC TOOL FOR EXTRACELLULAR MATRIX-RELATED DISEASES , 2006 .

[21]  S. Havlin,et al.  Self-similarity of complex networks , 2005, Nature.

[22]  K. Yao,et al.  The fractal dimensions of graphs of the Weyl-Marchaud fractional derivative of the Weierstrass-type function , 2008 .

[23]  V. Latora,et al.  Multiscale vulnerability of complex networks. , 2007, Chaos.

[24]  Yuliang Su,et al.  ANALYSIS OF THE COMPLEX FRACTURE FLOW IN MULTIPLE FRACTURED HORIZONTAL WELLS WITH THE FRACTAL TREE-LIKE NETWORK MODELS , 2015 .

[25]  Yong Deng,et al.  Topological Vulnerability Evaluation Model Based on Fractal Dimension of Complex Networks , 2016, PloS one.

[26]  S. Havlin,et al.  Scaling theory of transport in complex biological networks , 2007, Proceedings of the National Academy of Sciences.