Determination of multifractal dimensions of complex networks by means of the sandbox algorithm

DOI10.1063/1.4907557zbMath1345.28018arXiv1408.4244OpenAlexW2102262771WikidataQ50953761 ScholiaQ50953761MaRDI QIDQ2821606

Jin-Long Liu, V. V. Anh, Zu-Guo Yu

Publication date: 21 September 2016

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.4244

Mathematics Subject Classification ID

Applications of graph theory (05C90) Small world graphs, complex networks (graph-theoretic aspects) (05C82) Fractals (28A80) Graph algorithms (graph-theoretic aspects) (05C85)

Related Items (11)

Multifractal analysis and topological properties of a new family of weighted Koch networks ⋮ An information dimension of weighted complex networks ⋮ Synchronizability analysis of three kinds of dynamical weighted fractal networks ⋮ Eigentime identities of flower networks with multiple branches ⋮ The fractal geometry of fitness landscapes at the local optima level ⋮ Multifractal analysis for core-periphery structure of complex networks ⋮ Fractal analysis of recurrence networks constructed from the two-dimensional fractional Brownian motions ⋮ Multifractality and Laplace spectrum of horizontal visibility graphs constructed from fractional Brownian motions ⋮ Analyzing the stock market based on the structure of \textit{kNN} network ⋮ Structure properties of Koch networks based on networks dynamical systems ⋮ From standard alpha-stable Lévy motions to horizontal visibility networks: dependence of multifractal and Laplacian spectrum

Uses Software

• Boost

Cites Work

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• A fractal method to distinguish coding and non-coding sequences in a complete genome based on a number sequence representation
• On the quadratic mapping \(z\rightarrow z^{2}-\mu \) for complex \(\mu \) and \(z\): the fractal structure of its set, and scaling
• Renormalization group analysis of the small-world network model
• Chaos game representation of protein sequences based on the detailed HP model and their multifractal and correlation analyses
• Emergence of Scaling in Random Networks
• Random walks on non-homogenous weighted Koch networks
• DEFINING DIMENSION OF A COMPLEX NETWORK
• Fractal measures and their singularities: The characterization of strange sets
• A statistical mechanics approach for scale-free networks and finite-scale networks
• A box-covering algorithm for fractal scaling in scale-free networks
• Multifractality in time series
• Impact of degree heterogeneity on the behavior of trapping in Koch networks
• Collective dynamics of ‘small-world’ networks
• Multifractal characterisation of length sequences of coding and noncoding segments in a complete genome

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