ArticleScientific reports2013
Box-covering algorithm for fractal dimension of weighted networks.
Article in Scientific reports, 2013. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 15 papers.
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15 citing papers in PubMed.
- The role of fractal dimension in wireless mesh network performance.Scientific reports · 2025Article
- Liver sinusoid constraints make random search of CD8 T cells for Plasmodium parasites efficient.bioRxiv : the preprint server for biology · 2025Article
- An Extended Correlation Dimension of Complex Networks.Entropy (Basel, Switzerland) · 2021Article
- Preserved fractal character of structural brain networks is associated with covert consciousness after severe brain injury.NeuroImage. Clinical · 2021Article
- Controlling the Multifractal Generating Measures of Complex Networks.Scientific reports · 2020Article
- Mental Fatigue Has Great Impact on the Fractal Dimension of Brain Functional Network.Neural plasticity · 2020Article
- A healthy dose of chaos: Using fractal frameworks for engineering higher-fidelity biomedical systems.Biomaterials · 2019Review
- The Polynomial Volume Law of Complex Networks in the Context of Local and Global Optimization.Scientific reports · 2018Article
- Relationship between Entropy and Dimension of Financial Correlation-Based Network.Entropy (Basel, Switzerland) · 2018Article
- Reliable Multi-Fractal Characterization of Weighted Complex Networks: Algorithms and Implications.Scientific reports · 2017Article
- Fractal and multifractal analyses of bipartite networks.Scientific reports · 2017Article
- Topological Vulnerability Evaluation Model Based on Fractal Dimension of Complex Networks.PloS one · 2016Article
- Multifractal analysis of weighted networks by a modified sandbox algorithm.Scientific reports · 2015Article
- Impact of roles assignation on heterogeneous populations in evolutionary dictator game.Scientific reports · 2014Article
- An improved Physarum polycephalum algorithm for the shortest path problem.TheScientificWorldJournal · 2014Article
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6 authors.
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Abstract
Box-covering algorithm is a widely used method to measure the fractal dimension of complex networks. Existing researches mainly deal with the fractal dimension of unweighted networks. Here, the classical box covering algorithm is modified to deal with the fractal dimension of weighted networks. Box size length is obtained by accumulating the distance between two nodes connected directly and graph-coloring algorithm is based on the node strength. The proposed method is applied to calculate the fractal dimensions of the "Sierpinski" weighted fractal networks, the E.coli network, the Scientific collaboration network, the C.elegans network and the USAir97 network. Our results show that the proposed method is efficient when dealing with the fractal dimension problem of complex networks. We find that the fractal property is influenced by the edge-weight in weighted networks. The possible variation of fractal dimension due to changes in edge-weights of weighted networks is also discussed.
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