Literature DB >> 23005563

Box-covering algorithm for fractal dimension of complex networks.

Christian M Schneider1, Tobias A Kesselring, José S Andrade, Hans J Herrmann.   

Abstract

The self-similarity of complex networks is typically investigated through computational algorithms, the primary task of which is to cover the structure with a minimal number of boxes. Here we introduce a box-covering algorithm that outperforms previous ones in most cases. For the two benchmark cases tested, namely, the E. coli and the World Wide Web (WWW) networks, our results show that the improvement can be rather substantial, reaching up to 15% in the case of the WWW network.

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Year:  2012        PMID: 23005563     DOI: 10.1103/PhysRevE.86.016707

Source DB:  PubMed          Journal:  Phys Rev E Stat Nonlin Soft Matter Phys        ISSN: 1539-3755


  6 in total

Review 1.  A healthy dose of chaos: Using fractal frameworks for engineering higher-fidelity biomedical systems.

Authors:  Anastasia Korolj; Hau-Tieng Wu; Milica Radisic
Journal:  Biomaterials       Date:  2019-07-15       Impact factor: 12.479

2.  Multifractal analysis of weighted networks by a modified sandbox algorithm.

Authors:  Yu-Qin Song; Jin-Long Liu; Zu-Guo Yu; Bao-Gen Li
Journal:  Sci Rep       Date:  2015-12-04       Impact factor: 4.379

3.  Fractal and multifractal analyses of bipartite networks.

Authors:  Jin-Long Liu; Jian Wang; Zu-Guo Yu; Xian-Hua Xie
Journal:  Sci Rep       Date:  2017-03-31       Impact factor: 4.379

4.  The Polynomial Volume Law of Complex Networks in the Context of Local and Global Optimization.

Authors:  Franz-Benjamin Mocnik
Journal:  Sci Rep       Date:  2018-07-27       Impact factor: 4.379

5.  Preserved fractal character of structural brain networks is associated with covert consciousness after severe brain injury.

Authors:  Andrea I Luppi; Michael M Craig; Peter Coppola; Alexander R D Peattie; Paola Finoia; Guy B Williams; Judith Allanson; John D Pickard; David K Menon; Emmanuel A Stamatakis
Journal:  Neuroimage Clin       Date:  2021-04-21       Impact factor: 4.881

6.  Lévy Walk Navigation in Complex Networks: A Distinct Relation between Optimal Transport Exponent and Network Dimension.

Authors:  Tongfeng Weng; Michael Small; Jie Zhang; Pan Hui
Journal:  Sci Rep       Date:  2015-11-25       Impact factor: 4.379

  6 in total

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