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The fractal dimension of complex networks: A review
Information Fusion ( IF 14.7 ) Pub Date : 2021-02-17 , DOI: 10.1016/j.inffus.2021.02.001
Tao Wen , Kang Hao Cheong

The fractal property is one of the most important properties in complex networks. It describes the power law relationship between characteristics of the box and the box size. There are numerous research studies focusing on the fractal property in networks through different dimensions. In order to study the problems across various disciplines, fractal dimension and local dimension are proposed to study network and node properties respectively. In this review paper, various network covering algorithms, which form the basis for obtaining fractal dimension are being reviewed. The different dimensions used to describe the fractal property of networks and their applications are then discussed. Through these studies, we emphasize that the fractal property is an important tool for understanding network characteristics. In the last section, we give our conclusion and discuss possible future directions for fractal dimension research.



中文翻译:

复杂网络的分形维数:综述

分形性质是复杂网络中最重要的性质之一。它描述了盒子特性和盒子尺寸之间的幂律关系。有许多研究针对不同维度网络中的分形特性。为了研究各个学科的问题,提出了分形维和局部维分别研究网络和节点性质。在这篇综述文章中,各种网络覆盖算法,这些算法构成了获得分形维数的基础。然后讨论了用于描述网络的分形特性及其应用的不同维度。通过这些研究,我们强调分形特性是理解网络特征的重要工具。在最后一节中

更新日期:2021-03-15
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