自相似平面分形生成的复杂网络

Fractals Pub Date : 2024-03-26 DOI:10.1142/s0218348x24500646

QIN WANG, WENJIA MA, KEQIN CUI, QINGCHENG ZENG, LIFENG XI

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引用次数: 0

摘要

许多复杂网络都具有无标度和小世界效应。本文利用分形几何中的编码方法，构建了一个以非对称自相似平面分形为模型的演化网络族。基于自相似结构，我们研究了演化网络的度分布、聚类系数和平均路径长度，以验证它们的无标度和小世界特性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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COMPLEX NETWORKS GENERATED BY A SELF-SIMILAR PLANAR FRACTAL

Many complex networks have scale-free and small-world effects. In this paper, a family of evolving networks is constructed modeled by a non-symmetric self-similar planar fractal, using the encoding method in fractal geometry. Based on the self-similar structure, we study the degree distribution, clustering coefficient and average path length of our evolving network to verify their scale-free and small-world characteristics.

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Fractals

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