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THREE PROPERTIES OF FRACTAL NETWORKS BASED ON BEDFORD–MCMULLEN CARPET
Fractals ( IF 4.7 ) Pub Date : 2024-02-27 , DOI: 10.1142/s0218348x24500324
JIAN ZHENG 1 , CHENG ZENG 2 , YUMEI XUE 1 , XIAOHAN LI 1
Affiliation  

In this paper, we consider the networks modeled by several self-affine sets based on the Bedford–Mcmullen carpet. We calculate three properties of the networks, including the cumulative degree distribution, the average clustering coefficient and the average path length. We show that such networks have scale-free and small-world effects.



中文翻译:

基于BEDFORD-MCMULLEN CARPET的分形网络的三个性质

在本文中,我们考虑基于贝德福德-麦克马伦地毯的几个自仿射集建模的网络。我们计算网络的三个属性,包括累积度分布、平均聚类系数和平均路径长度。我们证明这种网络具有无标度和小世界效应。

更新日期:2024-02-27
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