Multifractal analysis and topological properties of a new family of weighted Koch networks

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• 作者：Da-Wen Huang^a ; ^b ; Zu-Guo Yu^a ; ^b ; ^c ; ^{yuzuguo@aliyun.com} ; Vo Anh^c
• 关键词：Weighted Koch networks ; Modified sandbox algorithm ; Multifractal analysis ; Topological property
• 刊名：Physica A: Statistical Mechanics and its Applications
• 出版年：2017
• 出版时间：1 March 2017
• 年：2017
• 卷：469
• 期：Complete
• 页码：695-705
• 全文大小：715 K
• 卷排序：469

文摘

A new family of weighted Koch networks are proposed. The multifractal behavior and topological properties are investigated. Their vertex cumulative strength has a power-law distribution. The networks have a high weighted clustering coefficient of 0.41004. We find that weighted koch networks are both fractal and multifractal.