Degree distribution, rank-size distribution, and leadership persistence in mediation-driven attachment networks

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• 作者：Md. Kamrul Hassan^a ; ^{khassan@du.ac.bd} ; Liana Islam^a ; Syed Arefinul Haque^b ; ^c
• 关键词：Leadership persistence probability ; Rank-size distribution ; Degree distribution ; Scale-free ; Power-law ; Mediation-driven attachment networks ; Winner takes it all
• 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：23-30
• 全文大小：928 K
• 卷排序：469

文摘

We have investigated a mediation-driven attachment model for scale-free networks. The model exhibits winners take it all   mechanism when the new nodes come with a small number of edges (mm). The degree distribution exhibits power-law with a spectrum of exponents 1.7≤γ≤31.7≤γ≤3 depending on mm. We have shown that the rank-size distribution decays following a power-law. Finally, we show that the leadership persistence probability F(τ)F(τ), the probability that the node with the maximum degree retains its leadership up to time ττ, decays following a power-law.