Analytical estimates and proof of the scale-free character of efficiency and improvement in Barabási–Albert trees

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• 作者：B. Hern&#xe1 ; ndez-Bermejo ; J. Marco-Blanco ; M. Romance
• 关键词：Barab&#xe1 ; si– ; Albert networks ; Mean-field theory ; Network efficiency
• 刊名：Physics Letters A
• 出版年：2009
• 出版时间：23 February 2009
• 年：2009
• 卷：373
• 期：8-9
• 页码：838-843
• 全文大小：416 K

文摘

Estimates for the efficiency of a tree are derived, leading to new analytical expressions for Barábasi–Albert trees efficiency. These expressions are used to investigate the dynamic behaviour of such networks. It is proved that the preferential attachment leads to an asymptotic conservation of efficiency as the Barábasi–Albert trees grow.