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arXiv 1106.5301physics.soc-phcs.SI
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通过操纵rich-club连接优化和控制复杂网络的功能

Optimizing and controlling functions of complex networks by manipulating rich-club connections

Xiao-ke xu, Jie Zhang, Ping Li, Michael Small

摘要:

传统上,没有证据表明富人俱乐部的性质和复杂网络的功能之间有很强的联系。在这项研究中,我们发现,是否一个非常小的部分丰富的节点连接到彼此或不可以强烈影响网络内的基本构件(基序)的出现频率,因此,功能,异构网络。相反,一个同质网络是否具有富俱乐部性质,一般对其结构和功能没有显著影响。这些发现开启了通过操纵富人俱乐部连接来优化和控制复杂网络功能的可能性。此外,基于子图比率轮廓,我们开发了一个更严格的方法来判断网络是否有丰富的俱乐部。新方法不计算富节点之间有多少链接,而是取决于富节点之间的链接如何影响给定网络的整体结构和功能。这些结果也可以帮助我们理解动态网络的演化,并设计新的模型来表征现实世界的网络。

英文摘要:

Traditionally, there is no evidence suggesting that there are strong ties between the rich-club property and the function of complex networks. In this study, we find that whether a very small portion of rich nodes connected to each other or not can strongly affect the frequency of occurrence of basic building blocks (motif) within networks, and therefore the function, of a heterogeneous network. Conversely whether a homogeneous network has a rich-club property or not generally has no significant effect on its structure and function. These findings open the possibility to optimize and control the function of complex networks by manipulating rich-club connections. Furthermore, based on the subgraph ratio profile, we develop a more rigorous approach to judge whether a network has a rich-club or not. The new method does not calculate how many links there are among rich nodes but depends on how the links among rich nodes can affect the overall structure as well as function of a given network. These results can also help us to understand the evolution of dynamical networks and design new models for characterizing real-world networks.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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