Modularity and Dynamics on Complex Networks

Modularity and Dynamics on Complex Networks
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复杂网络的模块化和动态性

DOI:
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发表时间:
2021
期刊:
影响因子:
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通讯作者:
Michael T. Schaub
Michael T. Schaub
中科院分区:
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文献类型:
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作者:
R. Lambiotte;Michael T. Schaub

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复杂网络通常不是同质的,因为它们倾向于在不同尺度上显示一系列结构。一个吸引了大量研究的特征是它们的模块化组织,即,网络通常可以被认为是由某些构建块或模块组成的。在本单元中,作者讨论了模块化概念的多种方式,特别关注模块化网络结构与网络上发生的动态之间的相互作用。他们讨论,特别是模块化结构和对称性如何可能影响网络动态,反之亦然,如何观察这种动态可以用来推断模块化结构。他们还重新审视了其他几个模块化的概念,已经提出了复杂的网络,并显示这些可以相关的,并从网络上的动态过程的角度来解释。
Complex networks are typically not homogeneous, as they tend to display an array of structures at different scales. A feature that has attracted a lot of research is their modular organisation, i.e., networks may often be considered as being composed of certain building blocks, or modules. In this Element, the authors discuss a number of ways in which this idea of modularity can be conceptualised, focusing specifically on the interplay between modular network structure and dynamics taking place on a network. They discuss, in particular, how modular structure and symmetries may impact on network dynamics and, vice versa, how observations of such dynamics may be used to infer the modular structure. They also revisit several other notions of modularity that have been proposed for complex networks and show how these can be related to and interpreted from the point of view of dynamical processes on networks.