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Numerous networked systems feature a structure of nontrivial communities, which often correspond to their functional modules. Such communities have been detected in real-world biological, social and technological systems, as well as in…

物理与社会 · 物理学 2025-07-08 Charo I. del Genio

Networks have in recent years emerged as an invaluable tool for describing and quantifying complex systems in many branches of science. Recent studies suggest that networks often exhibit hierarchical organization, where vertices divide into…

机器学习 · 统计学 2008-11-05 Aaron Clauset , Cristopher Moore , M. E. J. Newman

We present a general and flexible procedure which allows for the reduction (or expansion) of any dynamical network while preserving the spectrum of the network's adjacency matrix. Computationally, this process is simple and easily…

动力系统 · 数学 2010-10-21 L. A. Bunimovich , B. Z. Webb

Our recent paper [Grauwin et al. Sci. Rep. 7 (2017)] demonstrates that community and hierarchical structure of the networks of human interactions largely determines the least and should be taken into account while modeling them. In the…

社会与信息网络 · 计算机科学 2017-12-18 Stanislav Sobolevsky

It is common knowledge that a key dynamical characteristic of a network is its spectrum (the collection of all eigenvalues of the network's weighted adjacency matrix). In \cite{BW10} we demonstrated that it is possible to reduce a network,…

动力系统 · 数学 2015-06-05 Leonid Bunimovich , Benjamin Webb

In this paper, we consider the problem of exploring structural regularities of networks by dividing the nodes of a network into groups such that the members of each group have similar patterns of connections to other groups. Specifically,…

物理与社会 · 物理学 2015-05-30 Hua-Wei Shen , Xue-Qi Cheng , Jia-Feng Guo

Dynamical networks are powerful tools for modeling a broad range of complex systems, including financial markets, brains, and ecosystems. They encode how the basic elements (nodes) of these systems interact altogether (via links) and evolve…

物理与社会 · 物理学 2019-03-13 Edward Laurence , Nicolas Doyon , Louis J Dubé , Patrick Desrosiers

Hidden community is a useful concept proposed recently for social network analysis. To handle the rapid growth of network scale, in this work, we explore the detection of hidden communities from the local perspective, and propose a new…

社会与信息网络 · 计算机科学 2021-12-09 Meng Wang , Boyu Li , Kun He , John E. Hopcroft

Understanding the structural complexity and predictability of complex networks is a central challenge in network science. Although recent studies have revealed a relationship between compression-based entropy and link prediction…

社会与信息网络 · 计算机科学 2025-10-14 Sebastián Brzovic , Cristóbal Rojas , Andrés Abeliuk

Detection of community structures in social networks has attracted lots of attention in the domain of sociology and behavioral sciences. Social networks also exhibit dynamic nature as these networks change continuously with the passage of…

社会与信息网络 · 计算机科学 2014-09-18 Frédéric Gilbert , Paolo Simonetto , Faraz Zaidi , Fabien Jourdan , Romain Bourqui

Network systems consist of subsystems and their interconnections, and provide a powerful framework for analysis, modeling and control of complex systems. However, subsystems may have high-dimensional dynamics, and the amount and nature of…

最优化与控制 · 数学 2020-12-07 Xiaodong Cheng , Jacquelien M. A. Scherpen

Networks are widely used in the biological, physical, and social sciences as a concise mathematical representation of the topology of systems of interacting components. Understanding the structure of these networks is one of the outstanding…

数据分析、统计与概率 · 物理学 2007-06-21 M. E. J. Newman , E. A. Leicht

Many real-world complex networks contain a significant amount of structural redundancy, in which multiple vertices play identical topological roles. Such redundancy arises naturally from the simple growth processes which form and shape many…

物理与社会 · 物理学 2020-08-05 Ben D. MacArthur , Rubén J. Sánchez-García

For many networks of scientific interest we know both the connections of the network and information about the network nodes, such as the age or gender of individuals in a social network, geographic location of nodes in the Internet, or…

社会与信息网络 · 计算机科学 2016-06-17 M. E. J. Newman , Aaron Clauset

Over the past decade network theory has turned out to be a powerful methodology to investigate complex systems of various sorts. Through data analysis, modeling, and simulation quite an unparalleled insight into their structure, function,…

物理与社会 · 物理学 2010-07-16 Kimmo Kaski

The modern age has seen an exponential growth of social network data available on the web. Analysis of these networks reveal important structural information about these networks in particular and about our societies in general. More often…

社会与信息网络 · 计算机科学 2014-10-28 Aneeq Hashmi , Faraz Zaidi , Arnaud Sallaberry , Tariq Mehmood

The rise in complexity of network data in neuroscience, social networks, and protein-protein interaction networks has been accompanied by several efforts to model and understand these data at different scales. A key multiscale network…

统计方法学 · 统计学 2025-03-04 Al-Fahad Al-Qadhi , Keith Levin , Vincent Lyzinski

Social networks have been widely studied over the last century from multiple disciplines to understand societal issues such as inequality in employment rates, managerial performance, and epidemic spread. Today, these and many more issues…

社会与信息网络 · 计算机科学 2023-06-21 Lisette Espín-Noboa , Tiago Peixoto , Fariba Karimi

Modular and hierarchical community structures are pervasive in real-world complex systems. A great deal of effort has gone into trying to detect and study these structures. Important theoretical advances in the detection of modular have…

社会与信息网络 · 计算机科学 2023-06-01 Michael T. Schaub , Jiaze Li , Leto Peel

The study of the sub-structure of complex networks is of major importance to relate topology and functionality. Many efforts have been devoted to the analysis of the modular structure of networks using the quality function known as…

数据分析、统计与概率 · 物理学 2011-07-01 Belkacem Serrour , Alex Arenas , Sergio Gomez
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