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Many networks of interest in the sciences, including a variety of social and biological networks, are found to divide naturally into communities or modules. The problem of detecting and characterizing this community structure has attracted…

Data Analysis, Statistics and Probability · Physics 2007-05-23 M. E. J. Newman

Network representations have been effectively employed to analyze complex systems across various areas and applications, leading to the development of network science as a core tool to study systems with multiple components and complex…

Neurons and Cognition · Quantitative Biology 2023-07-25 ItaloIvo Lima Dias Pinto , Javier Omar Garcia , Kanika Bansal

Discovering communities in complex networks helps to understand the behaviour of the network. Some works in this promising research area exist, but communities uncovering in time-dependent and/or multiplex networks has not deeply…

Physics and Society · Physics 2016-04-05 Vincenza Carchiolo , Alessandro Longheu , Michele Malgeri , Giuseppe Mangioni

Discovering communities in complex networks means grouping nodes similar to each other, to uncover latent information about them. There are hundreds of different algorithms to solve the community detection task, each with its own…

Social and Information Networks · Computer Science 2019-07-05 Michele Coscia

The problem of community detection is relevant in many disciplines of science and modularity optimization is the widely accepted method for this purpose. It has recently been shown that this approach presents a resolution limit by which it…

Physics and Society · Physics 2015-05-13 A. D. Medus , C. O. Dorso

Modularity maximization has been a fundamental tool for understanding the community structure of a network, but the underlying optimization problem is nonconvex and NP-hard to solve. State-of-the-art algorithms like the Louvain or Leiden…

Machine Learning · Computer Science 2020-12-07 Po-Wei Wang , J. Zico Kolter

Community detection involves grouping the nodes in the network and is one of the most-studied tasks in network science. Conventional methods usually require the specification of the number of communities $K$ in the network. This number is…

Methodology · Statistics 2025-09-30 Yuhua Zhang , Kori S. Zachrison , Renee Y. Hsia , Jukka-Pekka Onnela

Community detection is one of the most important problems in network analysis. Among many algorithms proposed for this task, methods based on statistical inference are of particular interest: they are mathematically sound and were shown to…

Social and Information Networks · Computer Science 2019-02-25 Liudmila Prokhorenkova , Alexey Tikhonov

When searching for communities in networks, domain experts may have some prior expectations about the size of communities. Yet, community detection methods normally do not optimize communities under cluster size constraints.…

Physics and Society · Physics 2026-05-26 Filipi N. Silva , Samin Aref , Vincent Traag , Santo Fortunato

Detecting community structure is fundamental to clarify the link between structure and function in complex networks and is used for practical applications in many disciplines. A successful method relies on the optimization of a quantity…

Physics and Society · Physics 2007-05-23 Santo Fortunato , Marc Barthelemy

Most community detection algorithms from the literature work as optimization tools that minimize a given \textit{fitness function}, while assuming that each node belongs to a single community. Since there is no hard concept of what a…

Neural and Evolutionary Computing · Computer Science 2014-06-11 Fabricio Olivetti de Franca , Guilherme Palermo Coelho

Community structure is an important property of complex networks. An automatic discovery of such structure is a fundamental task in many disciplines, including sociology, biology, engineering, and computer science. Recently, several…

Physics and Society · Physics 2008-04-11 Jianhua Ruan , Weixiong Zhang

How to determine the community structure of complex networks is an open question. It is critical to establish the best strategies for community detection in networks of unknown structure. Here, using standard synthetic benchmarks, we show…

Social and Information Networks · Computer Science 2013-01-15 Rodrigo Aldecoa , Ignacio Marín

Community detection is a fundamental network-analysis primitive with a variety of applications in diverse domains. Although the modularity introduced by Newman and Girvan (2004) has widely been used as a quality function for community…

Social and Information Networks · Computer Science 2023-05-02 Issey Sukeda , Atsushi Miyauchi , Akiko Takeda

We reformulate the problem of modularity maximization over the set of partitions of a network as a conic optimization problem over the completely positive cone, converting it from a combinatorial optimization problem to a convex continuous…

Data Analysis, Statistics and Probability · Physics 2008-12-18 Roland Hildebrand

We present a fast spectral algorithm for community detection in complex networks. Our method searches for the partition with the maximum value of the modularity via the interplay of several refinement steps that include both agglomeration…

Physics and Society · Physics 2015-06-23 Santiago Treviño , Amy Nyberg , Charo I. Del Genio , Kevin E. Bassler

We focus on the detection of communities in multi-scale networks, namely networks made of different levels of organization and in which modules exist at different scales. It is first shown that methods based on modularity are not…

Physics and Society · Physics 2010-09-14 Renaud Lambiotte

Community detection is a commonly used technique for identifying groups in a network based on similarities in connectivity patterns. To facilitate community detection in large networks, we recast the network to be partitioned into a smaller…

Social and Information Networks · Computer Science 2017-06-14 Natalie Stanley , Roland Kwitt , Marc Niethammer , Peter J. Mucha

Networks are a widely-used tool to investigate the large-scale connectivity structure in complex systems and graphons have been proposed as an infinite size limit of dense networks. The detection of communities or other meso-scale…

Computation · Statistics 2021-01-05 Florian Klimm , Nick S. Jones , Michael T. Schaub

Most existing approaches for community detection require complete information of the graph in a specific scale, which is impractical for many social networks. We propose a novel algorithm that does not embrace the universal approach but…

Physics and Society · Physics 2015-03-30 Hui-Jia Li , Junhua Zhang , Zhi-Ping Liu , Luonan Chen , Xiang-Sun Zhang