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Community detection is the process of grouping strongly connected nodes in a network. Many community detection methods for un-weighted networks have a theoretical basis in a null model. Communities discovered by these methods therefore have…

Social and Information Networks · Computer Science 2017-10-24 John Palowitch , Shankar Bhamidi , Andrew B. Nobel

Community structure analysis is a powerful tool for complex networks, which can simplify their functional analysis considerably. Recently, many approaches were proposed to community structure detection, but few works were focused on the…

Physics and Society · Physics 2010-02-11 Yanqing Hu , Yiming Ding , Ying Fan , Zengru Di

Community structure represents the local organization of complex networks and the single most important feature to extract functional relationships between nodes. In the last years, the problem of community detection has been reformulated…

Physics and Society · Physics 2009-11-13 Santo Fortunato

Understanding community structures is crucial for analyzing networks, as nodes join communities that collectively shape large-scale networks. In real-world settings, the formation of communities is often impacted by several social factors,…

Social and Information Networks · Computer Science 2025-04-16 Elze de Vink , Frank W. Takes , Akrati Saxena

Community detection is one of the most important and challenging problems in network analysis. However, real-world networks may have very different structural properties and communities of various nature. As a result, it is hard (or even…

Social and Information Networks · Computer Science 2019-06-25 Liudmila Prokhorenkova

Modularity Q is an important function for identifying community structure in complex networks. In this paper, we prove that the modularity maximization problem is equivalent to a nonconvex quadratic programming problem. This result provide…

Physics and Society · Physics 2009-11-13 Yanqing Hu , Jinshan Wu , Zengru Di

A challenging problem in the study of complex systems is that of resolving, without prior information, the emergent, mesoscopic organization determined by groups of units whose dynamical activity is more strongly correlated internally than…

Data Analysis, Statistics and Probability · Physics 2015-04-21 Mel MacMahon , Diego Garlaschelli

Massive network datasets are becoming increasingly common in scientific applications. Existing community detection methods encounter significant computational challenges for such massive networks due to two reasons. First, the full network…

Methodology · Statistics 2025-03-24 Subhankar Bhadra , Marianna Pensky , Srijan Sengupta

We consider a community finding problem called Co-located Community Detection (CCD) over geo-social networks, which retrieves communities that satisfy both high structural tightness and spatial closeness constraints. To provide a solution…

Databases · Computer Science 2019-09-04 Xiuwen Zheng , Qiyu Liu , Amarnath Gupta

Recent research has shown that virtually all algorithms aimed at the identification of communities in networks are affected by the same main limitation: the impossibility to detect communities, even when these are well-defined, if the…

Physics and Society · Physics 2014-05-07 Filippo Radicchi

Community detection methods can be used to explore the structure of complex systems. The well-known modular configurations in complex financial systems indicate the existence of community structures. Here we analyze the community properties…

Portfolio Management · Quantitative Finance 2021-12-28 Longfeng Zhao , Chao Wang , Gang-Jin Wang , H. Eugene Stanley , Lin Chen

Communities of vertices within a giant network such as the World-Wide Web are likely to be vastly smaller than the network itself. However, Fortunato and Barth\'{e}lemy have proved that modularity maximization algorithms for community…

Physics and Society · Physics 2013-05-29 Jonathan W. Berry , Bruce Hendrickson , Randall A. LaViolette , Cynthia A. Phillips

In this paper, we consider networks consisting of a finite number of non-overlapping communities. To extract these communities, the interaction between pairs of nodes may be sampled from a large available data set, which allows a given node…

Social and Information Networks · Computer Science 2014-02-20 Se-Young Yun , Alexandre Proutiere

With the recent explosion of publicly available biological data, the analysis of networks has gained significant interest. In particular, recent promising results in Neuroscience show that the way neurons and areas of the brain are…

Social and Information Networks · Computer Science 2015-11-17 Umberto Esposito , Eleni Vasilaki

The problem of community detection in networks is usually formulated as finding a single partition of the network into some "correct" number of communities. We argue that it is more interpretable and in some regimes more accurate to…

Community detection in multi-layer networks is a fundamental task in complex network analysis across various areas like social, biological, and computer sciences. However, most existing algorithms assume that the number of communities is…

Methodology · Statistics 2026-02-26 Huan Qing

Modular structure is ubiquitous in real-world complex networks, and its detection is important because it gives insights in the structure-functionality Modular structure is ubiquitous in real-world complex networks, and its detection is…

Data Analysis, Statistics and Probability · Physics 2008-05-29 Alex Arenas , Alberto Fernandez , Sergio Gomez

Identifying communities in networks is a fundamental and challenging problem of practical importance in many fields of science. Current methods either ignore the heterogeneous distribution of nodal degrees or assume prior knowledge of the…

Social and Information Networks · Computer Science 2021-12-22 Xin-Jian Xu , Cheng Chen , J. F. F. Mendes

We propose a new local, deterministic and parameter-free algorithm that detects fuzzy and crisp overlapping communities in a weighted network and simultaneously reveals their hierarchy. Using a local fitness function, the algorithm greedily…

Data Analysis, Statistics and Probability · Physics 2015-03-17 Frank Havemann , Michael Heinz , Alexander Struck , Jochen Gläser

Community is a common characteristic of networks including social networks, biological networks, computer and information networks, to name a few. Community detection is a basic step for exploring and analysing these network data.…

Machine Learning · Computer Science 2020-04-07 Maoying Qiao , Jun Yu , Wei Bian , Dacheng Tao