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In this paper, we first discuss the definition of modularity (Q) used as a metric for community quality and then we review the modularity maximization approaches which were used for community detection in the last decade. Then, we discuss…

Physics and Society · Physics 2016-11-17 Mingming Chen , Konstantin Kuzmin , Boleslaw K. Szymanski

Community detection, as well as the identification of other structures like core periphery and disassortative patterns, is an important topic in network analysis. While most methods seek to find the best partition of the network according…

Social and Information Networks · Computer Science 2024-10-25 Rudy Arthur

Heterogeneous networks are networks consisting of different types of nodes and multiple types of edges linking such nodes. While community detection has been extensively developed as a useful technique for analyzing networks that contain…

Social and Information Networks · Computer Science 2018-03-23 Jingfei Zhang , Yuguo Chen

Detecting communities or the modular structure of real-life networks (e.g. a social network or a product purchase network) is an important task because the way a network functions is often determined by its communities. Traditional…

Social and Information Networks · Computer Science 2020-06-30 Swarup Chattopadhyay , Debasis Ganguly

Community detection in online social networks has been a hot research topic in recent years. Meanwhile, to enjoy more social network services, users nowadays are usually involved in multiple online social networks simultaneously, some of…

Social and Information Networks · Computer Science 2015-06-19 Jiawei Zhang , Philip S. Yu

Community detection for large networks poses challenges due to the high computational cost as well as heterogeneous community structures. In this paper, we consider widely existing real-world networks with ``grouped communities'' (or ``the…

Computation · Statistics 2024-11-04 Sheng Zhang , Rui Song , Wenbin Lu , Ji Zhu

The characterization of network community structure has profound implications in several scientific areas. Therefore, testing the algorithms developed to establish the optimal division of a network into communities is a fundamental problem…

Physics and Society · Physics 2013-08-02 Rodrigo Aldecoa , Ignacio Marín

Nodes in real-world networks are repeatedly observed to form dense clusters, often referred to as communities. Methods to detect these groups of nodes usually maximize an objective function, which implicitly contains the definition of a…

Physics and Society · Physics 2015-09-10 V. A. Traag , R. Aldecoa , J-C. Delvenne

In this paper a simple but efficient real-time detecting algorithm is proposed for tracking community structure of dynamic networks. Community structure is intuitively characterized as divisions of network nodes into subgroups, within which…

Social and Information Networks · Computer Science 2014-07-11 Jiaxing Shang , Lianchen Liu , Feng Xie , Zhen Chen , Jiajia Miao , Xuelin Fang , Cheng Wu

Community detection is a key tool for analyzing the structure of large networks. Standard methods, such as modularity optimization, focus on identifying densely connected groups but often overlook natural local separations in the graph. In…

Social and Information Networks · Computer Science 2025-04-22 Sarah Frenkel , Johannes Carmesin

Graph clustering is an important unsupervised learning technique for partitioning graphs with attributes and detecting communities. However, current methods struggle to accurately capture true community structures and intra-cluster…

Machine Learning · Computer Science 2024-11-19 Samarth Bhatia , Yukti Makhija , Manoj Kumar , Sandeep Kumar

Community structure is a key feature omnipresent in real-world network data. Plethora of methods have been proposed to reveal subsets of densely interconnected nodes using criteria such as the modularity index. These approaches have been…

Social and Information Networks · Computer Science 2026-01-21 Alexandre Cionca , Chun Hei Michael Chan , Dimitri Van De Ville

Community detection methods play a central role in understanding complex networks by revealing highly connected subsets of entities. However, most community detection algorithms generate partitions of the nodes, thus (i) forcing every node…

Social and Information Networks · Computer Science 2025-06-05 Jordan Barrett , Ryan DeWolfe , Bogumił Kamiński , Paweł Prałat , Aaron Smith , François Théberge

We present the class of projection methods for community detection that generalizes many popular community detection methods. In this framework, we represent each clustering (partition) by a vector on a high-dimensional hypersphere. A…

Social and Information Networks · Computer Science 2023-12-25 Martijn Gösgens , Remco van der Hofstad , Nelly Litvak

We consider the problem of finding communities or modules in directed networks. The most common approach to this problem in the previous literature has been simply to ignore edge direction and apply methods developed for community discovery…

Data Analysis, Statistics and Probability · Physics 2008-03-22 E. A. Leicht , M. E. J. Newman

Many complex networks show signs of modular structure, uncovered by community detection. Although many methods succeed in revealing various partitions, it remains difficult to detect at what scale some partition is significant. This problem…

Physics and Society · Physics 2013-10-15 V. A. Traag , G. Krings , P. Van Dooren

Community detection is a critical challenge in analysing real graphs, including social, transportation, citation, cybersecurity, and many other networks. This article proposes three new, general, hierarchical frameworks to deal with this…

Social and Information Networks · Computer Science 2023-05-25 Łukasz Brzozowski , Grzegorz Siudem , Marek Gagolewski

The clustering ensemble paradigm has emerged as an effective tool for community detection in multilayer networks, which allows for producing consensus solutions that are designed to be more robust to the algorithmic selection and…

Databases · Computer Science 2018-04-19 Domenico Mandaglio , Alessia Amelio , Andrea Tagarelli

Recent years have seen a surge of interest in the analysis of complex networks, facilitated by the availability of relational data and the increasingly powerful computational resources that can be employed for their analysis. Naturally, the…

Physics and Society · Physics 2013-08-08 Jean-Charles Delvenne , Michael T. Schaub , Sophia N. Yaliraki , Mauricio Barahona

Discovering and characterizing the large-scale topological features in empirical networks are crucial steps in understanding how complex systems function. However, most existing methods used to obtain the modular structure of networks…

Data Analysis, Statistics and Probability · Physics 2014-03-26 Tiago P. Peixoto
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