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We propose and study a set of algorithms for discovering community structure in networks -- natural divisions of network nodes into densely connected subgroups. Our algorithms all share two definitive features: first, they involve iterative…

Statistical Mechanics · Physics 2009-11-10 M. E. J. Newman , M. Girvan

In many networks, it is of great interest to identify "communities", unusually densely knit groups of individuals. Such communities often shed light on the function of the networks or underlying properties of the individuals. Recently,…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Gaurav Agarwal , David Kempe

Many real networks that are inferred or collected from data are incomplete due to missing edges. Missing edges can be inherent to the dataset (Facebook friend links will never be complete) or the result of sampling (one may only have access…

Social and Information Networks · Computer Science 2016-09-28 Matthew Burgess , Eytan Adar , Michael Cafarella

Community detection in graphs has been the subject of many algorithms. Recent methods want to optimize a modularity function which shows a maximum of relationships within communities and found a minimum of inter-community relations. these…

Machine Learning · Statistics 2013-07-11 Michel Crampes , Michel Plantié , Marie Lopez

Community detection is a very active field in complex networks analysis, consisting in identifying groups of nodes more densely interconnected relatively to the rest of the network. The existing algorithms are usually tested and compared on…

Social and Information Networks · Computer Science 2012-08-16 Günce Orman , Vincent Labatut , Hocine Cherifi

Community detection is a significant and challenging task in network science. Nowadays, plenty of attention has been paid on local methods for community detection. Greedy expanding is a popular and efficient class of local algorithms, which…

Physics and Society · Physics 2022-07-13 Junfang Zhu , Xuezao Ren , Peijie Ma , Kun Gao , Bing-Hong Wang , Tao Zhou

Modularity maximization has been one of the most widely used approaches in the last decade for discovering community structure in networks of practical interest in biology, computing, social science, statistical mechanics, and more.…

Physics and Society · Physics 2017-11-10 David Mehrle , Amy Strosser , Anthony Harkin

Community structure is one of the most important features of real networks and reveals the internal organization of the nodes. Many algorithms have been proposed but the crucial issue of testing, i.e. the question of how good an algorithm…

Physics and Society · Physics 2008-10-30 Andrea Lancichinetti , Santo Fortunato , Filippo Radicchi

The most widely used techniques for community detection in networks, including methods based on modularity, statistical inference, and information theoretic arguments, all work by optimizing objective functions that measure the quality of…

Social and Information Networks · Computer Science 2020-05-13 Maria A. Riolo , M. E. J. Newman

Community detection in graphs is crucial for understanding the organization of nodes into densely connected clusters. While numerous strategies have been developed to identify these clusters, the success of community detection can lead to…

Social and Information Networks · Computer Science 2025-09-03 Junyuan Fang , Huimin Liu , Yueqi Peng , Jiajing Wu , Zibin Zheng , Chi K. Tse

Community detection is expensive, and the cost generally depends at least linearly on the number of vertices in the graph. We propose working with a reduced graph that has many fewer nodes but nonetheless captures key community structure.…

Physics and Society · Physics 2014-10-14 Chengbin Peng , Tamara G. Kolda , Ali Pinar

Community detection is an important task in network analysis. A community (also referred to as a cluster) is a set of cohesive vertices that have more connections inside the set than outside. In many social and information networks, these…

Social and Information Networks · Computer Science 2015-04-06 Joyce Jiyoung Whang , David F. Gleich , Inderjit S. Dhillon

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

We present a new online algorithm for detecting overlapping communities. The main ingredients are a modification of an online k-means algorithm and a new approach to modelling overlap in communities. An evaluation on large benchmark graphs…

Machine Learning · Computer Science 2015-04-28 Mark Kozdoba , Shie Mannor

The study of networks has received increased attention recently not only from the social sciences and statistics but also from physicists, computer scientists and mathematicians. One of the principal problem in networks is community…

Machine Learning · Statistics 2014-01-27 Sharmodeep Bhattacharyya , Peter J. Bickel

Community detection is a fundamental problem in computational sciences with extensive applications in various fields. The most commonly used methods are the algorithms designed to maximize modularity over different partitions of the network…

Social and Information Networks · Computer Science 2023-06-27 Samin Aref , Mahdi Mostajabdaveh , Hriday Chheda

In this paper we present a novel strategy to discover the community structure of (possibly, large) networks. This approach is based on the well-know concept of network modularity optimization. To do so, our algorithm exploits a novel…

Social and Information Networks · Computer Science 2012-02-13 Pasquale De Meo , Emilio Ferrara , Giacomo Fiumara , Alessandro Provetti

Complex networks represent interactions between entities. They appear in various contexts such as sociology, biology, etc., and they generally contain highly connected subgroups called communities. Community detection is a well-studied…

Social and Information Networks · Computer Science 2014-06-11 Romain Campigotto , Patricia Conde Céspedes , Jean-Loup Guillaume

Community detection remains an important problem in data mining, owing to the lack of scalable algorithms that exploit all aspects of available data - namely the directionality of flow of information and the dynamics thereof. Most existing…

Social and Information Networks · Computer Science 2018-05-15 Rajagopal Venkatesaramani , Yevgeniy Vorobeychik

Finding densely connected subsets of vertices in an unsupervised setting, called clustering or community detection, is one of the fundamental problems in network science. The edge clustering approach instead detects communities by…

Social and Information Networks · Computer Science 2026-03-02 Ryan DeWolfe , François Théberge