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Many complex systems can be represented as networks, and how a network breaks up into subnetworks or communities is of wide interest. However, the development of a method to detect nodes important to communities that is both fast and…

Physics and Society · Physics 2015-05-27 Yang Wang , Zengru Di , Ying Fan

We consider the problem of detecting communities or modules in networks, groups of vertices with a higher-than-average density of edges connecting them. Previous work indicates that a robust approach to this problem is the maximization of…

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

Community detection is of great importance for understand-ing graph structure in social networks. The communities in real-world networks are often overlapped, i.e. some nodes may be a member of multiple clusters. How to uncover the…

Social and Information Networks · Computer Science 2015-01-09 Kuang Zhou , Arnaud Martin , Quan Pan

Researchers theorize that many real-world networks exhibit community structure where within-community edges are more likely than between-community edges. While numerous methods exist to cluster nodes into different communities, less work…

Social and Information Networks · Computer Science 2024-05-15 Eric Yanchenko , Srijan Sengupta

Despite the prevalence of community detection algorithms, relatively less work has been done on understanding whether a network is indeed modular and how resilient the community structure is under perturbations. To address this issue, we…

Physics and Society · Physics 2014-06-11 Tanmoy Chakraborty , Sriram Srinivasan , Niloy Ganguly , Animesh Mukherjee , Sanjukta Bhowmick

Community detection, which focuses on clustering vertex interactions, plays a significant role in network analysis. However, it also faces numerous challenges like missing data and adversarial attack. How to further improve the performance…

Social and Information Networks · Computer Science 2021-07-02 Jiajun Zhou , Zhi Chen , Min Du , Lihong Chen , Shanqing Yu , Guanrong Chen , Qi Xuan

Robustness is an important property of complex networks. Up to now, there are plentiful researches focusing on the network's robustness containing error and attack tolerance of network's connectivity and the shortest path. In this paper,…

Statistical Mechanics · Physics 2010-01-15 Jie Cheng , Xiaojia Li , Zengru Di , Ying Fan

Community detection emerges as an important task in the discovery of network mesoscopic structures. However, the concept of a "good" community is very context-dependent and it is relatively complicated to deduce community characteristics…

Social and Information Networks · Computer Science 2018-06-06 Vinh-Loc Dao , Cécile Bothorel , Philippe Lenca

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 is considered as a fundamental task in analyzing social networks. Even though many techniques have been proposed for community detection, most of them are based exclusively on the connectivity structures. However, there…

Social and Information Networks · Computer Science 2019-12-25 Hadi Zare , Mahdi Hajiabadi , Mahdi Jalili

Statistical significance of network clustering has been an unresolved problem since it was observed that community detection algorithms produce false positives even in random graphs. After a phase transition between undetectable and…

Social and Information Networks · Computer Science 2016-05-03 Jeremi K. Ochab

Discovering community structure in complex networks is a mature field since a tremendous number of community detection methods have been introduced in the literature. Nevertheless, it is still very challenging for practioners to determine…

Social and Information Networks · Computer Science 2021-04-15 Vinh-Loc Dao , Cécile Bothorel , Philippe Lenca

Community detection is one of the most active fields in complex networks analysis, due to its potential value in practical applications. Many works inspired by different paradigms are devoted to the development of algorithmic solutions…

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

An efficient and relatively fast algorithm for the detection of communities in complex networks is introduced. The method exploits spectral properties of the graph Laplacian-matrix combined with hierarchical-clustering techniques, and…

Statistical Mechanics · Physics 2009-11-10 Luca Donetti , Miguel A. Munoz

Community structure is an important structural property that extensively exists in various complex networks. In the past decade, much attention has been paid to the design of community-detection methods, but analyzing the behaviors of the…

Physics and Society · Physics 2017-06-28 Ju Xiang , Zhi-Zhong Wang , Hui-Jia Li , Yan Zhang , Fang Li , Li-Ping Dong , Jian-Ming Li

Community detection is a key task to further understand the function and the structure of complex networks. Therefore, a strategy used to assess this task must be able to avoid biased and incorrect results that might invalidate further…

Social and Information Networks · Computer Science 2021-02-09 Jeancarlo Campos Leão , Alberto H. F. Laender , Pedro O. S. Vaz de Melo

Community detection refers to the problem of clustering the nodes of a network into groups. Existing inferential methods for community structure mainly focus on unweighted (binary) networks. Many real-world networks are nonetheless weighted…

Statistics Theory · Mathematics 2022-04-21 Mingao Yuan , Zuofeng Shang

Communities often represent key structural and functional clusters in networks. To preserve such communities, it is important to understand their robustness under network perturbations. Previous work in community robustness analysis has…

Physics and Society · Physics 2023-11-03 Moyi Tian , Pablo Moriano

Community detection, which focuses on clustering nodes or detecting communities in (mostly) a single network, is a problem of considerable practical interest and has received a great deal of attention in the research community. While being…

Machine Learning · Statistics 2017-11-07 Soumendu Sundar Mukherjee , Purnamrita Sarkar , Lizhen Lin