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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

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

Community detection in graphs is the problem of finding groups of vertices which are more densely connected than they are to the rest of the graph. This problem has a long history, but it is undergoing a resurgence of interest due to the…

Computational Complexity · Computer Science 2017-08-25 Cristopher Moore

Community detection is one of the fundamental problems in the study of network data. Most existing community detection approaches only consider edge information as inputs, and the output could be suboptimal when nodal information is…

Methodology · Statistics 2016-12-13 Haolei Weng , Yang Feng

Communities are not static; they evolve, split and merge, appear and disappear, i.e. they are product of dynamical processes that govern the evolution of the network. A good algorithm for community detection should not only quantify the…

Physics and Society · Physics 2011-11-24 Angel Stanoev , Daniel Smilkov , Ljupco Kocarev

In network science, researchers often use mutual information to understand the difference between network partitions produced by community detection methods. Here we extend the use of mutual information to covers, that is, the cases where a…

Mathematical Physics · Physics 2012-02-03 Alcides Viamontes Esquivel , Martin Rosvall

Many times the nodes of a complex network, whether deliberately or not, are aggregated for technical, ethical, legal limitations or privacy reasons. A common example is the geographic position: one may uncover communities in a network of…

In this work, we focus on solving a decentralized consensus problem in a private manner. Specifically, we consider a setting in which a group of nodes, connected through a network, aim at computing the mean of their local values without…

Multiagent Systems · Computer Science 2022-02-22 Mohammad Fereydounian , Aryan Mokhtari , Ramtin Pedarsani , Hamed Hassani

The problem and implications of community detection in networks have raised a huge attention, for its important applications in both natural and social sciences. A number of algorithms has been developed to solve this problem, addressing…

Social and Information Networks · Computer Science 2014-02-28 Cristian Bisconti , Angelo Corallo , Laura Fortunato , Antonio A. Gentile

Real-world networks usually have community structure, that is, nodes are grouped into densely connected communities. Community detection is one of the most popular and best-studied research topics in network science and has attracted…

Social and Information Networks · Computer Science 2018-09-21 Yunpeng Zhao

Community structure describes the organization of a network into subgraphs that contain a prevalence of edges within each subgraph and relatively few edges across boundaries between subgraphs. The development of community-detection methods…

Physics and Society · Physics 2017-05-08 Saray Shai , Natalie Stanley , Clara Granell , Dane Taylor , Peter J. Mucha

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

Community detection in social networks is a problem with considerable interest, since, discovering communities reveals hidden information about networks. There exist many algorithms to detect inherent community structures and recently few…

Social and Information Networks · Computer Science 2019-11-21 Waqas Nawaz

Characterizing the community structure of complex networks is a key challenge in many scientific fields. Very diverse algorithms and methods have been proposed to this end, many working reasonably well in specific situations. However, no…

Physics and Society · Physics 2013-01-01 Rodrigo Aldecoa , Ignacio Marín

Community detection is a well established method for studying the meso scale structure of social networks. Applying a community detection algorithm results in a division of a network into communities that is often used to inspect and reason…

Social and Information Networks · Computer Science 2021-11-22 Dafne E. van Kuppevelt , Rena Bakhshi , Eelke M. Heemskerk , Frank W. Takes

Considering a clique as a conservative definition of community structure, we examine how graph partitioning algorithms interact with cliques. Many popular community-finding algorithms partition the entire graph into non-overlapping…

Physics and Society · Physics 2012-05-15 Fergal Reid , Aaron McDaid , Neil Hurley

Many real world systems or web services can be represented as a network such as social networks and transportation networks. In the past decade, many algorithms have been developed to detect the communities in a network using connections…

Social and Information Networks · Computer Science 2015-01-21 Zhi Liu , Yan Huang

Community detection is one of the most investigated problems in the field of complex networks. Although several methods were proposed, there is still no precise definition of communities. As a step towards a definition, I highlight two…

Physics and Society · Physics 2015-05-27 Gergely Tibély

Networks often exhibit structure at disparate scales. We propose a method for identifying community structure at different scales based on multiresolution modularity and consensus clustering. Our contribution consists of two parts. First,…

Social and Information Networks · Computer Science 2018-02-01 Lucas G. S. Jeub , Olaf Sporns , Santo Fortunato

In this article, we advance divide-and-conquer strategies for solving the community detection problem in networks. We propose two algorithms which perform clustering on a number of small subgraphs and finally patches the results into a…

Machine Learning · Statistics 2017-08-21 Soumendu Sundar Mukherjee , Purnamrita Sarkar , Peter J. Bickel