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Modularity is widely used to effectively measure the strength of the community structure found by community detection algorithms. However, modularity maximization suffers from two opposite yet coexisting problems: in some cases, it tends to…

Social and Information Networks · Computer Science 2017-01-02 Mingming Chen , Tommy Nguyen , Boleslaw K. Szymanski

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

We introduce a new algorithm for modularity-based community detection in large networks. The algorithm, which we refer to as a smart local moving algorithm, takes advantage of a well-known local moving heuristic that is also used by other…

Physics and Society · Physics 2015-06-17 Ludo Waltman , Nees Jan van Eck

Community detection is an important research topic in complex networks. We present the employment of a genetic algorithm to detect communities in complex networks which is based on optimizing network modularity. It does not need any prior…

Physics and Society · Physics 2007-11-06 Mursel Tasgin , Amac Herdagdelen , Haluk Bingol

It has been shown that the communities of complex networks often overlap with each other. However, there is no effective method to quantify the overlapping community structure. In this paper, we propose a metric to address this problem.…

Physics and Society · Physics 2009-07-28 Hua-Wei Shen , Xue-Qi Cheng , Jia-Feng Guo

Given a graph of interactions, a module (also called a community or cluster) is a subset of nodes whose fitness is a function of the statistical significance of the pairwise interactions of nodes in the module. The topic of this paper is a…

Physics and Society · Physics 2018-08-20 Bhaskar DasGupta , Devendra Desai

We study how to detect groups in a complex network each of which consists of component nodes sharing a similar connection pattern. Based on the mixture models and the exploratory analysis set up by Newman and Leicht (Newman and Leicht 2007…

Data Analysis, Statistics and Probability · Physics 2008-12-17 J. Wang , C. -H. Lai

The growing popularity of online social networks has provided researchers with access to large amount of social network data. This, coupled with the ever increasing computation speed, storage capacity and data mining capabilities, led to…

Computers and Society · Computer Science 2008-12-18 Rumi Ghosh , Kristina Lerman

Community structures detection is one of the fundamental problems in complex network analysis towards understanding the topology structures of the network and the functions of it. Nonnegative matrix factorization (NMF) is a widely used…

Social and Information Networks · Computer Science 2018-01-22 Zhenhai Chang , Hui-Min Cheng , Chao Yan , Xianjun Yin , Zhong-Yuan Zhang

The role of weight on the weighted networks is investigated by studying the effect of weight on community structures. We use weighted modularity $Q^w$ to evaluate the partitions and Weighted Extremal Optimization algorithm to detect…

Physics and Society · Physics 2015-06-26 Ying Fan , Menghui Li , Peng Zhang , Jinshan Wu , Zengru Di

The problem of community detection is relevant in many disciplines of science and modularity optimization is the widely accepted method for this purpose. It has recently been shown that this approach presents a resolution limit by which it…

Physics and Society · Physics 2015-05-13 A. D. Medus , C. O. Dorso

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

Using an intuitive concept of what constitutes a meaningful community, a novel metric is formulated for detecting non-overlapping communities in undirected, weighted heterogeneous networks. This metric, modularity density, is shown to be…

Social and Information Networks · Computer Science 2019-08-23 Swathi M. Mula , Gerardo Veltri

We consider an alternate definition of community structure that is functionally motivated. We define network community structure-based on the function the network system is intended to perform. In particular, as a specific example of this…

Physics and Society · Physics 2015-03-13 Sanjeev Chauhan , Michelle Girvan , Edward Ott

Starting from a general \textit{ansatz}, we show how community detection can be interpreted as finding the ground state of an infinite range spin glass. Our approach applies to weighted and directed networks alike. It contains the…

Disordered Systems and Neural Networks · Physics 2009-11-11 Joerg Reichardt , Stefan Bornholdt

Community detection in networks is the process of identifying unusually well-connected sub-networks and is a central component of many applied network analyses. The paradigm of modularity optimization stipulates a partition of the network's…

Applications · Statistics 2017-08-16 Weston D. Viles , A. James O'Malley

Modularity is a popular measure of community structure. However, maximizing the modularity can lead to many competing partitions, with almost the same modularity, that are poorly correlated with each other. It can also produce illusory…

Physics and Society · Physics 2014-12-30 Pan Zhang , Cristopher Moore

Revealing a community structure in a network or dataset is a central problem arising in many scientific areas. The modularity function $Q$ is an established measure quantifying the quality of a community, being identified as a set of nodes…

Social and Information Networks · Computer Science 2018-09-13 Francesco Tudisco , Pedro Mercado , Matthias Hein

A system of differential equations is proposed designed as to identify communities in weighted networks. The input is a symmetric connectivity matrix $A_{ij}$. A priori information on the number of communities is not needed. To verify the…

Data Analysis, Statistics and Probability · Physics 2008-01-08 Malgorzata J. Krawczyk , Krzysztof Kulakowski

In this paper, through thinking on the modularity function that measures the standard of community division, a new algorithm for dividing communities is proposed, called the Connect Intensity Iteration algorithm, or CIIA for short. In this…

Social and Information Networks · Computer Science 2021-10-29 Zhang Renquan , Wang Yu , Wang Xiaolin , Sun Yuze , Tai Jilei