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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…

社会与信息网络 · 计算机科学 2017-01-02 Mingming Chen , Tommy Nguyen , Boleslaw K. Szymanski

Agglomerative clustering is a well established strategy for identifying communities in networks. Communities are successively merged into larger communities, coarsening a network of actors into a more manageable network of communities. The…

物理与社会 · 物理学 2014-01-16 Michael J. Barber

The question of what can be computed, and how efficiently, are at the core of computer science. Not surprisingly, in distributed systems and networking research, an equally fundamental question is what can be computed in a…

分布式、并行与集群计算 · 计算机科学 2016-04-01 Fabian Kuhn , Thomas Moscibroda , Roger Wattenhofer

Identifying community structure in networks is an issue of particular interest in network science. The modularity introduced by Newman and Girvan [Phys. Rev. E 69, 026113 (2004)] is the most popular quality function for community detection…

社会与信息网络 · 计算机科学 2016-01-27 Atsushi Miyauchi , Yasushi Kawase

Modularity Q is an important function for identifying community structure in complex networks. In this paper, we prove that the modularity maximization problem is equivalent to a nonconvex quadratic programming problem. This result provide…

物理与社会 · 物理学 2009-11-13 Yanqing Hu , Jinshan Wu , Zengru Di

Current approaches to community detection in social networks often ignore the spatial location of the nodes. In this paper, we look to extract spatially-near communities in a social network. We introduce a new metric to measure the quality…

社会与信息网络 · 计算机科学 2013-09-12 Joseph Hannigan , Guillermo Hernandez , Richard M. Medina , Patrcik Roos , Paulo Shakarian

Discovering communities in complex networks helps to understand the behaviour of the network. Some works in this promising research area exist, but communities uncovering in time-dependent and/or multiplex networks has not deeply…

物理与社会 · 物理学 2016-04-05 Vincenza Carchiolo , Alessandro Longheu , Michele Malgeri , Giuseppe Mangioni

We propose a new model to detect the overlapping communities of a network that is based on cooperative games and mathematical programming. More specifically, communities are defined as stable coalitions of a weighted graph community game…

最优化与控制 · 数学 2023-01-26 Stefano Benati , Justo Puerto , Antonio M. Rodríguez-Chía , Francisco Temprano

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…

统计力学 · 物理学 2009-11-10 Luca Donetti , Miguel A. Munoz

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.…

物理与社会 · 物理学 2009-07-28 Hua-Wei Shen , Xue-Qi Cheng , Jia-Feng Guo

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…

物理与社会 · 物理学 2015-05-13 A. D. Medus , C. O. Dorso

We show here that the problem of maximizing a family of quantitative functions, encompassing both the modularity (Q-measure) and modularity density (D-measure), for community detection can be uniformly understood as a combinatoric…

物理与社会 · 物理学 2015-05-27 Jonathan Q. Jiang , Lisa J. McQuay

In this paper, we proposed a novel two-stage optimization method for network community partition, which is based on inherent network structure information. The introduced optimization approach utilizes the new network centrality measure of…

社会与信息网络 · 计算机科学 2019-07-16 Yiguang Bai , Sanyang Liu , Ke Yin , Jing Yuan

Community structure is an important property of complex networks. An automatic discovery of such structure is a fundamental task in many disciplines, including sociology, biology, engineering, and computer science. Recently, several…

物理与社会 · 物理学 2008-04-11 Jianhua Ruan , Weixiong Zhang

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…

物理与社会 · 物理学 2016-11-17 Mingming Chen , Konstantin Kuzmin , Boleslaw K. Szymanski

Community detection is a fundamental network-analysis primitive with a variety of applications in diverse domains. Although the modularity introduced by Newman and Girvan (2004) has widely been used as a quality function for community…

社会与信息网络 · 计算机科学 2023-05-02 Issey Sukeda , Atsushi Miyauchi , Akiko Takeda

A basic question in network community detection is how modular a given network is. This is usually addressed by evaluating the quality of partitions detected in the network. The Girvan-Newman (GN) modularity function is the standard way to…

物理与社会 · 物理学 2022-05-25 Filipi N. Silva , Aiiad Albeshri , Vijey Thayananthan , Wadee Alhalabi , Santo Fortunato

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…

应用统计 · 统计学 2017-08-16 Weston D. Viles , A. James O'Malley

The modularity of a network quantifies the extent, relative to a null model network, to which vertices cluster into community groups. We define a null model appropriate for bipartite networks, and use it to define a bipartite modularity.…

数据分析、统计与概率 · 物理学 2007-12-12 Michael J. Barber

The ubiquity of modular structure in real-world complex networks is being the focus of attention in many trials to understand the interplay between network topology and functionality. The best approaches to the identification of modular…

计算物理 · 物理学 2007-07-30 A. Arenas , J. Duch , A. Fernandez , S. Gomez