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We propose a novel method to find the community structure in complex networks based on an extremal optimization of the value of modularity. The method outperforms the optimal modularity found by the existing algorithms in the literature. We…

无序系统与神经网络 · 物理学 2009-11-11 J. Duch , A. Arenas

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…

数据分析、统计与概率 · 物理学 2007-05-23 M. E. J. Newman

Communities are fundamental entities for the characterization of the structure of real networks. The standard approach to the identification of communities in networks is based on the optimization of a quality function known as…

物理与社会 · 物理学 2013-07-15 Filippo Radicchi

The characterization of network community structure has profound implications in several scientific areas. Therefore, testing the algorithms developed to establish the optimal division of a network into communities is a fundamental problem…

物理与社会 · 物理学 2013-08-02 Rodrigo Aldecoa , Ignacio Marín

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

Common experience suggests that many networks might possess community structure - division of vertices into groups, with a higher density of edges within groups than between them. Here we describe a new computer algorithm that detects…

统计力学 · 物理学 2015-06-24 M. E. J. Newman , M. Girvan

The study of the sub-structure of complex networks is of major importance to relate topology and functionality. Many efforts have been devoted to the analysis of the modular structure of networks using the quality function known as…

数据分析、统计与概率 · 物理学 2011-07-01 Belkacem Serrour , Alex Arenas , Sergio Gomez

How to determine the community structure of complex networks is an open question. It is critical to establish the best strategies for community detection in networks of unknown structure. Here, using standard synthetic benchmarks, we show…

社会与信息网络 · 计算机科学 2013-01-15 Rodrigo Aldecoa , Ignacio Marín

We find there is relationship between the associated bigraph and the cluster (or community) detecting on network. By imbedding the associated bigraph of some network (suppose it has cluster structures) into some space, we can identify the…

物理与社会 · 物理学 2014-10-03 Zhe He , Yi-Ming Huang , Rui-Jie Xu , Bing-Hong Wang , Zhong-Can Ou-Yang

Community structures are an important feature of many social, biological and technological networks. Here we study a variation on the method for detecting such communities proposed by Girvan and Newman and based on the idea of using…

统计力学 · 物理学 2009-11-10 Santo Fortunato , Vito Latora , Massimo Marchiori

Because networks can be used to represent many complex systems, they have attracted considerable attention in physics, computer science, sociology, and many other disciplines. One of the most important areas of network science is the…

社会与信息网络 · 计算机科学 2016-11-18 Huiyi Hu , Yves van Gennip , Blake Hunter , Mason A. Porter , Andrea L. Bertozzi

We address the question of finding the community structure of a complex network. In an earlier effort [H. Zhou, {\em Phys. Rev. E} (2003)], the concept of network random walking is introduced and a distance measure defined. Here we…

生物物理 · 物理学 2009-11-10 Haijun Zhou

The detection of community structure is probably one of the hottest trends in complex network research as it reveals the internal organization of people, molecules or processes behind social, biological or computer networks\dots The issue…

社会与信息网络 · 计算机科学 2023-10-02 Franck Delaplace

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…

物理与社会 · 物理学 2014-12-30 Pan Zhang , Cristopher Moore

In this paper, a new comparative definition for community in networks is proposed and the corresponding detecting algorithm is given. A community is defined as a set of nodes, which satisfy that each node's degree inside the community…

物理与社会 · 物理学 2009-11-13 Yanqing Hu , Hongbin Chen , Peng Zhang , Menghui Li , Zengru Di , Ying Fan

Much effort has gone into understanding the modular nature of complex networks. Communities, also known as clusters or modules, are typically considered to be densely interconnected groups of nodes that are only sparsely connected to other…

物理与社会 · 物理学 2012-06-26 James P. Bagrow

We consider two new problems regarding the impact of edge addition or removal on the modularity of partitions (or community structures) in a network. The first problem seeks to add edges to enforce that a desired partition is the partition…

社会与信息网络 · 计算机科学 2022-05-23 Daniel Kosmas , John E. Mitchell , Thomas C. Sharkey , Boleslaw K. Szymanski

Modularity, first proposed by [Newman and Girvan, 2004], is one of the most popular ways to quantify the significance of community structure in complex networks. It can serve as both a standard benchmark to compare different community…

社会与信息网络 · 计算机科学 2022-02-14 Qian Wang , Yongkang Guo , Zhihuan Huang , Yuqing Kong

Complex networks of real-world systems are believed to be controlled by common phenomena, producing structures far from regular or random. Clustering, community structure and assortative mixing by degree are perhaps among most prominent…

物理与社会 · 物理学 2012-02-16 Lovro Šubelj , Marko Bajec

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…

物理与社会 · 物理学 2013-08-08 Jean-Charles Delvenne , Michael T. Schaub , Sophia N. Yaliraki , Mauricio Barahona