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We introduce a novel method for identifying the modular structures of a network based on the maximization of an objective function: the ratio association. This cost function arises when the communities detection problem is described in the…

无序系统与神经网络 · 物理学 2009-11-11 Leonardo Angelini , Stefano Boccaletti , Daniele Marinazzo , Mario Pellicoro , Sebastiano Stramaglia

Many algorithms have been proposed for detecting disjoint communities (relatively densely connected subgraphs) in networks. One popular technique is to optimize modularity, a measure of the quality of a partition in terms of the number of…

物理与社会 · 物理学 2012-02-03 Bowen Yan , Steve Gregory

We propose and study a set of algorithms for discovering community structure in networks -- natural divisions of network nodes into densely connected subgroups. Our algorithms all share two definitive features: first, they involve iterative…

统计力学 · 物理学 2009-11-10 M. E. J. Newman , M. Girvan

Clustering and community structure is crucial for many network systems and the related dynamic processes. It has been shown that communities are usually overlapping and hierarchical. However, previous methods investigate these two…

计算机与社会 · 计算机科学 2009-02-20 Huawei Shen , Xueqi Cheng , Kai Cai , Mao-Bin Hu

In this paper we apply theoretical and practical results from facility location theory to the problem of community detection in networks. The result is an algorithm that computes bounds on a minimization variant of local modularity. We also…

Graphs representing real world systems may be studied from their underlying community structure. A community in a network is an intuitive idea for which there is no consensus on its objective mathematical definition. The most used metric in…

社会与信息网络 · 计算机科学 2022-06-29 Daniel Gamermann , José Antônio Pellizaro

To obtain the optimal number of communities is an important problem in detecting community structure. In this paper, we extend the measurement of community detecting algorithms to find the optimal community number. Based on the normalized…

物理与社会 · 物理学 2015-05-27 Zhifang Li , Yanqing Hu , Beishan Xu , Zengru Di , Ying Fan

Network representations have been effectively employed to analyze complex systems across various areas and applications, leading to the development of network science as a core tool to study systems with multiple components and complex…

神经元与认知 · 定量生物学 2023-07-25 ItaloIvo Lima Dias Pinto , Javier Omar Garcia , Kanika Bansal

We present a new layout algorithm for complex networks that combines a multi-scale approach for community detection with a standard force-directed design. Since community detection is computationally cheap, we can exploit the multi-scale…

物理与社会 · 物理学 2015-03-13 Oliver Dürr , Arnd Brandenburg

We demonstrate an exact equivalence between two widely used methods of community detection in networks, the method of modularity maximization in its generalized form which incorporates a resolution parameter controlling the size of the…

社会与信息网络 · 计算机科学 2016-11-24 M. E. J. Newman

We describe techniques for the robust detection of community structure in some classes of time-dependent networks. Specifically, we consider the use of statistical null models for facilitating the principled identification of structural…

数据分析、统计与概率 · 物理学 2013-04-16 Danielle S. Bassett , Mason A. Porter , Nicholas F. Wymbs , Scott T. Grafton , Jean M. Carlson , Peter J. Mucha

Community structure detection in complex networks is important since it can help better understand the network topology and how the network works. However, there is still not a clear and widely-accepted definition of community structure,…

社会与信息网络 · 计算机科学 2013-05-14 Zhong-Yuan Zhang , Kai-Di Sun , Si-Qi Wang

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…

物理与社会 · 物理学 2017-06-28 Ju Xiang , Zhi-Zhong Wang , Hui-Jia Li , Yan Zhang , Fang Li , Li-Ping Dong , Jian-Ming Li

Community structure identification has been one of the most popular research areas in recent years due to its applicability to the wide scale of disciplines. To detect communities in varied topics, there have been many algorithms proposed…

多智能体系统 · 计算机科学 2007-05-23 Ismail Gunes , Haluk Bingol

Community structure is one of the most important features of complex networks. Modularity-based methods for community detection typically rely on heuristic algorithms to optimize a specific community quality function. Such methods are…

物理与社会 · 物理学 2022-09-02 Kun Gao , Xuezao Ren , Lei Zhou , Junfang Zhu

Network is a simple but powerful representation of real-world complex systems. Network community analysis has become an invaluable tool to explore and reveal the internal organization of nodes. However, only a few methods were directly…

社会与信息网络 · 计算机科学 2016-03-23 Xuemei Ning , Zhaoqi Liu , Shihua Zhang

Complex real-world networks commonly reveal characteristic groups of nodes like communities and modules. These are of value in various applications, especially in the case of large social and information networks. However, while numerous…

社会与信息网络 · 计算机科学 2013-12-30 Lovro Šubelj , Marko Bajec

The investigation of community structures in networks is an important issue in many domains and disciplines. This problem is relevant for social tasks (objective analysis of relationships on the web), biological inquiries (functional…

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

We reformulate the problem of modularity maximization over the set of partitions of a network as a conic optimization problem over the completely positive cone, converting it from a combinatorial optimization problem to a convex continuous…

数据分析、统计与概率 · 物理学 2008-12-18 Roland Hildebrand