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Many networks of interest in the sciences, including a variety of social and biological networks, are found to divide naturally into communities or modules. The problem of detecting and characterizing this community structure has attracted…

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

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

The community structure of a complex network can be determined by finding the partitioning of its nodes that maximizes modularity. Many of the proposed algorithms for doing this work by recursively bisecting the network. We show that this…

计算机与社会 · 计算机科学 2015-05-13 Yudong Sun , Bogdan Danila , Kresimir Josic , Kevin E. Bassler

This paper investigates community detection by modularity maximisation on bipartite networks. In particular we are interested in how the operation of projection, using one node set of the bipartite network to infer connections between nodes…

社会与信息网络 · 计算机科学 2020-05-20 Rudy Arthur

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

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

Detecting community structure is fundamental to clarify the link between structure and function in complex networks and is used for practical applications in many disciplines. A successful method relies on the optimization of a quantity…

物理与社会 · 物理学 2007-05-23 Santo Fortunato , Marc Barthelemy

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

The study of network structure is pervasive in sociology, biology, computer science, and many other disciplines. One of the most important areas of network science is the algorithmic detection of cohesive groups of nodes called…

社会与信息网络 · 计算机科学 2013-04-18 Huiyi Hu , Thomas Laurent , Mason A. Porter , Andrea L. Bertozzi

Community detection methods can be used to explore the structure of complex systems. The well-known modular configurations in complex financial systems indicate the existence of community structures. Here we analyze the community properties…

投资组合管理 · 定量金融 2021-12-28 Longfeng Zhao , Chao Wang , Gang-Jin Wang , H. Eugene Stanley , Lin Chen

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

Community detection is one of the most important problems in network analysis. Among many algorithms proposed for this task, methods based on statistical inference are of particular interest: they are mathematically sound and were shown to…

社会与信息网络 · 计算机科学 2019-02-25 Liudmila Prokhorenkova , Alexey Tikhonov

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

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

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

Many real-world complex networks exhibit a community structure, in which the modules correspond to actual functional units. Identifying these communities is a key challenge for scientists. A common approach is to search for the network…

物理与社会 · 物理学 2016-12-22 Federico Botta , Charo I. del Genio

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

We review and improve a recently introduced method for the detection of communities in complex networks. This method combines spectral properties of some matrices encoding the network topology, with well known hierarchical clustering…

物理与社会 · 物理学 2009-11-11 L. Donetti , M. A. Munoz

Modularity maximization is one of the state-of-the-art methods for community detection that has gained popularity in the last decade. Yet it suffers from the resolution limit problem by preferring under certain conditions large communities…

社会与信息网络 · 计算机科学 2017-10-10 Xiaoyan Lu , Konstantin Kuzmin , Mingming Chen , Boleslaw K. Szymanski
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