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A simple but efficient spectral approach for analyzing the community structure of complex networks is introduced. It works the same way for all types of networks, by spectrally splitting the adjacency matrix into a "unipartite" and a…

物理与社会 · 物理学 2016-02-05 Bogdan Danila

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 study the problem of testing for community structure in networks using relations between the observed frequencies of small subgraphs. We propose a simple test for the existence of communities based only on the frequencies of three-node…

统计方法学 · 统计学 2017-10-17 Chao Gao , John Lafferty

A substantial volume of research has been devoted to studies of community structure in networks, but communities are not the only possible form of large-scale network structure. Here we describe a broad extension of community structure that…

社会与信息网络 · 计算机科学 2015-08-26 M. E. J. Newman , Tiago P. Peixoto

The topological information of a network can be retrieved equivalently from its complement consisting of the same nodes but complementary edges. Hence the partition of a network into certain substructures based on given criteria should be…

物理与社会 · 物理学 2009-08-07 Jiao Wang , C. -H. Lai

Algorithms to find communities in networks rely just on structural information and search for cohesive subsets of nodes. On the other hand, most scholars implicitly or explicitly assume that structural communities represent groups of nodes…

物理与社会 · 物理学 2014-12-12 Darko Hric , Richard K. Darst , Santo Fortunato

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

Network structures, consisting of nodes and edges, have applications in almost all subjects. A set of nodes is called a community if the nodes have strong interrelations. Industries (including cell phone carriers and online social media…

社会与信息网络 · 计算机科学 2019-02-13 Haoye Lu , Amiya Nayak

An indicator for presence of community structure in networks is suggested. It allows one to check whether such structures can exist, in principle, in any particular network, without a need to apply computationally cost algorithms. In this…

物理与社会 · 物理学 2007-05-23 V. Gol'dshtein , G. A. Koganov

Community structure is a typical property of many real-world networks, and has become a key to understand the dynamics of the networked systems. In these networks most nodes apparently lie in a community while there often exists a few nodes…

社会与信息网络 · 计算机科学 2017-12-07 Zhan Weihua , Chen Huahui , Guan Jihong , Jin Guang

The analysis of complex networks permeates all sciences, from biology to sociology. A fundamental, unsolved problem is how to characterize the community structure of a network. Here, using both standard and novel benchmarks, we show that…

分子网络 · 定量生物学 2012-12-24 Rodrigo Aldecoa , Ignacio Marín

We propose a robust, scalable, integrated methodology for community detection and community comparison in graphs. In our procedure, we first embed a graph into an appropriate Euclidean space to obtain a low-dimensional representation, and…

机器学习 · 统计学 2016-08-29 Vince Lyzinski , Minh Tang , Avanti Athreya , Youngser Park , Carey E. Priebe

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…

社会与信息网络 · 计算机科学 2012-08-16 Günce Orman , Vincent Labatut , Hocine Cherifi

Communities are a common and widely studied structure in networks, typically under the assumption that the network is fully and correctly observed. In practice, network data are often collected by querying nodes about their connections. In…

统计方法学 · 统计学 2021-03-22 Tianxi Li , Elizaveta Levina , Ji Zhu

Many edge prediction methods have been proposed, based on various local or global properties of the structure of an incomplete network. Community structure is another significant feature of networks: Vertices in a community are more densely…

信息检索 · 计算机科学 2012-05-16 Bowen Yan , Steve Gregory

Hypergraphs, describing networks where interactions take place among any number of units, are a natural tool to model many real-world social and biological systems. In this work we propose a principled framework to model the organization of…

社会与信息网络 · 计算机科学 2023-10-25 Nicolò Ruggeri , Martina Contisciani , Federico Battiston , Caterina De Bacco

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

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

The community plays a crucial role in understanding user behavior and network characteristics in social networks. Some users can use multiple social networks at once for a variety of objectives. These users are called overlapping users who…

社会与信息网络 · 计算机科学 2024-05-08 Ziqing Zhu , Guan Yuan , Tao Zhou , Jiuxin Cao

Community detection in a complex network is an important problem of much interest in recent years. In general, a community detection algorithm chooses an objective function and captures the communities of the network by optimizing the…

社会与信息网络 · 计算机科学 2015-08-27 Suman Saha , Satya P. Ghrera