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The spectrum of the adjacency matrix plays several important roles in the mathematical theory of networks and in network data analysis, for example in percolation theory, community detection, centrality measures, and the theory of dynamical…

Social and Information Networks · Computer Science 2019-10-08 M. E. J. Newman

The study of complex networks has significantly advanced our understanding of community structures which serves as a crucial feature of real-world graphs. Detecting communities in graphs is a challenging problem with applications in…

Social and Information Networks · Computer Science 2024-07-15 Jiakang Li , Songning Lai , Zhihao Shuai , Yuan Tan , Yifan Jia , Mianyang Yu , Zichen Song , Xiaokang Peng , Ziyang Xu , Yongxin Ni , Haifeng Qiu , Jiayu Yang , Yutong Liu , Yonggang Lu

Community discovery in the social network is one of the tremendously expanding areas which earn interest among researchers for the past one decade. There are many already existing algorithms. However, new seed-based algorithms establish an…

Social and Information Networks · Computer Science 2018-08-13 Belfin R , E. Grace Mary Kanaga , Piotr Bródka

Community identification is a long-standing challenge in the modern network science, especially for very large scale networks containing millions of nodes. In this paper, we propose a new metric to quantify the structural similarity between…

Networking and Internet Architecture · Computer Science 2009-05-31 Biao Xiang , En-Hong Chen , Tao Zhou

Large-scale multi-layer networks with large numbers of nodes, edges, and layers arise across various domains, which poses a great computational challenge for the downstream analysis. In this paper, we develop an efficient randomized…

Computation · Statistics 2025-01-10 Wenqing Su , Xiao Guo , Xiangyu Chang , Ying Yang

A community reveals the features and connections of its members that are different from those in other communities in a network. Detecting communities is of great significance in network analysis. Despite the classical spectral clustering…

Social and Information Networks · Computer Science 2022-04-21 Xing Su , Shan Xue , Fanzhen Liu , Jia Wu , Jian Yang , Chuan Zhou , Wenbin Hu , Cecile Paris , Surya Nepal , Di Jin , Quan Z. Sheng , Philip S. Yu

A fundamental problem in the analysis of network data is the detection of network communities, groups of densely interconnected nodes, which may be overlapping or disjoint. Here we describe a method for finding overlapping communities based…

Social and Information Networks · Computer Science 2015-03-19 Brian Ball , Brian Karrer , M. E. J. Newman

Community structure analysis is a powerful tool for complex networks, which can simplify their functional analysis considerably. Recently, many approaches were proposed to community structure detection, but few works were focused on the…

Physics and Society · Physics 2010-02-11 Yanqing Hu , Yiming Ding , Ying Fan , Zengru Di

The paper investigates the problem of finding communities in complex network systems, the detection of which allows a better understanding of the laws of their functioning. To solve this problem, two approaches are proposed based on the use…

Physics and Society · Physics 2021-02-23 Olexandr Polishchuk

Many methods have been proposed for community detection in networks, but most of them do not take into account additional information on the nodes that is often available in practice. In this paper, we propose a new joint community…

Machine Learning · Statistics 2016-12-13 Yuan Zhang , Elizaveta Levina , Ji Zhu

Community detection is a key task to further understand the function and the structure of complex networks. Therefore, a strategy used to assess this task must be able to avoid biased and incorrect results that might invalidate further…

Social and Information Networks · Computer Science 2021-02-09 Jeancarlo Campos Leão , Alberto H. F. Laender , Pedro O. S. Vaz de Melo

In this paper, we consider the problem of exploring structural regularities of networks by dividing the nodes of a network into groups such that the members of each group have similar patterns of connections to other groups. Specifically,…

Physics and Society · Physics 2015-05-30 Hua-Wei Shen , Xue-Qi Cheng , Jia-Feng Guo

Bipartite networks composed of dichotomous node sets are ubiquitous in nature and society. Partly for simplicity's sake, many studies have focused on their projection onto their unipartite versions where one only needs to care about a…

Physics and Society · Physics 2022-01-03 Sang Hoon Lee

Using methods from random matrix theory researchers have recently calculated the full spectra of random networks with arbitrary degrees and with community structure. Both reveal interesting spectral features, including deviations from the…

Social and Information Networks · Computer Science 2014-04-29 Xiao Zhang , Raj Rao Nadakuditi , M. E. J. Newman

Many systems can be described using graphs, or networks. Detecting communities in these networks can provide information about the underlying structure and functioning of the original systems. Yet this detection is a complex task and a…

Data Structures and Algorithms · Computer Science 2013-02-06 Erwan Le Martelot , Chris Hankin

Community detection in multi-layer networks is a crucial problem in network analysis. In this paper, we analyze the performance of two spectral clustering algorithms for community detection within the framework of the multi-layer…

Social and Information Networks · Computer Science 2025-02-11 Huan Qing

We propose a new algorithm to detect the community structure in a network that utilizes both the network structure and vertex attribute data. Suppose we have the network structure together with the vertex attribute data, that is, the…

Social and Information Networks · Computer Science 2016-11-23 Shun Kataoka , Takuto Kobayashi , Muneki Yasuda , Kazuyuki Tanaka

Community detection in social networks is a problem with considerable interest, since, discovering communities reveals hidden information about networks. There exist many algorithms to detect inherent community structures and recently few…

Social and Information Networks · Computer Science 2019-11-21 Waqas Nawaz

Nowadays, networks are almost ubiquitous. In the past decade, community detection received an increasing interest as a way to uncover the structure of networks by grouping nodes into communities more densely connected internally than…

Data Structures and Algorithms · Computer Science 2015-03-20 Erwan Le Martelot , Chris Hankin

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…

Social and Information Networks · Computer Science 2012-08-16 Günce Orman , Vincent Labatut , Hocine Cherifi
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