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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…

Statistical Mechanics · Physics 2009-11-10 Luca Donetti , Miguel A. Munoz

Detecting communities or the modular structure of real-life networks (e.g. a social network or a product purchase network) is an important task because the way a network functions is often determined by its communities. Traditional…

Social and Information Networks · Computer Science 2020-06-30 Swarup Chattopadhyay , Debasis Ganguly

We propose an algorithm for detecting communities of links in networks which uses local information, is based on a new evaluation function, and allows for pervasive overlaps of communities. The complexity of the clustering task requires the…

Social and Information Networks · Computer Science 2016-06-24 Frank Havemann , Jochen Gläser , Michael Heinz

A network is a composition of many communities, i.e., sets of nodes and edges with stronger relationships, with distinct and overlapping properties. Community detection is crucial for various reasons, such as serving as a functional unit of…

Machine Learning · Computer Science 2021-01-19 Isa Inuwa-Dutse , Mark Liptrott , Yannis Korkontzelos

Despite the prevalence of community detection algorithms, relatively less work has been done on understanding whether a network is indeed modular and how resilient the community structure is under perturbations. To address this issue, we…

Physics and Society · Physics 2014-06-11 Tanmoy Chakraborty , Sriram Srinivasan , Niloy Ganguly , Animesh Mukherjee , Sanjukta Bhowmick

Real-world networks usually have community structure, that is, nodes are grouped into densely connected communities. Community detection is one of the most popular and best-studied research topics in network science and has attracted…

Social and Information Networks · Computer Science 2018-09-21 Yunpeng Zhao

Networks are commonly used to model complex systems. The different entities in the system are represented by nodes of the network and their interactions by edges. In most real life systems, the different entities may interact in different…

Social and Information Networks · Computer Science 2024-01-17 Meiby Ortiz-Bouza , Selin Aviyente

We investigate the widely encountered problem of detecting communities in multiplex networks, such as social networks, with an unknown arbitrary heterogeneous structure. To improve detectability, we propose a generative model that leverages…

Social and Information Networks · Computer Science 2019-11-27 Yuming Huang , Ashkan Panahi , Hamid Krim , Liyi Dai

Mixed membership community detection is a challenging problem. In this paper, to detect mixed memberships, we propose a new method Mixed-SLIM which is a spectral clustering method on the symmetrized Laplacian inverse matrix under the…

Machine Learning · Statistics 2024-04-08 Huan Qing , Jingli Wang

The study of time-varying (dynamic) networks (graphs) is of fundamental importance for computer network analytics. Several methods have been proposed to detect the effect of significant structural changes in a time series of graphs. The…

Social and Information Networks · Computer Science 2017-07-25 Peter Wills , Francois G. Meyer

A common and important problem arising in the study of networks is how to divide the vertices of a given network into one or more groups, called communities, in such a way that vertices of the same community are more interconnected than…

Social and Information Networks · Computer Science 2014-12-04 James D. Wilson , Simi Wang , Peter J. Mucha , Shankar Bhamidi , Andrew B. Nobel

Recently, nonnegative matrix factorization (NMF) has been widely adopted for community detection, because of its better interpretability. However, the existing NMF-based methods have the following three problems: 1) they directly transform…

Machine Learning · Computer Science 2024-02-15 Yuecheng Li , Jialong Chen , Chuan Chen , Lei Yang , Zibin Zheng

Community detection is a fundamental task in data analysis, and block models provide an approach for identifying a wide variety of community structures while offering high interpretability. The degree-corrected block model (DCBM) is an…

Social and Information Networks · Computer Science 2026-04-29 Alexandra Dache , Arnaud Vandaele , Nicolas Gillis

Unsupervised node clustering (or community detection) is a classical graph learning task. In this paper, we study algorithms, which exploit the geometry of the graph to identify densely connected substructures, which form clusters or…

Social and Information Networks · Computer Science 2023-07-20 Yu Tian , Zachary Lubberts , Melanie Weber

There has been a surge of interest in community detection in homogeneous single-relational networks which contain only one type of nodes and edges. However, many real-world systems are naturally described as heterogeneous multi-relational…

Social and Information Networks · Computer Science 2014-07-21 Xin Liu , Weichu Liu , Tsuyoshi Murata , Ken Wakita

Community detection is the process of assigning nodes and links in significant communities (e.g. clusters, function modules) and its development has led to a better understanding of complex networks. When applied to sizable networks, we…

Physics and Society · Physics 2015-10-15 Jean-Gabriel Young , Antoine Allard , Laurent Hébert-Dufresne , Louis J. Dubé

Many real world networks consist of multiple types of nodes with edges that are heterogeneous in nature. However, most of the existing work for community detection only focused on homogeneous network consisting of a single layer. In this…

Methodology · Statistics 2017-09-19 Fan Yang , Fengshuo Zhang

Community detection is one of the most active fields in complex networks analysis, due to its potential value in practical applications. Many works inspired by different paradigms are devoted to the development of algorithmic solutions…

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

A canonical problem in graph mining is the detection of dense communities. This problem is exacerbated for a graph with a large order and size -- the number of vertices and edges -- as many community detection algorithms scale poorly. In…

Social and Information Networks · Computer Science 2015-02-17 Heng Wang , Da Zheng , Randal Burns , Carey Priebe

Recently, a phase transition has been discovered in the network community detection problem below which no algorithm can tell which nodes belong to which communities with success any better than a random guess. This result has, however, so…

Social and Information Networks · Computer Science 2016-01-13 Pan Zhang , Cristopher Moore , M. E. J. Newman
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