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Community and cluster detection is a popular field of social network analysis. Most algorithms focus on static graphs or series of snapshots. In this paper we present an algorithm, which detects communities in dynamic graphs. The method is…

Social and Information Networks · Computer Science 2016-01-26 Pascal Held , Rudolf Kruse

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

We consider the community recovery problem on a one-dimensional random geometric graph where every node has two independent labels: an observed location label and a hidden community label. A geometric kernel maps the locations of pairs of…

Probability · Mathematics 2026-03-17 Konstantin Avrachenkov , B. R. Vinay Kumar , Lasse Leskelä

Community detection and edge prediction are both forms of link mining: they are concerned with discovering the relations between vertices in networks. Some of the vertex similarity measures used in edge prediction are closely related to the…

Physics and Society · Physics 2015-06-03 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…

Statistical Mechanics · Physics 2009-11-10 M. E. J. Newman , M. Girvan

Community detection for unweighted networks has been widely studied in network analysis, but the case of weighted networks remains a challenge. This paper proposes a general Distribution-Free Model (DFM) for weighted networks in which nodes…

Social and Information Networks · Computer Science 2023-02-14 Huan Qing

Spectral clustering is a popular method for community detection in network graphs: starting from a matrix representation of the graph, the nodes are clustered on a low dimensional projection obtained from a truncated spectral decomposition…

Machine Learning · Statistics 2022-08-10 Francesco Sanna Passino , Nicholas A. Heard , Patrick Rubin-Delanchy

Uncovering the community structure exhibited by real networks is a crucial step towards an understanding of complex systems that goes beyond the local organization of their constituents. Many algorithms have been proposed so far, but none…

Physics and Society · Physics 2010-09-17 Andrea Lancichinetti , Santo Fortunato

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 degree-corrected distribution-free model is proposed for weighted social networks with latent structural information. The model extends the previous distribution-free models by considering variation in node degree to fit real-world…

Social and Information Networks · Computer Science 2024-04-08 Huan Qing

We develop an algorithm to detect community structure in complex networks. The algorithm is based on spectral methods and takes into account weights and links orientations. Since the method detects efficiently clustered nodes in large…

Disordered Systems and Neural Networks · Physics 2009-11-10 Andrea Capocci , Vito D. P. Servedio , Guido Caldarelli , Francesca Colaiori

Community detection in multi-layer networks has emerged as a crucial area of modern network analysis. However, conventional approaches often assume that nodes belong exclusively to a single community, which fails to capture the complex…

Social and Information Networks · Computer Science 2024-09-13 Huan Qing

Most of the current complex networks that are of interest to practitioners possess a certain community structure that plays an important role in understanding the properties of these networks. Moreover, many machine learning algorithms and…

Social and Information Networks · Computer Science 2021-02-17 Bogumił Kamiński , Paweł Prałat , François Théberge

Motivated by social network analysis and network-based recommendation systems, we study a semi-supervised community detection problem in which the objective is to estimate the community label of a new node using the network topology and…

Social and Information Networks · Computer Science 2023-06-05 Yicong Jiang , Tracy Ke

Graph Neural Networks (GNNs) are powerful models that can manage complex data sources and their interconnection links. One of GNNs' main drawbacks is their lack of interpretability, which limits their application in sensitive fields. In…

Machine Learning · Computer Science 2026-03-24 Salvatore Calderaro , Domenico Amato , Giosuè Lo Bosco , Riccardo Rizzo , Filippo Vella

We present a probabilistic generative model and efficient algorithm to model reciprocity in directed networks. Unlike other methods that address this problem such as exponential random graphs, it assigns latent variables as community…

Social and Information Networks · Computer Science 2022-09-07 Hadiseh Safdari , Martina Contisciani , Caterina De Bacco

Community detection in social network graphs plays a vital role in uncovering group dynamics, influence pathways, and the spread of information. Traditional methods focus primarily on graph structural properties, but recent advancements in…

Social and Information Networks · Computer Science 2025-08-01 Ekta Gujral , Apurva Sinha

Many complex systems can be represented as networks, and how a network breaks up into subnetworks or communities is of wide interest. However, the development of a method to detect nodes important to communities that is both fast and…

Physics and Society · Physics 2015-05-27 Yang Wang , Zengru Di , Ying Fan

Community detection is a fundamental problem in machine learning. While deep learning has shown great promise in many graphrelated tasks, developing neural models for community detection has received surprisingly little attention. The few…

Machine Learning · Computer Science 2019-09-27 Oleksandr Shchur , Stephan Günnemann

Anomaly detection algorithms are a valuable tool in network science for identifying unusual patterns in a network. These algorithms have numerous practical applications, including detecting fraud, identifying network security threats, and…

Social and Information Networks · Computer Science 2023-09-22 Hadiseh Safdari , Martina Contisciani , Caterina De Bacco