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In this paper, we propose a novel parallel hierarchical Leiden-based algorithm for dynamic community detection. The algorithm, for a given batch update of edge insertions and deletions, partitions the network into communities using only a…

Social and Information Networks · Computer Science 2025-02-27 Grigoriy Bokov , Aleksandr Konovalov , Anna Uporova , Stanislav Moiseev , Ivan Safonov , Alexander Radionov

This paper proposes a distributed pseudo-likelihood method (DPL) to conveniently identify the community structure of large-scale networks. Specifically, we first propose a block-wise splitting method to divide large-scale network data into…

Methodology · Statistics 2024-11-05 Jiayi Deng , Danyang Huang , Bo Zhang

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

Community structure analysis is a powerful tool for social networks, which can simplify their topological and functional analysis considerably. However, since community detection methods have random factors and real social networks obtained…

Physics and Society · Physics 2015-05-11 Hui-Jia Li , J J. Daniels

Dynamic heterogeneous networks describe the temporal evolution of interactions among nodes and edges of different types. While there is a rich literature on finding communities in dynamic networks, the application of these methods to…

Computation · Statistics 2022-11-01 Maoyu Zhang , Jingfei Zhang , Wenlin Dai

The widespread relevance of increasingly complex networks requires methods to extract meaningful coarse-grained representations of such systems. For undirected graphs, standard community detection methods use criteria largely based on…

Physics and Society · Physics 2010-12-14 Kathryn Cooper , Mauricio Barahona

We present a novel approach to partitioning network nodes into non-overlapping communities - a key step in revealing network modularity and hierarchical organization. Our methodology, applicable to networks with both weighted and unweighted…

Physics and Society · Physics 2022-02-24 Aditya Ballal , Willow B. Kion-Crosby , Alexandre V. Morozov

The "clumpiness" matrix of a network is used to develop a method to identify its community structure. A "projection space" is constructed from the eigenvectors of the clumpiness matrix and a border line is defined using some kind of angular…

Physics and Society · Physics 2015-05-28 Ali Faqeeh , Keivan Aghababaei Samani

A precise definition of what constitutes a community in networks has remained elusive. Consequently, network scientists have compared community detection algorithms on benchmark networks with a particular form of community structure and…

Social and Information Networks · Computer Science 2020-05-08 Martin Rosvall , Jean-Charles Delvenne , Michael T. Schaub , Renaud Lambiotte

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

Heterogeneous networks are networks consisting of different types of nodes and multiple types of edges linking such nodes. While community detection has been extensively developed as a useful technique for analyzing networks that contain…

Social and Information Networks · Computer Science 2018-03-23 Jingfei Zhang , Yuguo Chen

We propose a general form of community detecting functions for finding the communities or the optimal partition of a random network, and examine the concentration and stability of the function values using the bounded difference martingale…

Probability · Mathematics 2012-03-28 Weituo Zhang , Chjan C. Lim

Modular and hierarchical community structures are pervasive in real-world complex systems. A great deal of effort has gone into trying to detect and study these structures. Important theoretical advances in the detection of modular have…

Social and Information Networks · Computer Science 2023-06-01 Michael T. Schaub , Jiaze Li , Leto Peel

In principle, higher-order networks that have multiple edge types are more informative than their lower-order counterparts. In practice, however, excessively rich information may be algorithmically infeasible to extract. It requires an…

Social and Information Networks · Computer Science 2017-10-25 Tatsuro Kawamoto

Community detection, a fundamental task for network analysis, aims to partition a network into multiple sub-structures to help reveal their latent functions. Community detection has been extensively studied in and broadly applied to many…

Social and Information Networks · Computer Science 2021-08-17 Di Jin , Zhizhi Yu , Pengfei Jiao , Shirui Pan , Dongxiao He , Jia Wu , Philip S. Yu , Weixiong Zhang

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 is an important tool for exploring and classifying the properties of large complex networks and should be of great help for spatial networks. Indeed, in addition to their location, nodes in spatial networks can have…

Physics and Society · Physics 2012-06-01 Federica Cerina , Vincenzo De Leo , Marc Barthelemy , Alessandro Chessa

We consider the problem of community detection from observed interactions between individuals, in the context where multiple types of interaction are possible. We use labelled stochastic block models to represent the observed data, where…

Social and Information Networks · Computer Science 2012-09-14 Simon Heimlicher , Marc Lelarge , Laurent Massoulié

We present a new layout algorithm for complex networks that combines a multi-scale approach for community detection with a standard force-directed design. Since community detection is computationally cheap, we can exploit the multi-scale…

Physics and Society · Physics 2015-03-13 Oliver Dürr , Arnd Brandenburg

Modularity based community detection encompasses a number of widely used, efficient heuristics for identification of structure in networks. Recently, a belief propagation approach to modularity optimization provided a useful guide for…

Social and Information Networks · Computer Science 2021-03-22 William H. Weir , Benjamin Walker , Lenka Zdeborová , Peter J. Mucha
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