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Graph clustering has many important applications in computing, but due to the increasing sizes of graphs, even traditionally fast clustering methods can be computationally expensive for real-world graphs of interest. Scalability problems…

Social and Information Networks · Computer Science 2018-10-18 Kimon Fountoulakis , David F. Gleich , Michael W. Mahoney

Graph clustering, or community detection, is the task of identifying groups of closely related objects in a large network. In this paper we introduce a new community-detection framework called LambdaCC that is based on a specially weighted…

Data Structures and Algorithms · Computer Science 2018-07-17 Nate Veldt , David Gleich , Anthony Wirth

Spectral clustering has become a popular technique due to its high performance in many contexts. It comprises three main steps: create a similarity graph between N objects to cluster, compute the first k eigenvectors of its Laplacian matrix…

Data Structures and Algorithms · Computer Science 2016-05-24 Nicolas Tremblay , Gilles Puy , Remi Gribonval , Pierre Vandergheynst

The most commonly used method to tackle the graph partitioning problem in practice is the multilevel approach. During a coarsening phase, a multilevel graph partitioning algorithm reduces the graph size by iteratively contracting nodes and…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-03-26 Henning Meyerhenke , Peter Sanders , Christian Schulz

Clustering is a fundamental task in data analysis, and spectral clustering has been recognized as a promising approach to it. Given a graph describing the relationship between data, spectral clustering explores the underlying cluster…

Machine Learning · Computer Science 2021-09-08 Tomohiko Mizutani

Spectral clustering approaches have led to well-accepted algorithms for finding accurate clusters in a given dataset. However, their application to large-scale datasets has been hindered by computational complexity of eigenvalue…

Machine Learning · Computer Science 2016-03-17 Shahzad Bhatti , Carolyn Beck , Angelia Nedic

Given entities and their interactions in the web data, which may have occurred at different time, how can we find communities of entities and track their evolution? In this paper, we approach this important task from graph clustering…

Social and Information Networks · Computer Science 2023-03-29 Namyong Park , Ryan Rossi , Eunyee Koh , Iftikhar Ahamath Burhanuddin , Sungchul Kim , Fan Du , Nesreen Ahmed , Christos Faloutsos

In this paper, we investigate the parallelization of $k$-core decomposition, a method used in graph analysis to identify cohesive substructures and assess node centrality. Although efficient sequential algorithms exist for this task, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-02 Davide Rucci , Sebastian Parfeniuc , Matteo Mordacchini , Emanuele Carlini , Alfredo Cuzzocrea , Patrizio Dazzi

A popular graph clustering method is to consider the embedding of an input graph into R^k induced by the first k eigenvectors of its Laplacian, and to partition the graph via geometric manipulations on the resulting metric space. Despite…

Data Structures and Algorithms · Computer Science 2018-09-13 Tamal K. Dey , Pan Peng , Alfred Rossi , Anastasios Sidiropoulos

Hypergraphs provide a powerful framework for modeling complex systems and networks with higher-order interactions beyond simple pairwise relationships. However, graph-based clustering approaches, which focus primarily on pairwise relations,…

Social and Information Networks · Computer Science 2025-07-16 Giuseppe F. Italiano , Athanasios L. Konstantinidis , Anna Mpanti , Fariba Ranjbar

Graph clustering involves the task of dividing nodes into clusters, so that the edge density is higher within clusters as opposed to across clusters. A natural, classic and popular statistical setting for evaluating solutions to this…

Machine Learning · Statistics 2016-11-17 Yudong Chen , Sujay Sanghavi , Huan Xu

Local graph clustering is an important algorithmic technique for analysing massive graphs, and has been widely applied in many research fields of data science. While the objective of most (local) graph clustering algorithms is to find a…

Data Structures and Algorithms · Computer Science 2021-06-10 Peter Macgregor , He Sun

Clustering is a common technique for statistical data analysis, Clustering is the process of grouping the data into classes or clusters so that objects within a cluster have high similarity in comparison to one another, but are very…

Machine Learning · Computer Science 2012-03-12 T Soni Madhulatha

Graph clustering is a basic technique in machine learning, and has widespread applications in different domains. While spectral techniques have been successfully applied for clustering undirected graphs, the performance of spectral…

Machine Learning · Computer Science 2019-08-07 Mihai Cucuringu , Huan Li , He Sun , Luca Zanetti

Modern graph or network datasets often contain rich structure that goes beyond simple pairwise connections between nodes. This calls for complex representations that can capture, for instance, edges of different types as well as so-called…

Social and Information Networks · Computer Science 2020-02-19 Ilya Amburg , Nate Veldt , Austin R. Benson

This article presents an efficient hierarchical clustering algorithm that solves the problem of core community detection. It is a variant of the standard community detection problem in which we are particularly interested in the connected…

Social and Information Networks · Computer Science 2015-09-01 J. Creusefond , T. Largillier , S. Peyronnet

Graph clustering is an unsupervised machine learning method that partitions the nodes in a graph into different groups. Despite achieving significant progress in exploiting both attributed and structured data information, graph clustering…

Machine Learning · Computer Science 2025-01-03 Rui Zhang , Xiaoyang Hou , Zhihua Tian , Yan he , Enchao Gong , Jian Liu , Qingbiao Wu , Kui Ren

Given an undirected graph, the $k$-core is a subgraph in which each node has at least $k$ connections. This is widely used in graph analytics to identify core subgraphs within a larger graph. The sequential $k$-core decomposition algorithm…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-03 Bin Guo , Runze Zhao

This paper proposes efficient solutions for $k$-core decomposition with high parallelism. The problem of $k$-core decomposition is fundamental in graph analysis and has applications across various domains. However, existing algorithms face…

Data Structures and Algorithms · Computer Science 2025-03-25 Youzhe Liu , Xiaojun Dong , Yan Gu , Yihan Sun

The modern science of networks has brought significant advances to our understanding of complex systems. One of the most relevant features of graphs representing real systems is community structure, or clustering, i. e. the organization of…

Physics and Society · Physics 2010-09-17 Santo Fortunato