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Graph clustering is an important technique to understand the relationships between the vertices in a big graph. In this paper, we propose a novel random-walk-based graph clustering method. The proposed method restricts the reach of the…

Social and Information Networks · Computer Science 2016-06-22 Honglei Zhang , Jenni Raitoharju , Serkan Kiranyaz , Moncef Gabbouj

We study large-scale, distributed graph clustering. Given an undirected graph, our objective is to partition the nodes into disjoint sets called clusters. A cluster should contain many internal edges while being sparsely connected to other…

Data Structures and Algorithms · Computer Science 2020-04-28 Michael Hamann , Ben Strasser , Dorothea Wagner , Tim Zeitz

Clustering is a well-known and important problem with numerous applications. The graph-based model is one of the typical cluster models. In the graph model, clusters are generally defined as cliques. However, such an approach might be too…

Data Structures and Algorithms · Computer Science 2017-06-30 Ivan Bliznets , Nikolai Karpov

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

We propose a novel perspective on varied-density clustering for high-dimensional data by framing it as a label propagation process in neighborhood graphs that adapt to local density variations. Our method formally connects density-based…

Machine Learning · Computer Science 2025-08-06 Ninh Pham , Yingtao Zheng , Hugo Phibbs

In this paper, we present a novel way to summarize the structure of large graphs, based on non-parametric estimation of edge density in directed multigraphs. Following coclustering approach, we use a clustering of the vertices, with a…

Social and Information Networks · Computer Science 2015-08-07 Marc Boullé

Clustering algorithms are one of the main analytical methods to detect patterns in unlabeled data. Existing clustering methods typically treat samples in a dataset as points in a metric space and compute distances to group together similar…

Machine Learning · Computer Science 2021-10-12 Tarek Naous , Srinjay Sarkar , Abubakar Abid , James Zou

This paper proposes a simple but effective graph-based agglomerative algorithm, for clustering high-dimensional data. We explore the different roles of two fundamental concepts in graph theory, indegree and outdegree, in the context of…

Computer Vision and Pattern Recognition · Computer Science 2015-03-20 Wei Zhang , Xiaogang Wang , Deli Zhao , Xiaoou Tang

We develop new methods based on graph motifs for graph clustering, allowing more efficient detection of communities within networks. We focus on triangles within graphs, but our techniques extend to other clique motifs as well. Our…

Data Structures and Algorithms · Computer Science 2017-02-07 Charalampos Tsourakakis , Jakub Pachocki , Michael Mitzenmacher

Dynamic graph clustering aims to detect and track time-varying clusters in dynamic graphs, revealing the evolutionary mechanisms of complex real-world dynamic systems. Matrix factorization-based methods are promising approaches for this…

Machine Learning · Computer Science 2025-02-11 Dongyuan Li , Satoshi Kosugi , Ying Zhang , Manabu Okumura , Feng Xia , Renhe Jiang

Finding densely connected subsets of vertices in an unsupervised setting, called clustering or community detection, is one of the fundamental problems in network science. The edge clustering approach instead detects communities by…

Social and Information Networks · Computer Science 2026-03-02 Ryan DeWolfe , François Théberge

Graph partitioning plays a vital role in distributedlarge-scale web graph analytics, such as pagerank and labelpropagation. The quality and scalability of partitioning strategyhave a strong impact on such communication- and…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-04 Deyu Kong , Xike Xie , Zhuoxu Zhang

Connected clustering denotes a family of constrained clustering problems in which we are given a distance metric and an undirected connectivity graph $G$ that can be completely unrelated to the metric. The aim is to partition the $n$…

Data Structures and Algorithms · Computer Science 2025-11-25 Jan Eube , Heiko Röglin

Correlation clustering provides a method for separating the vertices of a signed graph into the optimum number of clusters without specifying that number in advance. The main goal in this type of clustering is to minimize the number of…

Combinatorics · Mathematics 2025-07-15 Leila Parsaei-Majd

Finding dense substructures in a graph is a fundamental graph mining operation, with applications in bioinformatics, social networks, and visualization to name a few. Yet most standard formulations of this problem (like clique, quasiclique,…

Social and Information Networks · Computer Science 2015-03-10 Ahmet Erdem Sariyuce , C. Seshadhri , Ali Pinar , Umit V. Catalyurek

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

In the graph clustering problem with a planted solution, the input is a graph on $n$ vertices partitioned into $k$ clusters, and the task is to infer the clusters from graph structure. A standard assumption is that clusters induce…

Data Structures and Algorithms · Computer Science 2025-11-24 Hendrik Fichtenberger , Michael Kapralov , Ekaterina Kochetkova , Silvio Lattanzi , Davide Mazzali , Weronika Wrzos-Kaminska

Graph clustering is essential in graph analysis for revealing structural patterns and node communities. Despite recent advances in self-supervised contrastive learning that have improved clustering via structural and attribute signals,…

Machine Learning · Computer Science 2026-05-28 Lei Zhang , Fubo Sun , Haipeng Yang , Zhong Guan , Likang Wu

We study clustering on graphs with multiple edge types. Our main motivation is that similarities between objects can be measured in many different metrics. For instance similarity between two papers can be based on common authors, where…

Social and Information Networks · Computer Science 2011-09-09 Matthew Rocklin , Ali Pinar

A clustering algorithm partitions a set of data points into smaller sets (clusters) such that each subset is more tightly packed than the whole. Many approaches to clustering translate the vector data into a graph with edges reflecting a…

Geometric Topology · Mathematics 2012-06-06 Jesse Johnson