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A widely-used operation on graphs is local clustering, i.e., extracting a well-characterized community around a seed node without the need to process the whole graph. Recently local motif clustering has been proposed: it looks for a local…

Social and Information Networks · Computer Science 2022-05-13 Adil Chhabra , Marcelo Fonseca Faraj , Christian Schulz

Local clustering aims at extracting a local structure inside a graph without the necessity of knowing the entire graph structure. As the local structure is usually small in size compared to the entire graph, one can think of it as a…

Machine Learning · Computer Science 2024-08-20 Zhaiming Shen , Ming-Jun Lai , Sheng Li

In this paper we introduce a new clustering technique called Regularity Clustering. This new technique is based on the practical variants of the two constructive versions of the Regularity Lemma, a very useful tool in graph theory. The…

Combinatorics · Mathematics 2012-10-01 Gábor N. Sárközy , Fei Song , Endre Szemerédi , Shubhendu Trivedi

Graph algorithms are central to large-scale applications such as navigation systems, social networks, and data analysis platforms. This thesis studies two important challenges in such systems: robustness to failures and fairness in…

Data Structures and Algorithms · Computer Science 2026-05-21 Kushagra Chatterjee

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

Flow-based methods for local graph clustering have received significant recent attention for their theoretical cut improvement and runtime guarantees. In this work we present two improvements for using flow-based methods in real-world…

Social and Information Networks · Computer Science 2019-03-26 Nate Veldt , Christine Klymko , David Gleich

The present paper is devoted to clustering geometric graphs. While the standard spectral clustering is often not effective for geometric graphs, we present an effective generalization, which we call higher-order spectral clustering. It…

Machine Learning · Computer Science 2021-03-16 Konstantin Avrachenkov , Andrei Bobu , Maximilien Dreveton

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

Graph clustering is a fundamental and challenging task in the field of graph mining where the objective is to group the nodes into clusters taking into consideration the topology of the graph. It has several applications in diverse domains…

Machine Learning · Computer Science 2023-12-21 Aritra Bhowmick , Mert Kosan , Zexi Huang , Ambuj Singh , Sourav Medya

Cluster analysis, or clustering, plays a crucial role across numerous scientific and engineering domains. Despite the wealth of clustering methods proposed over the past decades, each method is typically designed for specific scenarios and…

Methodology · Statistics 2026-01-22 Siyi Wang , Alexandre Leblanc , Paul D. McNicholas

Graph clustering (or community detection) has long drawn enormous attention from the research on web mining and information networks. Recent literature on this topic has reached a consensus that node contents and link structures should be…

Social and Information Networks · Computer Science 2017-12-25 Carl Yang , Mengxiong Liu , Zongyi Wang , Liyuan Liu , Jiawei Han

Graph clustering or community detection constitutes an important task for investigating the internal structure of graphs, with a plethora of applications in several domains. Traditional techniques for graph clustering, such as spectral…

Current modularity-based community detection algorithms attempt to find cluster memberships that maximize modularity within a fixed graph topology. Diverging from this conventional approach, our work introduces a novel strategy that employs…

Data Analysis, Statistics and Probability · Physics 2024-02-27 Yongyu Wang , Shiqi Hao , Xiaoyang Wang , Xiaotian Zhuang

Federated clustering addresses the critical challenge of extracting patterns from decentralized, unlabeled data. However, it is hampered by the flaw that current approaches are forced to accept a compromise between performance and privacy:…

Machine Learning · Computer Science 2025-11-17 Guanxiong He , Jie Wang , Liaoyuan Tang , Zheng Wang , Rong Wang , Feiping Nie

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 study, we address the complex issue of graph clustering in signed graphs, which are characterized by positive and negative weighted edges representing attraction and repulsion among nodes, respectively. The primary objective is to…

Data Structures and Algorithms · Computer Science 2024-07-10 Felix Hausberger , Marcelo Fonseca Faraj , Christian Schulz

Semi-supervised clustering is a basic problem in various applications. Most existing methods require knowledge of the ideal cluster number, which is often difficult to obtain in practice. Besides, satisfying the must-link constraints is…

Optimization and Control · Mathematics 2025-03-07 Wei Liu , Xin Liu , Michael K. Ng , Zaikun Zhang

Attributed graph clustering is challenging as it requires joint modelling of graph structures and node attributes. Recent progress on graph convolutional networks has proved that graph convolution is effective in combining structural and…

Machine Learning · Computer Science 2019-06-05 Xiaotong Zhang , Han Liu , Qimai Li , Xiao-Ming Wu

We present a graph-theoretical approach to data clustering, which combines the creation of a graph from the data with Markov Stability, a multiscale community detection framework. We show how the multiscale capabilities of the method allow…

Information Retrieval · Computer Science 2020-01-14 Zijing Liu , Mauricio Barahona

This paper investigates graph clustering in the planted cluster model in the presence of {\em small clusters}. Traditional results dictate that for an algorithm to provably correctly recover the clusters, {\em all} clusters must be…

Machine Learning · Computer Science 2013-02-21 Nir Ailon , Yudong Chen , Xu Huan