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Clustering analysis has been widely used in trust evaluation on various complex networks such as wireless sensors networks and online social networks. Spectral clustering is one of the most commonly used algorithms for graph-structured data…

Social and Information Networks · Computer Science 2021-12-03 Gang Mei , Jingzhi Tu , Lei Xiao , Francesco Piccialli

Decomposing a graph into a hierarchical structure via $k$-core analysis is a standard operation in any modern graph-mining toolkit. $k$-core decomposition is a simple and efficient method that allows to analyze a graph beyond its mere…

Data Structures and Algorithms · Computer Science 2020-01-16 Nikolaj Tatti

K-core decomposition is a commonly used metric to analyze graph structure or study the relative importance of nodes in complex graphs. Recent years have seen rapid growth in the scale of the graph, especially in industrial settings. For…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-03 Shicheng Gao , Jie Xu , Xiaosen Li , Fangcheng Fu , Wentao Zhang , Wen Ouyang , Yangyu Tao , Bin Cui

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

Graph clustering is a fundamental computational problem with a number of applications in algorithm design, machine learning, data mining, and analysis of social networks. Over the past decades, researchers have proposed a number of…

Data Structures and Algorithms · Computer Science 2017-11-06 He Sun , Luca Zanetti

Massive networks have shown that the determination of dense subgraphs, where vertices interact a lot, is necessary in order to visualize groups of common interest, and therefore be able to decompose a big graph into smaller structures. Many…

Social and Information Networks · Computer Science 2016-04-29 Etienne Callies , Tomás Yany-Anich

Graph clustering is a fundamental technique in data analysis with applications in many different fields. While there is a large body of work on clustering undirected graphs, the problem of clustering directed graphs is much less understood.…

Physics and Society · Physics 2025-01-31 James Martin , Tim Rogers , Luca Zanetti

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

Spectral clustering is one of the most popular methods for community detection in graphs. A key step in spectral clustering algorithms is the eigen decomposition of the $n{\times}n$ graph Laplacian matrix to extract its $k$ leading…

Machine Learning · Statistics 2018-09-10 Muni Sreenivas Pydi , Ambedkar Dukkipati

Graph clustering has many important applications in computing, but due to growing sizes of graphs, even traditionally fast clustering methods such as spectral partitioning can be computationally expensive for real-world graphs of interest.…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-11 Julian Shun , Farbod Roosta-Khorasani , Kimon Fountoulakis , Michael W. Mahoney

Graph clustering is a fundamental computational problem with a number of applications in algorithm design, machine learning, data mining, and analysis of social networks. Over the past decades, researchers have proposed a number of…

Data Structures and Algorithms · Computer Science 2019-04-12 He Sun , Luca Zanetti

The $k$-core decomposition in a graph is a fundamental problem for social network analysis. The problem of $k$-core decomposition is to calculate the core number for every node in a graph. Previous studies mainly focus on $k$-core…

Data Structures and Algorithms · Computer Science 2012-07-20 Rong-Hua Li , Jeffrey Xu Yu

Graph clustering, which aims to divide a graph into several homogeneous groups, is a critical area of study with applications that span various fields such as social network analysis, bioinformatics, and image segmentation. This paper…

Machine Learning · Statistics 2024-07-15 Timothé Watteau , Aubin Bonnefoy , Simon Illouz-Laurent , Joaquim Jusseau , Serge Iovleff

Decomposing hypergraphs is a key task in hypergraph analysis with broad applications in community detection, pattern discovery, and task scheduling. Existing approaches such as $k$-core and neighbor-$k$-core rely on vertex degree…

Social and Information Networks · Computer Science 2026-04-10 Xiaoyu Leng , Hongchao Qin , Rong-Hua Li

(Hyper)Graph decomposition is a family of problems that aim to break down large (hyper)graphs into smaller sub(hyper)graphs for easier analysis. The importance of this lies in its ability to enable efficient computation on large and complex…

Data Structures and Algorithms · Computer Science 2023-08-31 Marcelo Fonseca Faraj

In this paper we study variants of the widely used spectral clustering that partitions a graph into k clusters by (1) embedding the vertices of a graph into a low-dimensional space using the bottom eigenvectors of the Laplacian matrix, and…

Data Structures and Algorithms · Computer Science 2017-02-01 Richard Peng , He Sun , Luca Zanetti

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

We present a structural clustering algorithm for large-scale datasets of small labeled graphs, utilizing a frequent subgraph sampling strategy. A set of representatives provides an intuitive description of each cluster, supports the…

Databases · Computer Science 2016-10-03 Till Schäfer , Petra Mutzel

Graphs or networks are a very convenient way to represent data with lots of interaction. Recently, Machine Learning on Graph data has gained a lot of traction. In particular, vertex classification and missing edge detection have very…

Machine Learning · Computer Science 2020-09-07 Simon Brandeis , Adrian Jarret , Pierre Sevestre

We propose a novel graph clustering method guided by additional information on the underlying structure of the clusters (or communities). The problem is formulated as the matching of a graph to a template with smaller dimension, hence…

Machine Learning · Statistics 2021-07-06 Mateus Riva , Florian Yger , Pietro Gori , Roberto M. Cesar , Isabelle Bloch
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