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Detecting clusters or communities in large real-world graphs such as large social or information networks is a problem of considerable interest. In practice, one typically chooses an objective function that captures the intuition of a…

Data Structures and Algorithms · Computer Science 2010-04-21 Jure Leskovec , Kevin J. Lang , Michael W. Mahoney

Various types of promising techniques have come into being for influence maximization whose aim is to identify influential nodes in complex networks. In essence, real-world applications usually have high requirements on the balance between…

Social and Information Networks · Computer Science 2024-09-24 Yi Liu , Xiaoan Tang , Witold Pedrycz , Qiang Zhang

We develop an algorithm to detect community structure in complex networks. The algorithm is based on spectral methods and takes into account weights and links orientations. Since the method detects efficiently clustered nodes in large…

Disordered Systems and Neural Networks · Physics 2009-11-10 Andrea Capocci , Vito D. P. Servedio , Guido Caldarelli , Francesca Colaiori

According to the structural balance theory, a signed graph is considered structurally balanced when it can be partitioned into a number of modules such that positive and negative edges are respectively located inside and between the…

Optimization and Control · Mathematics 2023-05-18 Nejat Arinik , Vincent Labatut , Rosa Figueiredo

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 detection is considered as a fundamental task in analyzing social networks. Even though many techniques have been proposed for community detection, most of them are based exclusively on the connectivity structures. However, there…

Social and Information Networks · Computer Science 2019-12-25 Hadi Zare , Mahdi Hajiabadi , Mahdi Jalili

It is often of interest to find communities in network data for unsupervised learning, feature discovery, anomaly detection, or scientific study. The vast majority of community detection methods proceed via optimization of a quality…

Methodology · Statistics 2018-11-20 John Palowitch

Counting triangles in a graph and incident to each vertex is a fundamental and frequently considered task of graph analysis. We consider how to efficiently do this for huge graphs using massively parallel distributed-memory machines.…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-24 Peter Sanders , Tim Niklas Uhl

Identifying the sets of operations that can be executed simultaneously is an important problem appearing in many parallel applications. By modeling the operations and their interactions as a graph, one can identify the independent…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-07-28 Ahmet Erdem Sarıyüce , Erik Saule , Ümit V. Çatalyürek

Community detection has arisen as one of the most relevant topics in the field of graph data mining due to its importance in many fields such as biology, social networks or network traffic analysis. The metrics proposed to shape communities…

Social and Information Networks · Computer Science 2012-07-27 Arnau Prat-Pérez , David Dominguez-Sal , Josep M. Brunat , Josep-Lluis Larriba-Pey

Convolutional Neural Networks (CNNs) have gained a remarkable success on many image classification tasks in recent years. However, the performance of CNNs highly relies upon their architectures. For most state-of-the-art CNNs, their…

Neural and Evolutionary Computing · Computer Science 2020-03-30 Yanan Sun , Bing Xue , Mengjie Zhang , Gary G. Yen

Community structure is of paramount importance for the understanding of complex networks. Consequently, there is a tremendous effort in order to develop efficient community detection algorithms. Unfortunately, the issue of a fair assessment…

Social and Information Networks · Computer Science 2017-11-28 Jebabli Malek , Cherifi Hocine , Cherifi Chantal , Hamouda Atef

The randomized technique of color coding is behind state-of-the-art algorithms for estimating graph motif counts. Those algorithms, however, are not yet capable of scaling well to very large graphs with billions of edges. In this paper we…

Databases · Computer Science 2019-06-05 Marco Bressan , Stefano Leucci , Alessandro Panconesi

We study a variation of the graph colouring problem on random graphs of finite average connectivity. Given the number of colours, we aim to maximise the number of different colours at neighbouring vertices (i.e. one edge distance) of any…

Statistical Mechanics · Physics 2009-11-11 S. Bounkong , J. van Mourik , D. Saad

Algorithms for community detection are usually stochastic, leading to different partitions for different choices of random seeds. Consensus clustering has proven to be an effective technique to derive more stable and accurate partitions…

Physics and Society · Physics 2019-04-23 Aditya Tandon , Aiiad Albeshri , Vijey Thayananthan , Wadee Alhalabi , Santo Fortunato

There has been considerable recent interest in algorithms for finding communities in networks - groups of vertex within which connections are dense (frequent), but between which connections are sparser (rare). Most of the current literature…

Social and Information Networks · Computer Science 2014-02-07 Adrien Ickowicz

Network community detection often relies on optimizing partition quality functions, like modularity. This optimization appears to be a complex problem traditionally relying on discrete heuristics. And although the problem could be…

Social and Information Networks · Computer Science 2021-03-04 Stanislav Sobolevsky

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

Community detection is crucial in data mining. Traditional methods primarily focus on graph structure, often neglecting the significance of attribute features. In contrast, deep learning-based approaches incorporate attribute features and…

Social and Information Networks · Computer Science 2025-11-11 Hong Wang , Yinglong Zhang , Zhangqi Zhao , Zhicong Cai , Xuewen Xia , Xing Xu

Signed graphs serve as a primary tool for modelling social networks. They can represent relationships between individuals (i.e., nodes) with the use of signed edges. Finding communities in a signed graph is of great importance in many…

Quantum Physics · Physics 2019-01-16 Ehsan Zahedinejad , Daniel Crawford , Clemens Adolphs , Jaspreet S. Oberoi