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Unsupervised node clustering (or community detection) is a classical graph learning task. In this paper, we study algorithms, which exploit the geometry of the graph to identify densely connected substructures, which form clusters or…

Social and Information Networks · Computer Science 2023-07-20 Yu Tian , Zachary Lubberts , Melanie Weber

The analysis and detection of communities in network structures are becoming increasingly relevant for understanding social behavior. One of the principal challenges in this field is the complexity of existing algorithms. The Girvan-Newman…

Social and Information Networks · Computer Science 2024-08-26 Julio-Omar Palacio-Niño , Fernando Berzal

On the basis of network analysis, and within the context of modeling imprecision or vague information with fuzzy sets, we propose an innovative way to analyze, aggregate and apply this uncertain knowledge into community detection of…

Statistics Theory · Mathematics 2024-02-08 Inmaculada Gutiérrez , Daniel Gómez , Javier Castro , Rosa Espínola

Communities play a crucial role to describe and analyse modern networks. However, the size of those networks has grown tremendously with the increase of computational power and data storage. While various methods have been developed to…

Physics and Society · Physics 2013-08-30 Arnaud Browet , P. -A. Absil , Paul Van Dooren

This paper considers a new framework to detect communities in a graph from the observation of signals at its nodes. We model the observed signals as noisy outputs of an unknown network process, represented as a graph filter that is excited…

Social and Information Networks · Computer Science 2019-04-16 Hoi-To Wai , Santiago Segarra , Asuman E. Ozdaglar , Anna Scaglione , Ali Jadbabaie

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

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

In many applications, it is common practice to obtain a network from interaction counts by thresholding each pairwise count at a prescribed value. Our analysis calls attention to the dependence of certain methods, notably Newman--Girvan…

Social and Information Networks · Computer Science 2015-10-01 Harry Crane , Walter Dempsey

We propose a novel distributed algorithm to cluster graphs. The algorithm recovers the solution obtained from spectral clustering without the need for expensive eigenvalue/vector computations. We prove that, by propagating waves through the…

Discrete Mathematics · Computer Science 2015-03-13 Tuhin Sahai , Alberto Speranzon , Andrzej Banaszuk

With the emergence of social networks, online platforms dedicated to different use cases, and sensor networks, the emergence of large-scale graph community detection has become a steady field of research with real-world applications.…

Social and Information Networks · Computer Science 2024-08-09 Elena-Simona Apostol , Adrian-Cosmin Cojocaru , Ciprian-Octavian Truică

Networks in nature possess a remarkable amount of structure. Via a series of data-driven discoveries, the cutting edge of network science has recently progressed from positing that the random graphs of mathematical graph theory might…

Physics and Society · Physics 2008-07-14 Natali Gulbahce , Sune Lehmann

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

Community detection, or clustering, identifies groups of nodes in a graph that are more densely connected to each other than to the rest of the network. Given the size and dynamic nature of real-world graphs, efficient community detection…

Social and Information Networks · Computer Science 2024-10-22 Subhajit Sahu

Community detection in network analysis aims at partitioning nodes in a network into $K$ disjoint communities. Most currently available algorithms assume that $K$ is known, but choosing a correct $K$ is generally very difficult for real…

Methodology · Statistics 2017-07-03 Chong Chen , Ruibin Xi , Nan Lin

We propose a new local, deterministic and parameter-free algorithm that detects fuzzy and crisp overlapping communities in a weighted network and simultaneously reveals their hierarchy. Using a local fitness function, the algorithm greedily…

Data Analysis, Statistics and Probability · Physics 2015-03-17 Frank Havemann , Michael Heinz , Alexander Struck , Jochen Gläser

This paper focuses on two fundamental tasks of graph analysis: community detection and node representation learning, which capture the global and local structures of graphs, respectively. In the current literature, these two tasks are…

Social and Information Networks · Computer Science 2019-09-18 Fan-Yun Sun , Meng Qu , Jordan Hoffmann , Chin-Wei Huang , Jian Tang

Time series of graphs are increasingly prevalent in modern data and pose unique challenges to visual exploration and pattern extraction. This paper describes the development and application of matrix factorizations for exploration and…

Social and Information Networks · Computer Science 2015-06-16 Shawn Mankad , George Michailidis

Community discovery is an important task for graph mining. Owing to the nonstructure, the high dimensionality, and the sparsity of graph data, it is not easy to obtain an appropriate community partition. In this paper, a deep graph…

Social and Information Networks · Computer Science 2021-03-11 Shuliang Xu , Shenglan Liu , Lin Feng

The communities of a social network are sets of vertices with more connections inside the set than outside. We theoretically demonstrate that two commonly observed properties of social networks, heavy-tailed degree distributions and large…

Social and Information Networks · Computer Science 2011-12-02 David Gleich , C. Seshadhri

Examining the community structures within intricate networks is crucial for comprehending their intrinsic dynamics and functionality. The paper presents the Fast Local Move Iterated Greedy (FLMIG) algorithm, a novel method designed to…

Social and Information Networks · Computer Science 2024-06-24 Salaheddine Taibi , Lyazid Toumi , Salim Bouamama