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Based on cluster de-synchronization properties of phase oscillators, we introduce an efficient method for the detection and identification of modules in complex networks. The performance of the algorithm is tested on computer generated and…

Physics and Society · Physics 2015-06-26 S. Boccaletti , M. Ivanchenko , V. Latora , A. Pluchino , A. Rapisarda

Networks observed in real world like social networks, collaboration networks etc., exhibit temporal dynamics, i.e. nodes and edges appear and/or disappear over time. In this paper, we propose a generative, latent space based, statistical…

Social and Information Networks · Computer Science 2018-11-08 Shubham Gupta , Gaurav Sharma , Ambedkar Dukkipati

In this paper, we propose DyPerm, the first dynamic community detection method which optimizes a novel community scoring metric, called permanence. DyPerm incrementally modifies the community structure by updating those communities where…

Social and Information Networks · Computer Science 2018-02-14 Prerna Agarwal , Richa Verma , Ayush Agarwal , Tanmoy Chakraborty

Community detection in multi-layer networks has emerged as a crucial area of modern network analysis. However, conventional approaches often assume that nodes belong exclusively to a single community, which fails to capture the complex…

Social and Information Networks · Computer Science 2024-09-13 Huan Qing

Modularity is a very widely used measure of the level of clustering or community structure in networks. Here we consider a recent generalisation of the definition of modularity to temporal graphs, whose edge-sets change over discrete…

Combinatorics · Mathematics 2025-07-24 Vilhelm Agdur , Jessica Enright , Laura Larios-Jones , Kitty Meeks , Fiona Skerman , Ella Yates

In numerous networks, it is vital to identify communities consisting of closely joined groups of individuals. Such communities often reveal the role of the networks or primary properties of the individuals. In this perspective, Newman and…

Social and Information Networks · Computer Science 2025-04-15 Ghazal Ghajari , Hooshang Jazayeri-Rad , Mashalla Abbasi Dezfooli

Community structure is one of the most important features of complex networks. Modularity-based methods for community detection typically rely on heuristic algorithms to optimize a specific community quality function. Such methods are…

Physics and Society · Physics 2022-09-02 Kun Gao , Xuezao Ren , Lei Zhou , Junfang Zhu

Community detection is one of the fundamental problems in the study of network data. Most existing community detection approaches only consider edge information as inputs, and the output could be suboptimal when nodal information is…

Methodology · Statistics 2016-12-13 Haolei Weng , Yang Feng

We propose a new local community detection algorithm that finds communities by identifying borderlines between them using boundary nodes. Our method performs label propagation for community detection, where nodes decide their labels based…

Physics and Society · Physics 2018-10-17 Mursel Tasgin , Haluk O. Bingol

A basic question in network community detection is how modular a given network is. This is usually addressed by evaluating the quality of partitions detected in the network. The Girvan-Newman (GN) modularity function is the standard way to…

Physics and Society · Physics 2022-05-25 Filipi N. Silva , Aiiad Albeshri , Vijey Thayananthan , Wadee Alhalabi , Santo Fortunato

Community is a universal structure in various complex networks, and community detection is a fundamental task for network analysis. With the rapid growth of network scale, networks are massive, changing rapidly and could naturally be…

Social and Information Networks · Computer Science 2021-10-29 Yanhao Yang , Meng Wang , David Bindel , Kun He

Most community detection algorithms from the literature work as optimization tools that minimize a given \textit{fitness function}, while assuming that each node belongs to a single community. Since there is no hard concept of what a…

Neural and Evolutionary Computing · Computer Science 2014-06-11 Fabricio Olivetti de Franca , Guilherme Palermo Coelho

Most methods proposed to uncover communities in complex networks rely on their structural properties. Here we introduce the stability of a network partition, a measure of its quality defined in terms of the statistical properties of a…

Physics and Society · Physics 2015-02-18 R. Lambiotte , J. -C. Delvenne , M. Barahona

Community detection is an important tool for analyzing the social graph of mobile phone users. The problem of finding communities in static graphs has been widely studied. However, since mobile social networks evolve over time, static graph…

Social and Information Networks · Computer Science 2013-12-04 Carlos Sarraute , Gervasio Calderon

Community discovery is one of the most studied problems in network science. In recent years, many works have focused on discovering communities in temporal networks, thus identifying dynamic communities. Interestingly, dynamic communities…

Social and Information Networks · Computer Science 2019-07-29 Remy Cazabet , Giulio Rossetti

Community detection is a well established method for studying the meso scale structure of social networks. Applying a community detection algorithm results in a division of a network into communities that is often used to inspect and reason…

Social and Information Networks · Computer Science 2021-11-22 Dafne E. van Kuppevelt , Rena Bakhshi , Eelke M. Heemskerk , Frank W. Takes

Community structure in networks is observed in many different domains, and unsupervised community detection has received a lot of attention in the literature. Increasingly the focus of network analysis is shifting towards using network…

Methodology · Statistics 2020-03-02 Jesús Arroyo , Elizaveta Levina

Using an intuitive concept of what constitutes a meaningful community, a novel metric is formulated for detecting non-overlapping communities in undirected, weighted heterogeneous networks. This metric, modularity density, is shown to be…

Social and Information Networks · Computer Science 2019-08-23 Swathi M. Mula , Gerardo Veltri

Many complex networks exhibit a modular structure of densely connected groups of nodes. Usually, such a modular structure is uncovered by the optimization of some quality function. Although flawed, modularity remains one of the most popular…

Physics and Society · Physics 2015-09-10 V. A. Traag

We study the structure of loops in networks using the notion of modulus of loop families. We introduce a new measure of network clustering by quantifying the richness of families of (simple) loops. Modulus tries to minimize the expected…

Social and Information Networks · Computer Science 2017-01-25 Heman Shakeri , Pietro Poggi-Corradini , Nathan Albin , Caterina Scoglio