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Community detection based on modularity maximization is one of the most widely used approaches for uncovering mesoscale structures in complex networks. However, it is well known that the modularity function exhibits a highly degenerate…

General Economics · Economics 2026-02-26 Francesca Grassetti , Rossana Mastrandrea

In this article, we consider the problem of community detection in signed networks. We propose SignedLouvain, an adaptation of the Louvain method to maximise signed modularity, efficiently taking advantage of the structure induced by signed…

Social and Information Networks · Computer Science 2024-07-30 John N. Pougué-Biyong , Renaud Lambiotte

Community detection in networks is the process of identifying unusually well-connected sub-networks and is a central component of many applied network analyses. The paradigm of modularity optimization stipulates a partition of the network's…

Applications · Statistics 2017-08-16 Weston D. Viles , A. James O'Malley

Community detection in graphs has been the subject of many algorithms. Recent methods want to optimize a modularity function which shows a maximum of relationships within communities and found a minimum of inter-community relations. these…

Machine Learning · Statistics 2013-07-11 Michel Crampes , Michel Plantié , Marie Lopez

Many algorithms have been proposed for detecting disjoint communities (relatively densely connected subgraphs) in networks. One popular technique is to optimize modularity, a measure of the quality of a partition in terms of the number of…

Physics and Society · Physics 2012-02-03 Bowen Yan , Steve Gregory

Detecting communities in large networks has drawn much attention over the years. While modularity remains one of the more popular methods of community detection, the so-called resolution limit remains a significant drawback. To overcome…

Physics and Society · Physics 2011-08-02 V. A. Traag , P. Van Dooren , Y. Nesterov

Modularity maximization has been one of the most widely used approaches in the last decade for discovering community structure in networks of practical interest in biology, computing, social science, statistical mechanics, and more.…

Physics and Society · Physics 2017-11-10 David Mehrle , Amy Strosser , Anthony Harkin

Modularity maximization is the most popular technique for the detection of community structure in graphs. The resolution limit of the method is supposedly solvable with the introduction of modified versions of the measure, with tunable…

Physics and Society · Physics 2012-02-14 Andrea Lancichinetti , Santo Fortunato

In many networks, it is of great interest to identify "communities", unusually densely knit groups of individuals. Such communities often shed light on the function of the networks or underlying properties of the individuals. Recently,…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Gaurav Agarwal , David Kempe

Graph convolution is a recent scalable method for performing deep feature learning on attributed graphs by aggregating local node information over multiple layers. Such layers only consider attribute information of node neighbors in the…

Machine Learning · Computer Science 2022-07-04 Tsuyoshi Murata , Naveed Afzal

Modularity introduced by Newman and Girvan [Phys. Rev. E 69, 026113 (2004)] is a quality function for community detection. Numerous methods for modularity maximization have been developed so far. In 2007, Barber [Phys. Rev. E 76, 066102…

Social and Information Networks · Computer Science 2015-06-05 Atsushi Miyauchi , Noriyoshi Sukegawa

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

Current approaches to community detection in social networks often ignore the spatial location of the nodes. In this paper, we look to extract spatially-near communities in a social network. We introduce a new metric to measure the quality…

Social and Information Networks · Computer Science 2013-09-12 Joseph Hannigan , Guillermo Hernandez , Richard M. Medina , Patrcik Roos , Paulo Shakarian

Communities are fundamental entities for the characterization of the structure of real networks. The standard approach to the identification of communities in networks is based on the optimization of a quality function known as…

Physics and Society · Physics 2013-07-15 Filippo Radicchi

Modularity is widely used to effectively measure the strength of the community structure found by community detection algorithms. However, modularity maximization suffers from two opposite yet coexisting problems: in some cases, it tends to…

Social and Information Networks · Computer Science 2017-01-02 Mingming Chen , Tommy Nguyen , Boleslaw K. Szymanski

Graph theory provides a powerful framework to investigate brain functional connectivity networks and their modular organization. However, most graph-based methods suffer from a fundamental resolution limit that may have affected previous…

Neurons and Cognition · Quantitative Biology 2016-09-15 Carlo Nicolini , Cécile Bordier , Angelo Bifone

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

Here we propose a new method to compare the modular structure of a pair of node-aligned networks. The majority of current methods, such as normalized mutual information, compare two node partitions derived from a community detection…

Physics and Society · Physics 2020-10-14 Daniel Straulino , Mattie Landman , Neave O'Clery

Modularity, since its introduction, has remained one of the most widely used metrics to assess the quality of community structure in a complex network. However the resolution limit problem associated with modularity limits its applicability…

Physics and Society · Physics 2018-06-13 Tianlong Chen , Pramesh Singh , Kevin E. Bassler

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