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Because networks can be used to represent many complex systems, they have attracted considerable attention in physics, computer science, sociology, and many other disciplines. One of the most important areas of network science is the…

Social and Information Networks · Computer Science 2016-11-18 Huiyi Hu , Yves van Gennip , Blake Hunter , Mason A. Porter , Andrea L. Bertozzi

Various attempts have been made in recent years to solve the Resolution Limit (RL) problem in community detection by considering variants of the modularity metric in the detection algorithms. These metrics purportedly largely mitigate the…

Physics and Society · Physics 2021-01-01 Jiahao Guo , Pramesh Singh , Kevin E. Bassler

We present a fast spectral algorithm for community detection in complex networks. Our method searches for the partition with the maximum value of the modularity via the interplay of several refinement steps that include both agglomeration…

Physics and Society · Physics 2015-06-23 Santiago Treviño , Amy Nyberg , Charo I. Del Genio , Kevin E. Bassler

Current modularity-based community detection algorithms attempt to find cluster memberships that maximize modularity within a fixed graph topology. Diverging from this conventional approach, our work introduces a novel strategy that employs…

Data Analysis, Statistics and Probability · Physics 2024-02-27 Yongyu Wang , Shiqi Hao , Xiaoyang Wang , Xiaotian Zhuang

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

We show here that the problem of maximizing a family of quantitative functions, encompassing both the modularity (Q-measure) and modularity density (D-measure), for community detection can be uniformly understood as a combinatoric…

Physics and Society · Physics 2015-05-27 Jonathan Q. Jiang , Lisa J. McQuay

Community structure is a key feature omnipresent in real-world network data. Plethora of methods have been proposed to reveal subsets of densely interconnected nodes using criteria such as the modularity index. These approaches have been…

Social and Information Networks · Computer Science 2026-01-21 Alexandre Cionca , Chun Hei Michael Chan , Dimitri Van De Ville

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

Multi-layer networks are networks on a set of entities (nodes) with multiple types of relations (edges) among them where each type of relation/interaction is represented as a network layer. As with single layer networks, community detection…

Methodology · Statistics 2020-12-10 Subhadeep Paul , Yuguo Chen

Identifying community structure in networks is an issue of particular interest in network science. The modularity introduced by Newman and Girvan [Phys. Rev. E 69, 026113 (2004)] is the most popular quality function for community detection…

Social and Information Networks · Computer Science 2016-01-27 Atsushi Miyauchi , Yasushi Kawase

We describe techniques for the robust detection of community structure in some classes of time-dependent networks. Specifically, we consider the use of statistical null models for facilitating the principled identification of structural…

Data Analysis, Statistics and Probability · Physics 2013-04-16 Danielle S. Bassett , Mason A. Porter , Nicholas F. Wymbs , Scott T. Grafton , Jean M. Carlson , Peter J. Mucha

Revealing a community structure in a network or dataset is a central problem arising in many scientific areas. The modularity function $Q$ is an established measure quantifying the quality of a community, being identified as a set of nodes…

Social and Information Networks · Computer Science 2018-09-13 Francesco Tudisco , Pedro Mercado , Matthias Hein

Communities are clusters of nodes with a higher than average density of internal connections. Their detection is of great relevance to better understand the structure and hierarchies present in a network. Modularity has become a standard…

Physics and Society · Physics 2015-03-17 Filippo Radicchi , Andrea Lancichinetti , José J. Ramasco

The modularity of a network quantifies the extent, relative to a null model network, to which vertices cluster into community groups. We define a null model appropriate for bipartite networks, and use it to define a bipartite modularity.…

Data Analysis, Statistics and Probability · Physics 2007-12-12 Michael J. Barber

Motivated by social network analysis and network-based recommendation systems, we study a semi-supervised community detection problem in which the objective is to estimate the community label of a new node using the network topology and…

Social and Information Networks · Computer Science 2023-06-05 Yicong Jiang , Tracy Ke

In the last few years, there has been a great interest in detecting overlapping communities in complex networks, which is understood as dense groups of nodes featuring a low outbound density. To date, most methods used to compute such…

Social and Information Networks · Computer Science 2011-02-22 Adrien Friggeri , Guillaume Chelius , Eric Fleury

Community detection is an important research topic in complex networks. We present the employment of a genetic algorithm to detect communities in complex networks which is based on optimizing network modularity. It does not need any prior…

Physics and Society · Physics 2007-11-06 Mursel Tasgin , Amac Herdagdelen , Haluk Bingol

The global energy transition towards distributed, smaller-scale resources, such as decentralized generation and flexible assets like storage and shiftable loads, demands novel control structures aligned with the emerging network…

Social and Information Networks · Computer Science 2025-06-25 Philipp Danner , Hermann de Meer

Nodes in real-world networks are repeatedly observed to form dense clusters, often referred to as communities. Methods to detect these groups of nodes usually maximize an objective function, which implicitly contains the definition of a…

Physics and Society · Physics 2015-09-10 V. A. Traag , R. Aldecoa , J-C. Delvenne

We introduce a new algorithm for modularity-based community detection in large networks. The algorithm, which we refer to as a smart local moving algorithm, takes advantage of a well-known local moving heuristic that is also used by other…

Physics and Society · Physics 2015-06-17 Ludo Waltman , Nees Jan van Eck