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Community detection, also known as graph partitioning, is a well-known NP-hard combinatorial optimization problem with applications in diverse fields such as complex network theory, transportation, and smart power grids. The problem's…

Optimization and Control · Mathematics 2025-01-03 Wei Li , Yi-Lun Du , Nan Su , Konrad Tywoniuk , Kyle Godbey , Horst Stöcker

In this work we address the problem of detecting overlapping communities in social networks. Because the word "community" is an ambiguous term, it is necessary to quantify what it means to be a community within the context of a particular…

Social and Information Networks · Computer Science 2015-01-23 Michael Brutz , Francois G. Meyer

The characterization of network community structure has profound implications in several scientific areas. Therefore, testing the algorithms developed to establish the optimal division of a network into communities is a fundamental problem…

Physics and Society · Physics 2013-08-02 Rodrigo Aldecoa , Ignacio Marín

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

The joint use of node features and network topology to detect communities is called community detection in attributed networks. Most of the existing work along this line has been carried out through objective function optimization and has…

Social and Information Networks · Computer Science 2022-07-12 Guangliang Gao , Weichao Liang , Ming Yuan , Hanwei Qian , Qun Wang , Jie Cao

The problem of community detection is relevant in many disciplines of science and modularity optimization is the widely accepted method for this purpose. It has recently been shown that this approach presents a resolution limit by which it…

Physics and Society · Physics 2015-05-13 A. D. Medus , C. O. Dorso

Community detection is a fundamental statistical problem in network data analysis. Many algorithms have been proposed to tackle this problem. Most of these algorithms are not guaranteed to achieve the statistical optimality of the problem,…

Statistics Theory · Mathematics 2015-10-06 Chao Gao , Zongming Ma , Anderson Y. Zhang , Harrison H. Zhou

In this paper, we proposed a novel two-stage optimization method for network community partition, which is based on inherent network structure information. The introduced optimization approach utilizes the new network centrality measure of…

Social and Information Networks · Computer Science 2019-07-16 Yiguang Bai , Sanyang Liu , Ke Yin , Jing Yuan

We investigate the possibility of global optimization-based overlapping community detection, using link community framework. We first show that partition density, the original quality function used in link community detection method, is not…

Physics and Society · Physics 2017-10-11 Juyong Lee , Zhong-Yuan Zhang , Jooyoung Lee , Bernard R. Brooks , Yong-Yeol Ahn

Community detection, a vital technology for real-world applications, uncovers cohesive node groups (communities) by leveraging both topological and attribute similarities in social networks. However, existing Graph Convolutional Networks…

Social and Information Networks · Computer Science 2025-05-16 Anjali de Silva , Gang Chen , Hui Ma , Seyed Mohammad Nekooei , Xingquan Zuo

Hypergraphs, describing networks where interactions take place among any number of units, are a natural tool to model many real-world social and biological systems. In this work we propose a principled framework to model the organization of…

Social and Information Networks · Computer Science 2023-10-25 Nicolò Ruggeri , Martina Contisciani , Federico Battiston , Caterina De Bacco

We demonstrate an exact equivalence between two widely used methods of community detection in networks, the method of modularity maximization in its generalized form which incorporates a resolution parameter controlling the size of the…

Social and Information Networks · Computer Science 2016-11-24 M. E. J. Newman

Communities are not static; they evolve, split and merge, appear and disappear, i.e. they are product of dynamical processes that govern the evolution of the network. A good algorithm for community detection should not only quantify the…

Physics and Society · Physics 2011-11-24 Angel Stanoev , Daniel Smilkov , Ljupco Kocarev

In this paper, we aim to develop distributed continuous-time algorithms over directed graphs to seek the Nash equilibrium in a noncooperative game. Motivated by the recent consensus-based designs, we present a distributed algorithm with a…

Optimization and Control · Mathematics 2022-04-19 Yutao Tang , Peng Yi , Yanqiong Zhang , Dawei Liu

Complex networks tend to display communities which are groups of nodes cohesively connected among themselves in one group and sparsely connected to the remainder of the network. Detecting such communities is an important computational…

Computer Science and Game Theory · Computer Science 2021-02-02 Elham Havvaei , Narsingh Deo

Communities typically capture homophily as people of the same community share many common features. This paper is motivated by the problem of community detection in social networks, as it can help improve our understanding of the network…

Computer Science and Game Theory · Computer Science 2017-09-01 Radhika Arava

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

Community detection algorithms have been widely used to study the organization of complex systems like the brain. A principal appeal of these techniques is their ability to identify a partition of brain regions (or nodes) into communities,…

Neurons and Cognition · Quantitative Biology 2017-04-20 Arian Ashourvan , Qawi K. Telesford , Timothy Verstynen , Jean M. Vettel , Danielle S. Bassett

Social utility maximization refers to the process of allocating resources in such a way that the sum of agents' utilities is maximized under the system constraints. Such allocation arises in several problems in the general area of…

Computer Science and Game Theory · Computer Science 2015-03-10 Abhinav Sinha , Achilleas Anastasopoulos

This paper aims to design a distributed coordination algorithm for solving a multi-agent decision problem with a hierarchical structure. The primary goal is to search the Nash equilibrium of a noncooperative game such that each player has…

Optimization and Control · Mathematics 2022-05-17 Xiaoyu Ma , Jinlong Lei , Peng Yi , Jie Chen