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Due to nowadays networks' sizes, the evaluation of a community detection algorithm can only be done using quality functions. These functions measure different networks/graphs structural properties, each of them corresponding to a different…

Social and Information Networks · Computer Science 2016-01-28 Jean Creusefond , Thomas Largillier , Sylvain Peyronnet

This work will appear as a chapter in a forthcoming volume titled `Topics in Probabilistic Graph Theory'. For a given graph $G$, each partition of the vertices has a modularity score, with higher values indicating that the partition better…

Probability · Mathematics 2025-09-29 Colin McDiarmid , Fiona Skerman

A multiplex network models different modes of interaction among same-type entities. In this article we provide a taxonomy of community detection algorithms in multiplex networks. We characterize the different algorithms based on various…

Social and Information Networks · Computer Science 2021-01-21 Matteo Magnani , Obaida Hanteer , Roberto Interdonato , Luca Rossi , Andrea Tagarelli

In signal processing, exploring complex systems through network representations has become an area of growing interest. This study introduces the modularity graph, a new graph-based feature, to highlight the relationship across the graph…

Neurons and Cognition · Quantitative Biology 2024-10-23 Tiziana Cattai , Camilla Caporali , Marie-Constance Corsi , Stefania Colonnese

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

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 develop an algorithm to detect community structure in complex networks. The algorithm is based on spectral methods and takes into account weights and links orientations. Since the method detects efficiently clustered nodes in large…

Disordered Systems and Neural Networks · Physics 2009-11-10 Andrea Capocci , Vito D. P. Servedio , Guido Caldarelli , Francesca Colaiori

Community structure detection in complex networks is important since it can help better understand the network topology and how the network works. However, there is still not a clear and widely-accepted definition of community structure,…

Social and Information Networks · Computer Science 2013-05-14 Zhong-Yuan Zhang , Kai-Di Sun , Si-Qi Wang

Community detection is a central task in graph analytics. Given the substantial growth in graph size, scalability in community detection continues to be an unresolved challenge. Recently, alongside established methods like Louvain and…

Social and Information Networks · Computer Science 2024-12-18 Tianyi Chen , Charalampos E. Tsourakakis

Many social networks and complex systems are found to be naturally divided into clusters of densely connected nodes, known as community structure (CS). Finding CS is one of fundamental yet challenging topics in network science. One of the…

Social and Information Networks · Computer Science 2016-02-03 Thang N. Dinh , Xiang Li , My T. Thai

Community detection in networks is one of the most popular topics of modern network science. Communities, or clusters, are usually groups of vertices having higher probability of being connected to each other than to members of other…

Physics and Society · Physics 2016-11-04 Santo Fortunato , Darko Hric

Recent years have witnessed the development of a large body of algorithms for community detection in complex networks. Most of them are based upon the optimization of objective functions, among which modularity is the most common, though a…

Social and Information Networks · Computer Science 2014-10-02 Stanislav Sobolevsky , Riccardo Campari , Alexander Belyi , Carlo Ratti

We consider the problem of estimating the topology of multiple networks from nodal observations, where these networks are assumed to be drawn from the same (unknown) random graph model. We adopt a graphon as our random graph model, which is…

Machine Learning · Statistics 2022-12-21 Madeline Navarro , Santiago Segarra

Modularity, first proposed by [Newman and Girvan, 2004], is one of the most popular ways to quantify the significance of community structure in complex networks. It can serve as both a standard benchmark to compare different community…

Social and Information Networks · Computer Science 2022-02-14 Qian Wang , Yongkang Guo , Zhihuan Huang , Yuqing Kong

Research data sets are growing to unprecedented sizes and network modeling is commonly used to extract complex relationships in diverse domains, such as genetic interactions involved in disease, logistics, and social communities. As the…

Social and Information Networks · Computer Science 2024-05-03 Sharlee Climer , Kenneth Smith , Wei Yang , Lisa de las Fuentes , Victor G. Dávila-Román , C. Charles Gu

Community detection is a key aspect of network analysis, as it allows for the identification of groups and patterns within a network. With the ever-increasing size of networks, it is crucial to have fast algorithms to analyze them…

Social and Information Networks · Computer Science 2023-01-31 Subhajit Sahu

The growing popularity of online social networks has provided researchers with access to large amount of social network data. This, coupled with the ever increasing computation speed, storage capacity and data mining capabilities, led to…

Computers and Society · Computer Science 2008-12-18 Rumi Ghosh , Kristina Lerman

Exchangeable random graphs, which include some of the most widely studied network models, have emerged as the mainstay of statistical network analysis in recent years. Graphons, which are the central objects in graph limit theory, provide a…

Statistics Theory · Mathematics 2024-09-17 Anirban Chatterjee , Soham Dan , Bhaswar B. Bhattacharya

There are good arguments to support the claim that deep neural networks (DNNs) capture better feature representations than the previous hand-crafted feature engineering, which leads to a significant performance improvement. In this paper,…

Computer Vision and Pattern Recognition · Computer Science 2022-07-25 Yao Lu , Wen Yang , Yunzhe Zhang , Zuohui Chen , Jinyin Chen , Qi Xuan , Zhen Wang , Xiaoniu Yang

Community detection aims to reveal the community structure in a social network, which is one of the fundamental problems. In this paper we investigate the community detection problem based on the concept of terminal set. A terminal set is a…

Social and Information Networks · Computer Science 2016-07-05 G. Tong , L. Cui , W. Wu , C. Liu , D-Z. Du
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