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We connect two random graph models, the Popularity Adjusted Block Model (PABM) and the Generalized Random Dot Product Graph (GRDPG), by demonstrating that the PABM is a special case of the GRDPG in which communities correspond to mutually…

Machine Learning · Statistics 2022-06-13 John Koo , Minh Tang , Michael W. Trosset

Embedding dyadic data into a latent space has long been a popular approach to modeling networks of all kinds. While clustering has been done using this approach for static networks, this paper gives two methods of community detection within…

Methodology · Statistics 2020-05-19 Daniel K. Sewell , Yuguo Chen

A degree-corrected distribution-free model is proposed for weighted social networks with latent structural information. The model extends the previous distribution-free models by considering variation in node degree to fit real-world…

Social and Information Networks · Computer Science 2024-04-08 Huan Qing

The representation of data and its relationships using networks is prevalent in many research fields such as computational biology, medical informatics and social networks. Recently, complex networks models have been introduced to better…

Social and Information Networks · Computer Science 2021-03-08 Pietro Hiram Guzzi , Giuseppe Tradigo , Pierangelo Veltri

Recent developments in the internet and technology have made major advancements in tools that facilitate the collection of social data, opening up thus new opportunities for analyzing social networks. Social network analysis studies the…

Social and Information Networks · Computer Science 2022-12-06 Souaad Boudebza

Bipartite networks are a useful tool for representing and investigating interaction networks. We consider methods for identifying communities in bipartite networks. Intuitive notions of network community groups are made explicit using…

Physics and Society · Physics 2009-11-13 Michael J. Barber , Margarida Faria , Ludwig Streit , Oleg Strogan

Social networks are the social structures which are composed of people and their relationships and nowadays, play an important role in data extension. In such networks, the communities are recognized as the groups of users who are often…

Social and Information Networks · Computer Science 2020-11-26 Reyhaneh Rigia , Mehrdad Jalali , Mohammad Hosein Moattar

Networks (or graphs) appear as dominant structures in diverse domains, including sociology, biology, neuroscience and computer science. In most of the aforementioned cases graphs are directed - in the sense that there is directionality on…

Social and Information Networks · Computer Science 2015-06-16 Fragkiskos D. Malliaros , Michalis Vazirgiannis

This paper investigates community detection by modularity maximisation on bipartite networks. In particular we are interested in how the operation of projection, using one node set of the bipartite network to infer connections between nodes…

Social and Information Networks · Computer Science 2020-05-20 Rudy Arthur

Community detection in large social networks is affected by degree heterogeneity of nodes. The D-SCORE algorithm for directed networks was introduced to reduce this effect by taking the element-wise ratios of the singular vectors of the…

Machine Learning · Statistics 2021-06-01 Zhe Wang , Yingbin Liang , Pengsheng Ji

Most existing approaches for community detection require complete information of the graph in a specific scale, which is impractical for many social networks. We propose a novel algorithm that does not embrace the universal approach but…

Physics and Society · Physics 2015-03-30 Hui-Jia Li , Junhua Zhang , Zhi-Ping Liu , Luonan Chen , Xiang-Sun Zhang

The recent boom of large-scale Online Social Networks (OSNs) both enables and necessitates the use of parallelisable and scalable computational techniques for their analysis. We examine the problem of real-time community detection and a…

Physics and Society · Physics 2009-06-20 Ian X. Y. Leung , Pan Hui , Pietro Lio' , Jon Crowcroft

Many complex networks display a mesoscopic structure with groups of nodes sharing many links with the other nodes in their group and comparatively few with nodes of different groups. This feature is known as community structure and encodes…

Physics and Society · Physics 2009-07-31 Andrea Lancichinetti , Santo Fortunato

The minimal number of nodes required to multilaterate a network endowed with geodesic distance (i.e., to uniquely identify all nodes based on shortest path distances to the selected nodes) is called its metric dimension. This quantity is…

Combinatorics · Mathematics 2019-11-06 Richard D. Tillquist , Manuel E. Lladser

Over the last couple of decades, Social Networks have connected people on the web from across the globe and have become a crucial part of our daily life. These networks have also rapidly grown as platforms for propagating products, ideas,…

Social and Information Networks · Computer Science 2022-11-23 Aaryan Gupta , Inder Khatri , Arjun Choudhry , Sanjay Kumar

The problem of community detection in multi-layer undirected networks has received considerable attention in recent years. However, practical scenarios often involve multi-layer bipartite networks, where each layer consists of two distinct…

Social and Information Networks · Computer Science 2024-05-09 Huan Qing

Community detection in networks is commonly performed using information about interactions between nodes. Recent advances have been made to incorporate multiple types of interactions, thus generalizing standard methods to multilayer…

Social and Information Networks · Computer Science 2020-10-29 Martina Contisciani , Eleanor Power , Caterina De Bacco

In a graph, a community may be loosely defined as a group of nodes that are more closely connected to one another than to the rest of the graph. While there are a variety of metrics that can be used to specify the quality of a given…

Social and Information Networks · Computer Science 2014-04-24 Christine Klymko , David Gleich , Tamara G. Kolda

Several recent studies of complex networks have suggested algorithms for locating network communities, also called modules or clusters, which are mostly defined as groups of nodes with dense internal connections. Along with the rapid…

Physics and Society · Physics 2008-09-04 Peter Pollner , Gergely Palla , Daniel Abel , Andras Vicsek , Illes J. Farkas , Imre Derenyi , Tamas Vicsek

Automatic detection of relevant groups of nodes in large real-world graphs, i.e. community detection, has applications in many fields and has received a lot of attention in the last twenty years. The most popular method designed to find…

Data Structures and Algorithms · Computer Science 2023-08-22 Alexis Baudin , Maximilien Danisch , Sergey Kirgizov , Clémence Magnien , Marwan Ghanem