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We study how to detect groups in a complex network each of which consists of component nodes sharing a similar connection pattern. Based on the mixture models and the exploratory analysis set up by Newman and Leicht (Newman and Leicht 2007…

Data Analysis, Statistics and Probability · Physics 2008-12-17 J. Wang , C. -H. Lai

The maximization of generalized modularity performs well on networks in which the members of all communities are statistically indistinguishable from each other. However, there is no theory bounding the maximization performance in more…

Social and Information Networks · Computer Science 2020-04-17 Xiaoyan Lu , Brendan Cross , Boleslaw K. Szymanski

Low modularity networks (Q < 0.2) challenge classical community detection algorithms, which get trapped in local optima. We introduce quantum inspired community detection algorithms leveraging non classical sampling techniques to escape…

Quantum Physics · Physics 2025-09-05 Joseph Geraci , Luca Pani

Uncovering latent community structure in complex networks is a field that has received an enormous amount of attention. Unfortunately, whilst potentially very powerful, unsupervised methods for uncovering labels based on topology alone has…

Social and Information Networks · Computer Science 2018-06-29 James P Gilbert , Jamie Twycross

To unravel the driving patterns of networks, the most popular models rely on community detection algorithms. However, these approaches are generally unable to reproduce the structural features of the network. Therefore, attempts are always…

Social and Information Networks · Computer Science 2022-09-07 Martina Contisciani , Hadiseh Safdari , Caterina De Bacco

Algorithm performance in supervised learning is a combination of memorization, generalization, and luck. By estimating how much information an algorithm can memorize from a dataset, we can set a lower bound on the amount of performance due…

Machine Learning · Computer Science 2020-03-19 Pedro Sandoval Segura , Julius Lauw , Daniel Bashir , Kinjal Shah , Sonia Sehra , Dominique Macias , George Montanez

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

In this paper a simple but efficient real-time detecting algorithm is proposed for tracking community structure of dynamic networks. Community structure is intuitively characterized as divisions of network nodes into subgroups, within which…

Social and Information Networks · Computer Science 2014-07-11 Jiaxing Shang , Lianchen Liu , Feng Xie , Zhen Chen , Jiajia Miao , Xuelin Fang , Cheng Wu

Community detection has attracted increasing attention during the past decade, and many algorithms have been proposed to find the underlying community structure in a given network. Many of these algorithms are based on modularity…

Optimization and Control · Mathematics 2015-01-27 Necdet Serhat Aybat , Sahar Zarmehri , Soundar Kumara

One of the most useful measures of cluster quality is the modularity of a partition, which measures the difference between the number of the edges joining vertices from the same cluster and the expected number of such edges in a random…

Data Analysis, Statistics and Probability · Physics 2009-09-29 Hristo Djidjev

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

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

In this work, we explore four common algorithms for community detection in networks, namely Agglomerative Hierarchical Clustering, Divisive Hierarchical Clustering (Girvan-Newman), Fastgreedy and the Louvain Method. We investigate their…

Social and Information Networks · Computer Science 2021-09-01 Niko Motschnig , Alexander Ramharter , Oliver Schweiger , Philipp Zabka , Klaus-Tycho Foerster

Networks are a widely-used tool to investigate the large-scale connectivity structure in complex systems and graphons have been proposed as an infinite size limit of dense networks. The detection of communities or other meso-scale…

Computation · Statistics 2021-01-05 Florian Klimm , Nick S. Jones , Michael T. Schaub

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

Many algorithms to detect communities in networks typically work without any information on the cluster structure to be found, as one has no a priori knowledge of it, in general. Not surprisingly, knowing some features of the unknown…

Physics and Society · Physics 2014-12-02 Richard K. Darst , Zohar Nussinov , Santo Fortunato

This paper presents a novel spectral algorithm with additive clustering designed to identify overlapping communities in networks. The algorithm is based on geometric properties of the spectrum of the expected adjacency matrix in a random…

Machine Learning · Statistics 2017-11-07 Emilie Kaufmann , Thomas Bonald , Marc Lelarge

Large Language Models (LLMs), like GPT-3.5-turbo, have demonstrated the ability to understand graph structures and have achieved excellent performance in various graph reasoning tasks, such as node classification. Despite their strong…

Social and Information Networks · Computer Science 2026-01-22 Li Ni , Haowen Shen , Lin Mu , Yiwen Zhang , Wenjian Luo

Detecting community structure is fundamental to clarify the link between structure and function in complex networks and is used for practical applications in many disciplines. A successful method relies on the optimization of a quantity…

Physics and Society · Physics 2007-05-23 Santo Fortunato , Marc Barthelemy

Community detection in network analysis aims at partitioning nodes in a network into $K$ disjoint communities. Most currently available algorithms assume that $K$ is known, but choosing a correct $K$ is generally very difficult for real…

Methodology · Statistics 2017-07-03 Chong Chen , Ruibin Xi , Nan Lin