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Complex networks often exhibit community structure, with communities corresponding to denser subgraphs in which nodes are closely linked. When modelling systems where interactions extend beyond node pairs to arbitrary numbers of nodes,…

Physics and Society · Physics 2025-10-16 Bianka Kovács , Barnabás Benedek , Gergely Palla

Complex data in social and natural sciences find effective representation through networks, wherein quantitative and categorical information can be associated with nodes and connecting edges. The internal structure of networks can be…

Social and Information Networks · Computer Science 2024-08-07 Fabio Morea , Domenico De Stefano

Community detection is the task of identifying clusters or groups of nodes in a network where nodes within the same group are more connected with each other than with nodes in different groups. It has practical uses in identifying similar…

Physics and Society · Physics 2018-01-08 Mursel Tasgin , Haluk O. Bingol

Many systems can be described using graphs, or networks. Detecting communities in these networks can provide information about the underlying structure and functioning of the original systems. Yet this detection is a complex task and a…

Data Structures and Algorithms · Computer Science 2013-02-06 Erwan Le Martelot , Chris Hankin

Community structure is one of the most important features of real networks and reveals the internal organization of the nodes. Many algorithms have been proposed but the crucial issue of testing, i.e. the question of how good an algorithm…

Physics and Society · Physics 2008-10-30 Andrea Lancichinetti , Santo Fortunato , Filippo Radicchi

Social communities extraction and their dynamics are one of the most important problems in today's social network analysis. During last few years, many researchers have proposed their own methods for group discovery in social networks.…

Social and Information Networks · Computer Science 2012-09-27 Piotr Bródka , Tomasz Filipowski , Przemysław Kazienko

Aiming at improving the efficiency and accuracy of community detection in complex networks, we proposed a new algorithm, which is based on the idea that communities could be detected from subnetworks by comparing the internal and external…

Physics and Society · Physics 2016-12-20 Jihui Han , Wei Li , Weibing Deng

Community detection is the task of discovering groups of nodes sharing similar patterns within a network. With recent advancements in deep learning, methods utilizing graph representation learning and deep clustering have shown great…

Social and Information Networks · Computer Science 2022-11-14 E. Dmitriev , M. W. Chekol , S. Wang

Community detection is a critical challenge in analysing real graphs, including social, transportation, citation, cybersecurity, and many other networks. This article proposes three new, general, hierarchical frameworks to deal with this…

Social and Information Networks · Computer Science 2023-05-25 Łukasz Brzozowski , Grzegorz Siudem , Marek Gagolewski

We derive rigorous bounds for well-defined community structure in complex networks for a stochastic block model (SBM) benchmark. In particular, we analyze the effect of inter-community "noise" (inter-community edges) on any "community…

Statistical Mechanics · Physics 2014-07-14 Richard K. Darst , David R. Reichman , Peter Ronhovde , Zohar Nussinov

We consider the problem of community detection from the joint observation of a high-dimensional covariate matrix and $L$ sparse networks, all encoding noisy, partial information about the latent community labels of $n$ subjects. In the…

Statistics Theory · Mathematics 2026-02-10 Shuyang Gong , Dong Huang , Zhangsong Li

Community detection is one of the most important and challenging problems in network analysis. However, real-world networks may have very different structural properties and communities of various nature. As a result, it is hard (or even…

Social and Information Networks · Computer Science 2019-06-25 Liudmila Prokhorenkova

In this paper, we consider the community detection problem in signed networks, where there are two types of edges: positive edges (friends) and negative edges (enemies). One renowned theorem of signed networks, known as Harary's theorem,…

Social and Information Networks · Computer Science 2017-05-12 Cheng-Shang Chang , Duan-Shin Lee , Li-Heng Liou , Sheng-Min Lu

Community detection is a fundamental problem in machine learning. While deep learning has shown great promise in many graphrelated tasks, developing neural models for community detection has received surprisingly little attention. The few…

Machine Learning · Computer Science 2019-09-27 Oleksandr Shchur , Stephan Günnemann

We consider the problem of community detection in the Stochastic Block Model with a finite number $K$ of communities of sizes linearly growing with the network size $n$. This model consists in a random graph such that each pair of vertices…

Social and Information Networks · Computer Science 2014-12-24 Se-Young Yun , Alexandre Proutiere

The problem and implications of community detection in networks have raised a huge attention, for its important applications in both natural and social sciences. A number of algorithms has been developed to solve this problem, addressing…

Social and Information Networks · Computer Science 2014-02-28 Cristian Bisconti , Angelo Corallo , Laura Fortunato , Antonio A. Gentile

Community detection can reveal the underlying structure and patterns of complex networks, identify sets of nodes with specific functions or similar characteristics, and study the evolution process and development trends of networks. Despite…

Social and Information Networks · Computer Science 2024-12-05 Jiaqi Yao , Lewis Mitchell

Community detection in multi-layer networks is a crucial problem in network analysis. In this paper, we analyze the performance of two spectral clustering algorithms for community detection within the framework of the multi-layer…

Social and Information Networks · Computer Science 2025-02-11 Huan Qing

We review and improve a recently introduced method for the detection of communities in complex networks. This method combines spectral properties of some matrices encoding the network topology, with well known hierarchical clustering…

Physics and Society · Physics 2009-11-11 L. Donetti , M. A. Munoz

Statistical significance of network clustering has been an unresolved problem since it was observed that community detection algorithms produce false positives even in random graphs. After a phase transition between undetectable and…

Social and Information Networks · Computer Science 2016-05-03 Jeremi K. Ochab