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In numerous networks, it is vital to identify communities consisting of closely joined groups of individuals. Such communities often reveal the role of the networks or primary properties of the individuals. In this perspective, Newman and…

Social and Information Networks · Computer Science 2025-04-15 Ghazal Ghajari , Hooshang Jazayeri-Rad , Mashalla Abbasi Dezfooli

We address the question of finding the community structure of a complex network. In an earlier effort [H. Zhou, {\em Phys. Rev. E} (2003)], the concept of network random walking is introduced and a distance measure defined. Here we…

Biological Physics · Physics 2009-11-10 Haijun Zhou

Random walks play an important role in probing the structure of complex networks. On traditional networks, they can be used to extract community structure, understand node centrality, perform link prediction, or capture the similarity…

Physics and Society · Physics 2024-06-13 Shazia'Ayn Babul , Yu Tian , Renaud Lambiotte

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

The aim of this paper is to check feasibility of using the maximal-entropy random walk in algorithms finding communities in complex networks. A number of such algorithms exploit an ordinary or a biased random walk for this purpose. Their…

Physics and Society · Physics 2013-02-05 Jeremi K. Ochab , Zdzisław Burda

We examine a community structure in random graphs of size $n$ and link probability $p/n$ determined with the Newman greedy optimization of modularity. Calculations show that for $p<1$ communities are nearly identical with clusters. For…

Statistical Mechanics · Physics 2015-06-18 Adam Lipowski , Dorota Lipowska

With invaluable theoretical and practical benefits, the problem of partitioning networks for community structures has attracted significant research attention in scientific and engineering disciplines. In literature, Newman's modularity…

Social and Information Networks · Computer Science 2018-02-06 Wenye Li

Uncovering the community structure exhibited by real networks is a crucial step towards an understanding of complex systems that goes beyond the local organization of their constituents. Many algorithms have been proposed so far, but none…

Physics and Society · Physics 2010-09-17 Andrea Lancichinetti , Santo Fortunato

Community structure analysis is a powerful tool for social networks, which can simplify their topological and functional analysis considerably. However, since community detection methods have random factors and real social networks obtained…

Physics and Society · Physics 2015-05-11 Hui-Jia Li , J J. Daniels

Community structure identification has been an important research topic in complex networks and there has been many algorithms proposed so far to detect community structures in complex networks, where most of the algorithms are not suitable…

Disordered Systems and Neural Networks · Physics 2012-01-04 Mursel Tasgin , Haluk Bingol

Community detection is a fundamental problem in the analysis of complex networks. It is the analogue of clustering in network data mining. Within community detection methods, hierarchical algorithms are popular. However, their iterative…

Machine Learning · Computer Science 2020-09-16 Julio-Omar Palacio-Niño , Fernando Berzal

Community detection is a very active field in complex networks analysis, consisting in identifying groups of nodes more densely interconnected relatively to the rest of the network. The existing algorithms are usually tested and compared on…

Social and Information Networks · Computer Science 2012-08-16 Günce Orman , Vincent Labatut , Hocine Cherifi

The discovery of community structure is a common challenge in the analysis of network data. Many methods have been proposed for finding community structure, but few have been proposed for determining whether the structure found is…

Data Analysis, Statistics and Probability · Physics 2008-04-29 Brian Karrer , Elizaveta Levina , M. E. J. Newman

Different kinds of random walks have proven to be useful in the study of structural properties of complex networks. Among them, the restricted dynamics of self-avoiding random walks (SAW), which visit only at most once each vertex in the…

Physics and Society · Physics 2018-01-23 Guilherme de Guzzi Bagnato , José Ricardo Furlan Ronqui , Gonzalo Travieso

Graphs representing real world systems may be studied from their underlying community structure. A community in a network is an intuitive idea for which there is no consensus on its objective mathematical definition. The most used metric in…

Social and Information Networks · Computer Science 2022-06-29 Daniel Gamermann , José Antônio Pellizaro

Community structure exists in many real-world networks and has been reported being related to several functional properties of the networks. The conventional approach was partitioning nodes into communities, while some recent studies start…

Physics and Society · Physics 2011-08-15 Youngdo Kim , Hawoong Jeong

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

Complex networks can be typically broken down into groups or modules. Discovering this "community structure" is an important step in studying the large-scale structure of networks. Many algorithms have been proposed for community detection…

Social and Information Networks · Computer Science 2014-12-19 Jan Dreier , Philipp Kuinke , Rafael Przybylski , Felix Reidl , Peter Rossmanith , Somnath Sikdar

Community structure analysis is a powerful tool for complex networks, which can simplify their functional analysis considerably. Recently, many approaches were proposed to community structure detection, but few works were focused on the…

Physics and Society · Physics 2010-02-11 Yanqing Hu , Yiming Ding , Ying Fan , Zengru Di

Many complex networks exhibit a modular structure of densely connected groups of nodes. Usually, such a modular structure is uncovered by the optimization of some quality function. Although flawed, modularity remains one of the most popular…

Physics and Society · Physics 2015-09-10 V. A. Traag