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According to Fortunato and Barthelemy, modularity-based community detection algorithms have a resolution threshold such that small communities in a large network are invisible. Here we generalize their work and show that the q-state Potts…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jussi M. Kumpula , Jari Saramaki , Kimmo Kaski , Janos Kertesz

Recently, a type of multi-resolution methods in community detection was introduced, which can adjust the resolution of modularity by modifying the modularity function with tunable resolution parameters, such as those proposed by Arenas,…

Physics and Society · Physics 2015-05-30 Ju Xiang , Ke Hu

Modularity maximization is the most popular technique for the detection of community structure in graphs. The resolution limit of the method is supposedly solvable with the introduction of modified versions of the measure, with tunable…

Physics and Society · Physics 2012-02-14 Andrea Lancichinetti , Santo Fortunato

Various attempts have been made in recent years to solve the Resolution Limit (RL) problem in community detection by considering variants of the modularity metric in the detection algorithms. These metrics purportedly largely mitigate the…

Physics and Society · Physics 2021-01-01 Jiahao Guo , Pramesh Singh , Kevin E. Bassler

We address the problem of multiresolution module detection in dense weighted networks, where the modular structure is encoded in the weights rather than topology. We discuss a weighted version of the q-state Potts method, which was…

Physics and Society · Physics 2009-11-13 Tapio Heimo , Jussi Kumpula , Kimmo Kaski , Jari Saramaki

Modularity, since its introduction, has remained one of the most widely used metrics to assess the quality of community structure in a complex network. However the resolution limit problem associated with modularity limits its applicability…

Physics and Society · Physics 2018-06-13 Tianlong Chen , Pramesh Singh , Kevin E. Bassler

We use a Potts model community detection algorithm to accurately and quantitatively evaluate the hierarchical or multiresolution structure of a graph. Our multiresolution algorithm calculates correlations among multiple copies ("replicas")…

Physics and Society · Physics 2023-01-30 Peter Ronhovde , Zohar Nussinov

Community detection algorithms attempt to find the best clusters of nodes in an arbitrary complex network. Multi-scale ("multiresolution") community detection extends the problem to identify the best network scale(s) for these clusters. The…

Physics and Society · Physics 2015-06-11 Peter Ronhovde , Zohar Nussinov

A community detection algorithm is considered to have a resolution limit if the scale of the smallest modules that can be resolved depends on the size of the analyzed subnetwork. The resolution limit is known to prevent some community…

Physics and Society · Physics 2015-06-18 Tatsuro Kawamoto , Martin Rosvall

Detecting communities in large networks has drawn much attention over the years. While modularity remains one of the more popular methods of community detection, the so-called resolution limit remains a significant drawback. To overcome…

Physics and Society · Physics 2011-08-02 V. A. Traag , P. Van Dooren , Y. Nesterov

The analysis of the modular structure of networks is a major challenge in complex networks theory. The validity of the modular structure obtained is essential to confront the problem of the topology-functionality relationship. Recently,…

Data Analysis, Statistics and Probability · Physics 2012-08-22 Clara Granell , Sergio Gomez , Alex Arenas

Community detection is of considerable importance for analyzing the structure and function of complex networks. Many real-world networks may possess community structures at multiple scales, and recently, various multi-resolution methods…

Physics and Society · Physics 2015-09-01 Ju Xiang , Yan-Ni Tang , Yuan-Yuan Gao , Yan Zhang , Ke Deng , Xiao-Ke Xu , Ke Hu

In this paper, we first discuss the definition of modularity (Q) used as a metric for community quality and then we review the modularity maximization approaches which were used for community detection in the last decade. Then, we discuss…

Physics and Society · Physics 2016-11-17 Mingming Chen , Konstantin Kuzmin , Boleslaw K. Szymanski

Networks often exhibit structure at disparate scales. We propose a method for identifying community structure at different scales based on multiresolution modularity and consensus clustering. Our contribution consists of two parts. First,…

Social and Information Networks · Computer Science 2018-02-01 Lucas G. S. Jeub , Olaf Sporns , Santo Fortunato

It is well-known that community detection methods based on modularity optimization often fails to discover small communities. Several objective functions used for community detection therefore involve a resolution parameter that allows the…

Physics and Society · Physics 2011-03-30 Gautier Krings , Vincent D. Blondel

We report on an exceptionally accurate spin-glass-type Potts model for community detection. With a simple algorithm, we find that our approach is at least as accurate as the best currently available algorithms and robust to the effects of…

Physics and Society · Physics 2010-04-28 Peter Ronhovde , Zohar Nussinov

Community structure is one of the most important features of complex networks. Modularity-based methods for community detection typically rely on heuristic algorithms to optimize a specific community quality function. Such methods are…

Physics and Society · Physics 2022-09-02 Kun Gao , Xuezao Ren , Lei Zhou , Junfang Zhu

Modularity is widely used to effectively measure the strength of the community structure found by community detection algorithms. However, modularity maximization suffers from two opposite yet coexisting problems: in some cases, it tends to…

Social and Information Networks · Computer Science 2017-01-02 Mingming Chen , Tommy Nguyen , Boleslaw K. Szymanski

The problem of community detection is relevant in many disciplines of science and modularity optimization is the widely accepted method for this purpose. It has recently been shown that this approach presents a resolution limit by which it…

Physics and Society · Physics 2015-05-13 A. D. Medus , C. O. Dorso

Community structure is an important property of complex networks. An automatic discovery of such structure is a fundamental task in many disciplines, including sociology, biology, engineering, and computer science. Recently, several…

Physics and Society · Physics 2008-04-11 Jianhua Ruan , Weixiong Zhang
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