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We propose a general form of community detecting functions for finding the communities or the optimal partition of a random network, and examine the concentration and stability of the function values using the bounded difference martingale…

Probability · Mathematics 2012-03-28 Weituo Zhang , Chjan C. Lim

In this paper, we use a partition of the links of a network in order to uncover its community structure. This approach allows for communities to overlap at nodes, so that nodes may be in more than one community. We do this by making a node…

Physics and Society · Physics 2009-07-24 T. S. Evans , R. Lambiotte

Community structure is an important structural property that extensively exists in various complex networks. In the past decade, much attention has been paid to the design of community-detection methods, but analyzing the behaviors of the…

Physics and Society · Physics 2017-06-28 Ju Xiang , Zhi-Zhong Wang , Hui-Jia Li , Yan Zhang , Fang Li , Li-Ping Dong , Jian-Ming Li

A new method for identifying communities in networks is proposed. Reference nodes, either selected using a priory information about the network or according to relevant node measurements, are obtained so as to indicate putative communities.…

Social and Information Networks · Computer Science 2019-11-06 Paulo J. P. de Souza , Cesar H. Comin , Luciano da F. Costa

Finding community structures in networks is important in network science, technology, and applications. To date, most algorithms that aim to find community structures only focus either on unipartite or bipartite networks. A unipartite…

Physics and Society · Physics 2014-09-16 Chang Chang , Chao Tang

Community structure is common in many real networks, with nodes clustered in groups sharing the same connections patterns. While many community detection methods have been developed for networks with binary edges, few of them are applicable…

Methodology · Statistics 2023-03-13 Andressa Cerqueira , Elizaveta Levina

The characterization of network community structure has profound implications in several scientific areas. Therefore, testing the algorithms developed to establish the optimal division of a network into communities is a fundamental problem…

Physics and Society · Physics 2013-08-02 Rodrigo Aldecoa , Ignacio Marín

Using an intuitive concept of what constitutes a meaningful community, a novel metric is formulated for detecting non-overlapping communities in undirected, weighted heterogeneous networks. This metric, modularity density, is shown to be…

Social and Information Networks · Computer Science 2019-08-23 Swathi M. Mula , Gerardo Veltri

This paper considers the problem of algorithm selection for community detection. The aim of community detection is to identify sets of nodes in a network which are more interconnected relative to their connectivity to the rest of the…

Social and Information Networks · Computer Science 2010-10-27 Leto Peel

We investigate the possibility of global optimization-based overlapping community detection, using link community framework. We first show that partition density, the original quality function used in link community detection method, is not…

Physics and Society · Physics 2017-10-11 Juyong Lee , Zhong-Yuan Zhang , Jooyoung Lee , Bernard R. Brooks , Yong-Yeol Ahn

Recognizing number of communities and detecting community structures of complex network are discussed in this paper. As a visual and feasible algorithm, block model has been successfully applied to detect community structures in complex…

Physics and Society · Physics 2018-03-20 Hongjue Wang , Tao Wang

Many real-world networks, including nervous systems, exhibit meso-scale structure. This means that their elements can be grouped into meaningful sub-networks. In general, these sub-networks are unknown ahead of time and must be "discovered"…

Neurons and Cognition · Quantitative Biology 2020-11-16 Richard F. Betzel

Community detection is a fundamental problem in the domain of complex-network analysis. It has received great attention, and many community detection methods have been proposed in the last decade. In this paper, we propose a divisive…

Social and Information Networks · Computer Science 2016-04-20 Jianjun Cheng , Longjie Li , Mingwei Leng , Weiguo Lu , Yukai Yao , Xiaoyun Chen

The issue of partitioning a network into communities has attracted a great deal of attention recently. Most authors seem to equate this issue with the one of finding the maximum value of the modularity, as defined by Newman. Since the…

Physics and Society · Physics 2009-11-11 Mika Gustafsson , Anna Lombardi , Michael Hornquist

A generalized approach to Wang-Landau simulations, macroscopically constrained Wang-Landau, is proposed to simulate the density of states of a system with multiple macroscopic order parameters. The method breaks a multidimensional…

Statistical Mechanics · Physics 2017-05-11 Chor-Hoi Chan , Gregory Brown , Per Arne Rikvold

We consider an alternate definition of community structure that is functionally motivated. We define network community structure-based on the function the network system is intended to perform. In particular, as a specific example of this…

Physics and Society · Physics 2015-03-13 Sanjeev Chauhan , Michelle Girvan , Edward Ott

Similar to community detection, partitioning the nodes of a network according to their structural roles aims to identify fundamental building blocks of a network. The found partitions can be used, e.g., to simplify descriptions of the…

Social and Information Networks · Computer Science 2023-05-31 Michael Scholkemper , Michael T. Schaub

Recent years have seen a surge of interest in the analysis of complex networks, facilitated by the availability of relational data and the increasingly powerful computational resources that can be employed for their analysis. Naturally, the…

Physics and Society · Physics 2013-08-08 Jean-Charles Delvenne , Michael T. Schaub , Sophia N. Yaliraki , Mauricio Barahona

Community detection is a classic network problem with extensive applications in various fields. Its most common method is using modularity maximization heuristics which rarely return an optimal partition or anything similar. Partitions with…

Social and Information Networks · Computer Science 2024-10-28 Samin Aref , Mahdi Mostajabdaveh , Hriday Chheda

Detecting and analyzing dense groups or communities from social and information networks has attracted immense attention over last one decade due to its enormous applicability in different domains. Community detection is an ill-defined…

Social and Information Networks · Computer Science 2016-04-13 Tanmoy Chakraborty , Ayushi Dalmia , Animesh Mukherjee , Niloy Ganguly
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