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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

In this paper we introduce a non-fuzzy measure which has been designed to rank the partitions of a network's nodes into overlapping communities. Such a measure can be useful for both quantifying clusters detected by various methods and…

Physics and Society · Physics 2015-05-14 Anna Lázár , Dániel Ábel , Tamás Vicsek

Heterogeneous networks are networks consisting of different types of nodes and multiple types of edges linking such nodes. While community detection has been extensively developed as a useful technique for analyzing networks that contain…

Social and Information Networks · Computer Science 2018-03-23 Jingfei Zhang , Yuguo Chen

Although widely used in practice, the behavior and accuracy of the popular module identification technique called modularity maximization is not well understood in practical contexts. Here, we present a broad characterization of its…

Data Analysis, Statistics and Probability · Physics 2010-04-19 Benjamin H. Good , Yves-Alexandre de Montjoye , Aaron Clauset

Understanding community structure of social media is critical due to its broad applications such as friend recommendations, user modeling and content personalizations. Existing research uses structural metrics such as modularity and…

Social and Information Networks · Computer Science 2017-12-06 Paul Wagenseller , Feng Wang

Community detection, also known as graph partitioning, is a well-known NP-hard combinatorial optimization problem with applications in diverse fields such as complex network theory, transportation, and smart power grids. The problem's…

Optimization and Control · Mathematics 2025-01-03 Wei Li , Yi-Lun Du , Nan Su , Konrad Tywoniuk , Kyle Godbey , Horst Stöcker

We study community structure of networks. We have developed a scheme for maximizing the modularity Q based on mean field methods. Further, we have defined a simple family of random networks with community structure; we understand the…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Sune Lehmann , Lars Kai Hansen

An efficient and relatively fast algorithm for the detection of communities in complex networks is introduced. The method exploits spectral properties of the graph Laplacian-matrix combined with hierarchical-clustering techniques, and…

Statistical Mechanics · Physics 2009-11-10 Luca Donetti , Miguel A. Munoz

We introduce a new algorithm for modularity-based community detection in large networks. The algorithm, which we refer to as a smart local moving algorithm, takes advantage of a well-known local moving heuristic that is also used by other…

Physics and Society · Physics 2015-06-17 Ludo Waltman , Nees Jan van Eck

Community detection aims to reveal the community structure in a social network, which is one of the fundamental problems. In this paper we investigate the community detection problem based on the concept of terminal set. A terminal set is a…

Social and Information Networks · Computer Science 2016-07-05 G. Tong , L. Cui , W. Wu , C. Liu , D-Z. Du

Most methods proposed to uncover communities in complex networks rely on combinatorial graph properties. Usually an edge-counting quality function, such as modularity, is optimized over all partitions of the graph compared against a null…

Physics and Society · Physics 2015-02-17 Renaud Lambiotte , Jean-Charles Delvenne , Mauricio Barahona

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 methods can be used to explore the structure of complex systems. The well-known modular configurations in complex financial systems indicate the existence of community structures. Here we analyze the community properties…

Portfolio Management · Quantitative Finance 2021-12-28 Longfeng Zhao , Chao Wang , Gang-Jin Wang , H. Eugene Stanley , Lin Chen

There has been a surge of interest in community detection in homogeneous single-relational networks which contain only one type of nodes and edges. However, many real-world systems are naturally described as heterogeneous multi-relational…

Social and Information Networks · Computer Science 2014-07-21 Xin Liu , Weichu Liu , Tsuyoshi Murata , Ken Wakita

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

We present a fast spectral algorithm for community detection in complex networks. Our method searches for the partition with the maximum value of the modularity via the interplay of several refinement steps that include both agglomeration…

Physics and Society · Physics 2015-06-23 Santiago Treviño , Amy Nyberg , Charo I. Del Genio , Kevin E. Bassler

Network representations have been effectively employed to analyze complex systems across various areas and applications, leading to the development of network science as a core tool to study systems with multiple components and complex…

Neurons and Cognition · Quantitative Biology 2023-07-25 ItaloIvo Lima Dias Pinto , Javier Omar Garcia , Kanika Bansal

Here we propose a new method to compare the modular structure of a pair of node-aligned networks. The majority of current methods, such as normalized mutual information, compare two node partitions derived from a community detection…

Physics and Society · Physics 2020-10-14 Daniel Straulino , Mattie Landman , Neave O'Clery

How to determine the community structure of complex networks is an open question. It is critical to establish the best strategies for community detection in networks of unknown structure. Here, using standard synthetic benchmarks, we show…

Social and Information Networks · Computer Science 2013-01-15 Rodrigo Aldecoa , Ignacio Marín

Community detection, which involves partitioning nodes within a network, has widespread applications across computational sciences. Modularity-based algorithms identify communities by attempting to maximize the modularity function across…

Social and Information Networks · Computer Science 2024-01-12 Samin Aref , Mahdi Mostajabdaveh
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