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Networks in nature possess a remarkable amount of structure. Via a series of data-driven discoveries, the cutting edge of network science has recently progressed from positing that the random graphs of mathematical graph theory might…

Physics and Society · Physics 2008-07-14 Natali Gulbahce , Sune Lehmann

We study the structure of loops in networks using the notion of modulus of loop families. We introduce a new measure of network clustering by quantifying the richness of families of (simple) loops. Modulus tries to minimize the expected…

Social and Information Networks · Computer Science 2017-01-25 Heman Shakeri , Pietro Poggi-Corradini , Nathan Albin , Caterina Scoglio

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 identification is a long-standing challenge in the modern network science, especially for very large scale networks containing millions of nodes. In this paper, we propose a new metric to quantify the structural similarity between…

Networking and Internet Architecture · Computer Science 2009-05-31 Biao Xiang , En-Hong Chen , Tao Zhou

Community detecting is one of the main approaches to understanding networks \cite{For2010}. However it has been a longstanding challenge to give a definition for community structures of networks. Here we found that community structures are…

Social and Information Networks · Computer Science 2013-11-01 Angsheng Li , Jiankou Li , Yicheng Pan

To obtain the optimal number of communities is an important problem in detecting community structure. In this paper, we extend the measurement of community detecting algorithms to find the optimal community number. Based on the normalized…

Physics and Society · Physics 2015-05-27 Zhifang Li , Yanqing Hu , Beishan Xu , Zengru Di , Ying Fan

Research into detection of dense communities has recently attracted increasing attention within network science, various metrics for detection of such communities have been proposed. The most popular metric -- Modularity -- is based on the…

Physics and Society · Physics 2025-04-30 Ke-ke Shang , Michael Small , Yan Wang , Di Yin , Shu Li

Graph vertices are often organized into groups that seem to live fairly independently of the rest of the graph, with which they share but a few edges, whereas the relationships between group members are stronger, as shown by the large…

Physics and Society · Physics 2007-12-20 Santo Fortunato , Claudio Castellano

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

We propose a new local community detection algorithm that finds communities by identifying borderlines between them using boundary nodes. Our method performs label propagation for community detection, where nodes decide their labels based…

Physics and Society · Physics 2018-10-17 Mursel Tasgin , Haluk O. Bingol

We demonstrate an exact equivalence between two widely used methods of community detection in networks, the method of modularity maximization in its generalized form which incorporates a resolution parameter controlling the size of the…

Social and Information Networks · Computer Science 2016-11-24 M. E. J. Newman

In many networks, it is of great interest to identify "communities", unusually densely knit groups of individuals. Such communities often shed light on the function of the networks or underlying properties of the individuals. Recently,…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Gaurav Agarwal , David Kempe

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 focus on the detection of communities in multi-scale networks, namely networks made of different levels of organization and in which modules exist at different scales. It is first shown that methods based on modularity are not…

Physics and Society · Physics 2010-09-14 Renaud Lambiotte

In this paper, we propose a novel semi-parametric probabilistic model which considers interactions between different communities and can provide more information about the network topology besides correctly detecting communities. By using…

Physics and Society · Physics 2008-07-11 Wei Ren , Guiying Yan , Xiaoping Liao

In this note we briefly study the feasibility of community detection in complex networks using peripheral vertices. Our method suggests a novel direction in axiomizing the problem of clustering in graphs and complex networks by looking at…

Physics and Society · Physics 2015-11-06 Kasra Manshaei , Christian Bauckhage

Communities typically capture homophily as people of the same community share many common features. This paper is motivated by the problem of community detection in social networks, as it can help improve our understanding of the network…

Computer Science and Game Theory · Computer Science 2017-09-01 Radhika Arava

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 structure is a commonly observed feature of real networks. The term refers to the presence in a network of groups of nodes (communities) that feature high internal connectivity, but are poorly connected between each other. Whereas…

Applications · Statistics 2021-10-07 Mirko Signorelli , Luisa Cutillo

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