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The Internet is composed of routing devices connected between them and organized into independent administrative entities: the Autonomous Systems. The existence of different types of Autonomous Systems (like large connectivity providers,…

Networking and Internet Architecture · Computer Science 2016-08-08 Mariano G. Beiró , Sebastián P. Grynberg , J. Ignacio Alvarez-Hamelin

Community structure is of paramount importance for the understanding of complex networks. Consequently, there is a tremendous effort in order to develop efficient community detection algorithms. Unfortunately, the issue of a fair assessment…

Social and Information Networks · Computer Science 2017-11-28 Jebabli Malek , Cherifi Hocine , Cherifi Chantal , Hamouda Atef

Network science has become a powerful tool to describe the structure and dynamics of real-world complex physical, biological, social, and technological systems. Largely built on empirical observations to tackle heterogeneous, temporal, and…

Physics and Society · Physics 2021-04-28 Gerardo Iñiguez , Federico Battiston , Márton Karsai

One explanation for the impressive recent boom in network theory might be that it provides a promising tool for an understanding of complex systems. Network theory is mainly focusing on discrete large-scale topological structures rather…

Statistical Mechanics · Physics 2015-06-25 Stefan Thurner

Finding densely connected subsets of vertices in an unsupervised setting, called clustering or community detection, is one of the fundamental problems in network science. The edge clustering approach instead detects communities by…

Social and Information Networks · Computer Science 2026-03-02 Ryan DeWolfe , François Théberge

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

Social networks are organized into communities with dense internal connections, giving rise to high values of the clustering coefficient. In addition, these networks have been observed to be assortative, i.e. highly connected vertices tend…

Physics and Society · Physics 2016-09-08 R. Toivonen , J. -P. Onnela , J. Saramäki , J. Hyvönen , K. Kaski

Modular structure is pervasive in many complex networks of interactions observed in natural, social and technological sciences. Its study sheds light on the relation between the structure and function of complex systems. Generally speaking,…

Data Analysis, Statistics and Probability · Physics 2010-05-10 Alex Arenas , Javier Borge-Holthoefer , Sergio Gomez , Gorka Zamora-Lopez

The analysis of complex networks permeates all sciences, from biology to sociology. A fundamental, unsolved problem is how to characterize the community structure of a network. Here, using both standard and novel benchmarks, we show that…

Molecular Networks · Quantitative Biology 2012-12-24 Rodrigo Aldecoa , Ignacio Marín

Community detection, a fundamental task for network analysis, aims to partition a network into multiple sub-structures to help reveal their latent functions. Community detection has been extensively studied in and broadly applied to many…

Social and Information Networks · Computer Science 2021-08-17 Di Jin , Zhizhi Yu , Pengfei Jiao , Shirui Pan , Dongxiao He , Jia Wu , Philip S. Yu , Weixiong Zhang

Network topology is a fundamental aspect of network science that allows us to gather insights into the complicated relational architectures of the world we inhabit. We provide a first specific study of neighbourhood degree sequences in…

Social and Information Networks · Computer Science 2019-06-11 Keith M. Smith

Social communities extraction and their dynamics are one of the most important problems in today's social network analysis. During last few years, many researchers have proposed their own methods for group discovery in social networks.…

Social and Information Networks · Computer Science 2012-09-27 Piotr Bródka , Tomasz Filipowski , Przemysław Kazienko

Driven by growing interest in the sciences, industry, and among the broader public, a large number of empirical studies have been conducted in recent years of the structure of networks ranging from the internet and the world wide web to…

Social and Information Networks · Computer Science 2018-06-08 M. E. J. Newman

With the rapid development of information technologies, various big graphs are prevalent in many real applications (e.g., social media and knowledge bases). An important component of these graphs is the network community. Essentially, a…

Databases · Computer Science 2019-08-14 Yixiang Fang , Xin Huang , Lu Qin , Ying Zhang , Wenjie Zhang , Reynold Cheng , Xuemin Lin

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

Although the inference of global community structure in networks has recently become a topic of great interest in the physics community, all such algorithms require that the graph be completely known. Here, we define both a measure of local…

Data Analysis, Statistics and Probability · Physics 2008-04-12 Aaron Clauset

Social networks existing among employees, customers or users of various IT systems have become one of the research areas of growing importance. A social network consists of nodes - social entities and edges linking pairs of nodes. In…

Social and Information Networks · Computer Science 2012-07-19 Piotr Bródka , Przemysław Kazienko , Katarzyna Musiał , Krzysztof Skibicki

We consider the problem of detecting communities or modules in networks, groups of vertices with a higher-than-average density of edges connecting them. Previous work indicates that a robust approach to this problem is the maximization of…

Data Analysis, Statistics and Probability · Physics 2007-05-23 M. E. J. Newman

The topological information of a network can be retrieved equivalently from its complement consisting of the same nodes but complementary edges. Hence the partition of a network into certain substructures based on given criteria should be…

Physics and Society · Physics 2009-08-07 Jiao Wang , C. -H. Lai

Nowadays, networks are almost ubiquitous. In the past decade, community detection received an increasing interest as a way to uncover the structure of networks by grouping nodes into communities more densely connected internally than…

Data Structures and Algorithms · Computer Science 2015-03-20 Erwan Le Martelot , Chris Hankin