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Many networks of interest in the sciences, including a variety of social and biological networks, are found to divide naturally into communities or modules. The problem of detecting and characterizing this community structure has attracted…

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

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

Some of the most used sampling mechanisms that implicitly leverage a social network depend on tuning parameters; for instance, Respondent-Driven Sampling (RDS) is specified by the number of seeds and maximum number of referrals. We are…

Methodology · Statistics 2019-12-06 Simón Lunagómez , Marios Papamichalis , Patrick J. Wolfe , Edoardo M. Airoldi

Community detection is one of the most active fields in complex networks analysis, due to its potential value in practical applications. Many works inspired by different paradigms are devoted to the development of algorithmic solutions…

Social and Information Networks · Computer Science 2012-08-16 Günce Orman , Vincent Labatut , Hocine Cherifi

Optimal percolation is the problem of finding the minimal set of nodes such that if the members of this set are removed from a network, the network is fragmented into non-extensive disconnected clusters. The solution of the optimal…

Physics and Society · Physics 2018-03-02 Saeed Osat , Ali Faqeeh , Filippo Radicchi

Because networks can be used to represent many complex systems, they have attracted considerable attention in physics, computer science, sociology, and many other disciplines. One of the most important areas of network science is the…

Social and Information Networks · Computer Science 2016-11-18 Huiyi Hu , Yves van Gennip , Blake Hunter , Mason A. Porter , Andrea L. Bertozzi

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

In principle, higher-order networks that have multiple edge types are more informative than their lower-order counterparts. In practice, however, excessively rich information may be algorithmically infeasible to extract. It requires an…

Social and Information Networks · Computer Science 2017-10-25 Tatsuro Kawamoto

Detecting community structure is fundamental to clarify the link between structure and function in complex networks and is used for practical applications in many disciplines. A successful method relies on the optimization of a quantity…

Physics and Society · Physics 2007-05-23 Santo Fortunato , Marc Barthelemy

Graphs representing real world systems may be studied from their underlying community structure. A community in a network is an intuitive idea for which there is no consensus on its objective mathematical definition. The most used metric in…

Social and Information Networks · Computer Science 2022-06-29 Daniel Gamermann , José Antônio Pellizaro

Intuitively, sampling is likely to be more efficient for prevalence estimation, if the cases (or positives) have a relatively higher representation in the sample than in the population. In case the virus is transmitted via personal…

Applications · Statistics 2020-11-18 Li-Chun Zhang

Community detection is one of the pivotal tools for discovering the structure of complex networks. Majority of community detection methods rely on optimization of certain quality functions characterizing the proposed community structure.…

Social and Information Networks · Computer Science 2017-12-15 Stanislav Sobolevsky , Alexander Belyi , Carlo Ratti

Many community detection algorithms require the introduction of a measure on the set of nodes. Previously, a lot of efforts have been made to find the top-performing measures. In most cases, experiments were conducted on several datasets or…

Social and Information Networks · Computer Science 2021-11-03 Rinat Aynulin

Community detection is a central problem of network data analysis. Given a network, the goal of community detection is to partition the network nodes into a small number of clusters, which could often help reveal interesting structures. The…

Statistics Theory · Mathematics 2016-07-26 Chao Gao , Zongming Ma , Anderson Y. Zhang , Harrison H. Zhou

To better understand the correlation between network topological features and the robustness of network controllability in a general setting, this paper suggests a practical approach to searching for optimal network topologies with given…

Systems and Control · Electrical Eng. & Systems 2020-09-02 Yang Lou , Lin Wang , Kim Fung Tsang , Guanrong Chen

Detecting communities in networks is important in various domains of applications. While a variety of methods exists to perform this task, recent efforts propose Optimal Transport (OT) principles combined with the geometric notion of…

Physics and Society · Physics 2022-12-01 Daniela Leite , Diego Baptista , Abdullahi Ibrahim , Enrico Facca , Caterina De Bacco

In a graph, a community may be loosely defined as a group of nodes that are more closely connected to one another than to the rest of the graph. While there are a variety of metrics that can be used to specify the quality of a given…

Social and Information Networks · Computer Science 2014-04-24 Christine Klymko , David Gleich , Tamara G. Kolda

This paper studies the observability radius of network systems, which measures the robustness of a network to perturbations of the edges. We consider linear networks, where the dynamics are described by a weighted adjacency matrix, and…

Systems and Control · Computer Science 2016-12-20 Gianluca Bianchin , Paolo Frasca , Andrea Gasparri , Fabio Pasqualetti

Community detection in networks is one of the most popular topics of modern network science. Communities, or clusters, are usually groups of vertices having higher probability of being connected to each other than to members of other…

Physics and Society · Physics 2016-11-04 Santo Fortunato , Darko Hric

It has recently become established that the spread of infectious diseases between humans is affected not only by the pathogen itself but also by changes in behavior as the population becomes aware of the epidemic; for example, social…

Physics and Society · Physics 2013-10-09 Yilei Bu , Steve Gregory , Harriet L. Mills