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Internet is a complex network composed by several networks: the Autonomous Systems, each one designed to transport information efficiently. Routing protocols aim to find paths between nodes whenever it is possible (i.e., the network is not…

Discrete Mathematics · Computer Science 2012-02-21 José Ignacio Alvarez-Hamelin , Beiró Mariano Gastón , Jorge Rodolfo Busch

Model networks and their underlying topologies have been used as a reference for techno-economic studies for several decades. Existing reference topologies for optical networks may cover different network segments such as backbone, metro…

Complex networks provide a powerful mathematical representation of complex systems in nature and society. To understand complex networks, it is crucial to explore their internal structures, also called structural regularities. The task of…

Social and Information Networks · Computer Science 2015-12-02 Yi Chen , Xiao-long Wang , Xin Xiang , Bu-zhou Tang , Qing-cai Chen , Bo Yuan , Jun-zhao Bu

This review presents various image segmentation methods using complex networks. Image segmentation is one of the important steps in image analysis as it helps analyze and understand complex images. At first, it has been tried to classify…

Computer Vision and Pattern Recognition · Computer Science 2024-01-08 Amin Rezaei , Fatemeh Asadi

The topology of any complex system is key to understanding its structure and function. Fundamentally, algebraic topology guarantees that any system represented by a network can be understood through its closed paths. The length of each path…

Methodology · Statistics 2017-05-17 Pierre-André G. Maugis , Sofia C. Olhede , Patrick J. Wolfe

This chapter provides an overview of the different techniques and methods that exist for the analysis and visualization of dynamic networks. Basic definitions and formal notations are discussed and important references are cited. A major…

Social and Information Networks · Computer Science 2014-09-18 Faraz Zaidi , Chris Muelder , Arnaud Sallaberry

Detection of community structures in social networks has attracted lots of attention in the domain of sociology and behavioral sciences. Social networks also exhibit dynamic nature as these networks change continuously with the passage of…

Social and Information Networks · Computer Science 2014-09-18 Frédéric Gilbert , Paolo Simonetto , Faraz Zaidi , Fabien Jourdan , Romain Bourqui

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

Network science is an interdisciplinary endeavor, with methods and applications drawn from across the natural, social, and information sciences. A prominent problem in network science is the algorithmic detection of tightly-connected groups…

Data Analysis, Statistics and Probability · Physics 2010-07-14 Peter J. Mucha , Thomas Richardson , Kevin Macon , Mason A. Porter , Jukka-Pekka Onnela

Complex models, such as neural networks (NNs), are comprised of many interrelated components. In order to represent these models, eliciting and characterising the relations between components is essential. Perhaps because of this, diagrams,…

Human-Computer Interaction · Computer Science 2022-06-13 Guy Clarke Marshall , Caroline Jay , Andre Freitas

An increasing number of complex systems are now modeled as networks of coupled dynamical entities. Nonlinearity and high-dimensionality are hallmarks of the dynamics of such networks but have generally been regarded as obstacles to control.…

Disordered Systems and Neural Networks · Physics 2015-12-07 Adilson E. Motter

Methods to solve a node discovery problem for a social network are presented. Covert nodes refer to the nodes which are not observable directly. They transmit the influence and affect the resulting collaborative activities among the persons…

Artificial Intelligence · Computer Science 2010-09-28 Yoshiharu Maeno

Real-world networks such as the Internet and WWW have many common traits. Until now, hundreds of models were proposed to characterize these traits for understanding the networks. Because different models used very different mechanisms, it…

Social and Information Networks · Computer Science 2014-09-02 Bojin Zheng , Hongrun Wu , Li Kuang , Jun Qin , Wenhua Du , Jianmin Wang , Deyi Li

Complex networks have been characterised by their specific connectivity patterns (network motifs), but their building blocks can also be identified and described by node-motifs---a combination of local network features. One technique to…

In this paper, we study the crucial elements of complex networks, namely nodes, and edges and their properties such as their community structure, which play an important role in dictating the robustness of the network towards structural…

Social and Information Networks · Computer Science 2021-02-04 V. Parimi , A. Pal , S. Ruj , P. Kumaraguru , T. Chakraborty

A diffusion process on complex networks is introduced in order to uncover their large scale topological structures. This is achieved by focusing on the slowest decaying diffusive modes of the network. The proposed procedure is applied to…

Statistical Mechanics · Physics 2009-11-10 Ingve Simonsen , Kasper Astrup Eriksen , Sergei Maslov , Kim Sneppen

This paper surveys visualization and interaction techniques for geospatial networks from a total of 95 papers. Geospatial networks are graphs where nodes and links can be associated with geographic locations. Examples can include social…

Human-Computer Interaction · Computer Science 2021-04-21 Sarah Schöttler , Yalong Yang , Hanspeter Pfister , Benjamin Bach

In network science, a group of nodes connected with each other at higher probability than with those outside the group is referred to as a community. From the perspective that individual communities are associated with functional modules…

Physics and Society · Physics 2019-12-10 Hiroshi Okamoto , Xu-le Qiu

This article serves as an introduction to the study of networks of social systems. First, we introduce the reader to key mathematical tools to study social networks, including mathematical representations of networks and essential…

Physics and Society · Physics 2023-02-03 Heather Z. Brooks

Large networks are becoming a widely used abstraction for studying complex systems in a broad set of disciplines, ranging from social network analysis to molecular biology and neuroscience. Despite an increasing need to analyze and…

Social and Information Networks · Computer Science 2016-06-27 Jure Leskovec , Rok Sosic