Fundamentals of Complex Networks

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Publisher : John Wiley & Sons
ISBN 13 : 1118718119
Total Pages : 384 pages
Book Rating : 4.1/5 (187 download)

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Book Synopsis Fundamentals of Complex Networks by : Guanrong Chen

Download or read book Fundamentals of Complex Networks written by Guanrong Chen and published by John Wiley & Sons. This book was released on 2015-06-29 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex networks such as the Internet, WWW, transportation networks, power grids, biological neural networks, and scientific cooperation networks of all kinds provide challenges for future technological development. • The first systematic presentation of dynamical evolving networks, with many up-to-date applications and homework projects to enhance study • The authors are all very active and well-known in the rapidly evolving field of complex networks • Complex networks are becoming an increasingly important area of research • Presented in a logical, constructive style, from basic through to complex, examining algorithms, through to construct networks and research challenges of the future

Fundamentals of Brain Network Analysis

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Publisher : Academic Press
ISBN 13 : 0124081185
Total Pages : 496 pages
Book Rating : 4.1/5 (24 download)

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Book Synopsis Fundamentals of Brain Network Analysis by : Alex Fornito

Download or read book Fundamentals of Brain Network Analysis written by Alex Fornito and published by Academic Press. This book was released on 2016-03-04 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Brain Network Analysis is a comprehensive and accessible introduction to methods for unraveling the extraordinary complexity of neuronal connectivity. From the perspective of graph theory and network science, this book introduces, motivates and explains techniques for modeling brain networks as graphs of nodes connected by edges, and covers a diverse array of measures for quantifying their topological and spatial organization. It builds intuition for key concepts and methods by illustrating how they can be practically applied in diverse areas of neuroscience, ranging from the analysis of synaptic networks in the nematode worm to the characterization of large-scale human brain networks constructed with magnetic resonance imaging. This text is ideally suited to neuroscientists wanting to develop expertise in the rapidly developing field of neural connectomics, and to physical and computational scientists wanting to understand how these quantitative methods can be used to understand brain organization. - Winner of the 2017 PROSE Award in Biomedicine & Neuroscience and the 2017 British Medical Association (BMA) Award in Neurology - Extensively illustrated throughout by graphical representations of key mathematical concepts and their practical applications to analyses of nervous systems - Comprehensively covers graph theoretical analyses of structural and functional brain networks, from microscopic to macroscopic scales, using examples based on a wide variety of experimental methods in neuroscience - Designed to inform and empower scientists at all levels of experience, and from any specialist background, wanting to use modern methods of network science to understand the organization of the brain

Opinion Dynamics and the Evolution of Social Power in Social Networks

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Publisher : Springer
ISBN 13 : 3030106063
Total Pages : 220 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Opinion Dynamics and the Evolution of Social Power in Social Networks by : Mengbin Ye

Download or read book Opinion Dynamics and the Evolution of Social Power in Social Networks written by Mengbin Ye and published by Springer. This book was released on 2019-02-19 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses rigorous mathematical analysis to advance opinion dynamics models for social networks in three major directions. First, a novel model is proposed to capture how a discrepancy between an individual’s private and expressed opinions can develop due to social pressures that arise in group situations or through extremists deliberately shaping public opinion. Detailed theoretical analysis of the final opinion distribution is followed by use of the model to study Asch’s seminal experiments on conformity, and the phenomenon of pluralistic ignorance. Second, the DeGroot-Friedkin model for evolution of an individual’s social power (self-confidence) is developed in a number of directions. The key result establishes that an individual’s initial social power is forgotten exponentially fast, even when the network changes over time; eventually, an individual’s social power depends only on the (changing) network structure. Last, a model for the simultaneous discussion of multiple logically interdependent topics is proposed. To ensure that a consensus across the opinions of all individuals is achieved, it turns out that the interpersonal interactions must be weaker than an individual’s introspective cognitive process for establishing logical consistency among the topics. Otherwise, the individual may experience cognitive overload and the opinion system becomes unstable. Conclusions of interest to control engineers, social scientists, and researchers from other relevant disciplines are discussed throughout the thesis with support from both social science and control literature.

Modularity and Dynamics on Complex Networks

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Publisher : Cambridge University Press
ISBN 13 : 1108808654
Total Pages : 102 pages
Book Rating : 4.1/5 (88 download)

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Book Synopsis Modularity and Dynamics on Complex Networks by : Renaud Lambiotte

Download or read book Modularity and Dynamics on Complex Networks written by Renaud Lambiotte and published by Cambridge University Press. This book was released on 2022-02-03 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex networks are typically not homogeneous, as they tend to display an array of structures at different scales. A feature that has attracted a lot of research is their modular organisation, i.e., networks may often be considered as being composed of certain building blocks, or modules. In this Element, the authors discuss a number of ways in which this idea of modularity can be conceptualised, focusing specifically on the interplay between modular network structure and dynamics taking place on a network. They discuss, in particular, how modular structure and symmetries may impact on network dynamics and, vice versa, how observations of such dynamics may be used to infer the modular structure. They also revisit several other notions of modularity that have been proposed for complex networks and show how these can be related to and interpreted from the point of view of dynamical processes on networks.

Spectra of Graphs

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Publisher : Springer Science & Business Media
ISBN 13 : 1461419395
Total Pages : 254 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Spectra of Graphs by : Andries E. Brouwer

Download or read book Spectra of Graphs written by Andries E. Brouwer and published by Springer Science & Business Media. This book was released on 2011-12-17 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an elementary treatment of the basic material about graph spectra, both for ordinary, and Laplace and Seidel spectra. The text progresses systematically, by covering standard topics before presenting some new material on trees, strongly regular graphs, two-graphs, association schemes, p-ranks of configurations and similar topics. Exercises at the end of each chapter provide practice and vary from easy yet interesting applications of the treated theory, to little excursions into related topics. Tables, references at the end of the book, an author and subject index enrich the text. Spectra of Graphs is written for researchers, teachers and graduate students interested in graph spectra. The reader is assumed to be familiar with basic linear algebra and eigenvalues, although some more advanced topics in linear algebra, like the Perron-Frobenius theorem and eigenvalue interlacing are included.

Random Graph Dynamics

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Publisher : Cambridge University Press
ISBN 13 : 1139460889
Total Pages : 203 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Random Graph Dynamics by : Rick Durrett

Download or read book Random Graph Dynamics written by Rick Durrett and published by Cambridge University Press. This book was released on 2010-05-31 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of random graphs began in the late 1950s in several papers by Erdos and Renyi. In the late twentieth century, the notion of six degrees of separation, meaning that any two people on the planet can be connected by a short chain of people who know each other, inspired Strogatz and Watts to define the small world random graph in which each site is connected to k close neighbors, but also has long-range connections. At a similar time, it was observed in human social and sexual networks and on the Internet that the number of neighbors of an individual or computer has a power law distribution. This inspired Barabasi and Albert to define the preferential attachment model, which has these properties. These two papers have led to an explosion of research. The purpose of this book is to use a wide variety of mathematical argument to obtain insights into the properties of these graphs. A unique feature is the interest in the dynamics of process taking place on the graph in addition to their geometric properties, such as connectedness and diameter.

Sociophysics: An Introduction

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Publisher : OUP Oxford
ISBN 13 : 0191639451
Total Pages : 358 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis Sociophysics: An Introduction by : Parongama Sen

Download or read book Sociophysics: An Introduction written by Parongama Sen and published by OUP Oxford. This book was released on 2013-10-10 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the study and analysis of the physical aspects of social systems and models, inspired by the analogy with familiar models of physical systems and possible applications of statistical physics tools. Unlike the traditional analysis of the physics of macroscopic many-body or condensed matter systems, which is now an established and mature subject, the upsurge in the physical analysis and modelling of social systems, which are clearly many-body dynamical systems, is a recent phenomenon. Though the major developments in sociophysics have taken place only recently, the earliest attempts of proposing "Social Physics" as a discipline are more than one and a half centuries old. Various developments in the mainstream physics of condensed matter systems have inspired and induced the recent growth of sociophysical analysis and models. In spite of the tremendous efforts of many scientists in recent years, the subject is still in its infancy and major challenges are yet to be taken up. An introduction to these challenges is the main motivation for this book.

Dynamical Systems on Networks

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Publisher : Springer
ISBN 13 : 3319266411
Total Pages : 91 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Dynamical Systems on Networks by : Mason Porter

Download or read book Dynamical Systems on Networks written by Mason Porter and published by Springer. This book was released on 2016-03-31 with total page 91 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a tutorial for the study of dynamical systems on networks. It discusses both methodology and models, including spreading models for social and biological contagions. The authors focus especially on “simple” situations that are analytically tractable, because they are insightful and provide useful springboards for the study of more complicated scenarios. This tutorial, which also includes key pointers to the literature, should be helpful for junior and senior undergraduate students, graduate students, and researchers from mathematics, physics, and engineering who seek to study dynamical systems on networks but who may not have prior experience with graph theory or networks. Mason A. Porter is Professor of Nonlinear and Complex Systems at the Oxford Centre for Industrial and Applied Mathematics, Mathematical Institute, University of Oxford, UK. He is also a member of the CABDyN Complexity Centre and a Tutorial Fellow of Somerville College. James P. Gleeson is Professor of Industrial and Applied Mathematics, and co-Director of MACSI, at the University of Limerick, Ireland.

Networks, Crowds, and Markets

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Publisher : Cambridge University Press
ISBN 13 : 1139490303
Total Pages : 745 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Networks, Crowds, and Markets by : David Easley

Download or read book Networks, Crowds, and Markets written by David Easley and published by Cambridge University Press. This book was released on 2010-07-19 with total page 745 pages. Available in PDF, EPUB and Kindle. Book excerpt: Are all film stars linked to Kevin Bacon? Why do the stock markets rise and fall sharply on the strength of a vague rumour? How does gossip spread so quickly? Are we all related through six degrees of separation? There is a growing awareness of the complex networks that pervade modern society. We see them in the rapid growth of the internet, the ease of global communication, the swift spread of news and information, and in the way epidemics and financial crises develop with startling speed and intensity. This introductory book on the new science of networks takes an interdisciplinary approach, using economics, sociology, computing, information science and applied mathematics to address fundamental questions about the links that connect us, and the ways that our decisions can have consequences for others.

Modelling Norms

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Publisher : Springer Science & Business Media
ISBN 13 : 9400770529
Total Pages : 216 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Modelling Norms by : Corinna Elsenbroich

Download or read book Modelling Norms written by Corinna Elsenbroich and published by Springer Science & Business Media. This book was released on 2013-07-05 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book focusses on questions of individual and collective action, the emergence and dynamics of social norms and the feedback between individual behaviour and social phenomena. It discusses traditional modelling approaches to social norms and shows the usefulness of agent-based modelling for the study of these micro-macro interactions. Existing agent-based models of social norms are discussed and it is shown that so far too much priority has been given to parsimonious models and questions of the emergence of norms, with many aspects of social norms, such as norm-change, not being modelled. Juvenile delinquency, group radicalisation and moral decision making are used as case studies for agent-based models of collective action extending existing models by providing an embedding into social networks, social influence via argumentation and a causal action theory of moral decision making. The major contribution of the book is to highlight the multifaceted nature of the dynamics of social norms, consisting not only of emergence, and the importance of embedding of agent-based models into existing theory.

Random Graphs and Complex Networks

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Publisher : Cambridge University Press
ISBN 13 : 110717287X
Total Pages : 341 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Random Graphs and Complex Networks by : Remco van der Hofstad

Download or read book Random Graphs and Complex Networks written by Remco van der Hofstad and published by Cambridge University Press. This book was released on 2017 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classroom-tested text is the definitive introduction to the mathematics of network science, featuring examples and numerous exercises.

Collective Dynamics in Complex Networks of Noisy Phase Oscillators

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Publisher : Logos Verlag Berlin GmbH
ISBN 13 : 3832543759
Total Pages : 128 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Collective Dynamics in Complex Networks of Noisy Phase Oscillators by : Bernard Sonnenschein

Download or read book Collective Dynamics in Complex Networks of Noisy Phase Oscillators written by Bernard Sonnenschein and published by Logos Verlag Berlin GmbH. This book was released on 2016-11-21 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work aims to contribute to our understanding of the effects of noise and non-uniform interactions in populations of oscillatory units. In particular, we explore the collective dynamics in various extensions of the Kuramoto model. We develop a theoretical framework to study such noisy systems and we show through many examples that indeed new insights can be gained with our method. The first step is to coarse-grain the complex networks. The oscillatory units are then characterized solely by their individual quantities, so that identical units can be grouped together. The second step consists of the ansatz that in all these groups the distributions of the oscillators' phases follow time-dependent Gaussians. We apply this analytical two-step method to oscillator networks with correlations between coupling strengths and natural frequencies, to populations with mixed positive and negative coupling strengths, and to noise-driven active rotators, which can perform excitable dynamics. We calculate the rich phase diagrams that delineate the emergent rhythms. Extensive numerical simulations are performed to show both the validity and the limitations of our theoretical results.

Select Topics of Econophysics

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110987589
Total Pages : 484 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Select Topics of Econophysics by : Amit Sinha

Download or read book Select Topics of Econophysics written by Amit Sinha and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-11-04 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Economics requires understanding and analyzing forces that bring buyers and sellers to a market place who then negotiate exchanges of goods and services based on a mutually agreeable price. Economists have their own method of modeling whereby models are first conceived of some notion of economic and financial thinking, before being empirically tested, and anomalies are then recognized if the observed data is inconsistent with the hypothetical underpinning. This is in inherent contradiction with the modeling approaches of physicists who develop their theories, principle and laws after observing empirical data. The awareness that physics can enlighten the understanding of human behavior (and thus economics), and the interest of physicists in applying their training and models to understanding the complexities of finance and economics, led to the creation of a new field of study appropriately termed as Econophysics. Selected Topics on Econophysics is a collection of essays on topics that enhance and enrich our understanding of economic modeling when the same rigor of modelling used by physicists is brought to developing financial and economic theories. These articles include discussions on modeling bitcoins, stock index modeling using geometric Brownian motion, agent-based modeling, wealth distribution modeling, as well as modeling related to fractal regression, and chaotic processes. This interdisciplinary book will interest researchers, graduate students and professionals in the fields of economics, finance as well as physics.

Collective Behavior in Complex Networked Systems under Imperfect Communication

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Publisher : Springer Nature
ISBN 13 : 9811615063
Total Pages : 269 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Collective Behavior in Complex Networked Systems under Imperfect Communication by : Jianquan Lu

Download or read book Collective Behavior in Complex Networked Systems under Imperfect Communication written by Jianquan Lu and published by Springer Nature. This book was released on 2021-07-06 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to explain how collective behavior is formed via local interactions under imperfect communication in complex networked systems. It also presents some new distributed protocols or algorithms for complex networked systems to comply with bandwidth limitation and tolerate communication delays. This book will be of particular interest to the readers due to the benefits: 1) it studies the effect of time delay and quantization on the collective behavior by non-smooth analytical technique and algebraic graph theory; 2) it introduces the event-based consensus method under delayed information transmission; In the meantime, it presents some novel approaches to handle the communication constraints in networked systems; 3) it gives some synchronization and control strategies for complex networked systems with limited communication abilities. Furthermore, it provides a consensus recovery approach for multi-agent systems with node failure. Also, it presents interesting results about bipartite consensus and fixed-time/finite-time bipartite consensus of networks with cooperative and antagonistic interactions.

The Economics of Interfirm Networks

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Publisher : Springer
ISBN 13 : 4431553908
Total Pages : 265 pages
Book Rating : 4.4/5 (315 download)

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Book Synopsis The Economics of Interfirm Networks by : Tsutomu Watanabe

Download or read book The Economics of Interfirm Networks written by Tsutomu Watanabe and published by Springer. This book was released on 2015-06-02 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is one of the first comprehensive works to fill the knowledge gap resulting from the limited number of empirical studies on interfirm networks. The in-depth empirical research presented here is based on a massive transaction relationship database of approximately 400,000 Japanese firms. This volume, unlike others, focuses on the role of interfirm networks in three different fields: (1) macroeconomic activities, (2) economic geography and firm dynamics, and (3) firm–bank relationships. The database for this work is constructed in collaboration with Japan's largest credit research company, Teikoku Data Bank, and covers a substantial portion of Japanese firms with information on firms' transaction partners, shareholders, financial institutions, and other attributes, including their locations and performance. Networks prevail in many aspects of economic activities and play a major role in explaining a wide variety of economic phenomena from business cycles to knowledge spillovers, which has motivated economists to produce a number of excellent works. In the policy arena, there has been a growing concern on the vulnerabilities of networks based on the casual observation that idiosyncratic shocks on firms can be amplified through inter-firm connections and leads to a systemic crisis. Typical examples are the manufacturing supply-chain networks in the automobile and electronics industries which propagated regionally concentrated shocks (the Great East Japan Earthquake and floods in Thailand in 2011) into global ones. An abundance of theoretical literature on the formation and functions of networks is available already. This book breaks new ground, however, and provides an excellent opportunity for the reader to gain a more integrated understanding of the role of networks in the economy. The Economics of Interfirm Networks will be of special interest to economists and practitioners seeking empirical and quantitative knowledge on interfirm and firm–bank networks.

Complex Networks

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Publisher : Springer
ISBN 13 : 3642255019
Total Pages : 227 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Complex Networks by : Luciano da F. Costa

Download or read book Complex Networks written by Luciano da F. Costa and published by Springer. This book was released on 2011-11-11 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the Second International Workshop on Complex Networks, CompleNet 2010, which was held in Rio de Janeiro, Brazil, in October 2010. The 21 revised papers presented were carefully reviewed and selected from 48 submissions. The topics covered include: community structure, network metrics, network models, effect of topology to epidemics, algorithms to classify networks, self-organized algorithms applied to complex networks, as well as many applications of complex networks in biology, image analysis, software development, traffic congestion, language and speech, sensor networks, and synchronization.

Graph Theory and Complex Networks

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Author :
Publisher : Maarten Van Steen
ISBN 13 : 9789081540612
Total Pages : 285 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Graph Theory and Complex Networks by : Maarten van Steen

Download or read book Graph Theory and Complex Networks written by Maarten van Steen and published by Maarten Van Steen. This book was released on 2010 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to explain the basics of graph theory that are needed at an introductory level for students in computer or information sciences. To motivate students and to show that even these basic notions can be extremely useful, the book also aims to provide an introduction to the modern field of network science. Mathematics is often unnecessarily difficult for students, at times even intimidating. For this reason, explicit attention is paid in the first chapters to mathematical notations and proof techniques, emphasizing that the notations form the biggest obstacle, not the mathematical concepts themselves. This approach allows to gradually prepare students for using tools that are necessary to put graph theory to work: complex networks. In the second part of the book the student learns about random networks, small worlds, the structure of the Internet and the Web, peer-to-peer systems, and social networks. Again, everything is discussed at an elementary level, but such that in the end students indeed have the feeling that they: 1.Have learned how to read and understand the basic mathematics related to graph theory. 2.Understand how basic graph theory can be applied to optimization problems such as routing in communication networks. 3.Know a bit more about this sometimes mystical field of small worlds and random networks. There is an accompanying web site www.distributed-systems.net/gtcn from where supplementary material can be obtained, including exercises, Mathematica notebooks, data for analyzing graphs, and generators for various complex networks.