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Generating Random Networks and Graphs

Generating Random Networks and Graphs Author Ton Coolen
ISBN-10 9780191019814
Release 2017-03-16
Pages 310
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Generating random networks efficiently and accurately is an important challenge for practical applications, and an interesting question for theoretical study. This book presents and discusses common methods of generating random graphs. It begins with approaches such as Exponential Random Graph Models, where the targeted probability of each network appearing in the ensemble is specified. This section also includes degree-preserving randomisation algorithms, where the aim is to generate networks with the correct number of links at each node, and care must be taken to avoid introducing a bias. Separately, it looks at growth style algorithms (e.g. preferential attachment) which aim to model a real process and then to analyse the resulting ensemble of graphs. It also covers how to generate special types of graphs including modular graphs, graphs with community structure and temporal graphs. The book is aimed at the graduate student or advanced undergraduate. It includes many worked examples and open questions making it suitable for use in teaching. Explicit pseudocode algorithms are included throughout the book to make the ideas straightforward to apply. With larger and larger datasets, it is crucial to have practical and well-understood tools. Being able to test a hypothesis against a properly specified control case is at the heart of the 'scientific method'. Hence, knowledge on how to generate controlled and unbiased random graph ensembles is vital for anybody wishing to apply network science in their research.

The Generation of Random Networks and Graphs

The Generation of Random Networks and Graphs Author Coolen & Roberts
ISBN-10 0191780170
Release 2016
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The Generation of Random Networks and Graphs has been writing in one form or another for most of life. You can find so many inspiration from The Generation of Random Networks and Graphs also informative, and entertaining. Click DOWNLOAD or Read Online button to get full The Generation of Random Networks and Graphs book for free.

Random Graphs and Complex Networks

Random Graphs and Complex Networks Author Remco van der Hofstad
ISBN-10 9781107172876
Release 2016-12-22
Pages 375
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This classroom-tested text is the definitive introduction to the mathematics of network science, featuring examples and numerous exercises.

Gephi Cookbook

Gephi Cookbook Author Devangana Khokhar
ISBN-10 9781783987412
Release 2015-05-27
Pages 296
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If you want to learn network analysis and visualization along with graph concepts from scratch, then this book is for you. This is ideal for those of you with little or no understanding of Gephi and this domain, but will also be beneficial for those interested in expanding their knowledge and experience.

Handbook of Large Scale Random Networks

Handbook of Large Scale Random Networks Author Bela Bollobas
ISBN-10 9783540693956
Release 2010-05-17
Pages 600
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With the advent of digital computers more than half a century ago, - searchers working in a wide range of scienti?c disciplines have obtained an extremely powerful tool to pursue deep understanding of natural processes in physical, chemical, and biological systems. Computers pose a great ch- lenge to mathematical sciences, as the range of phenomena available for rigorous mathematical analysis has been enormously expanded, demanding the development of a new generation of mathematical tools. There is an explosive growth of new mathematical disciplines to satisfy this demand, in particular related to discrete mathematics. However, it can be argued that at large mathematics is yet to provide the essential breakthrough to meet the challenge. The required paradigm shift in our view should be compa- ble to the shift in scienti?c thinking provided by the Newtonian revolution over 300 years ago. Studies of large-scale random graphs and networks are critical for the progress, using methods of discrete mathematics, probabil- tic combinatorics, graph theory, and statistical physics. Recent advances in large scale random network studies are described in this handbook, which provides a signi?cant update and extension - yond the materials presented in the “Handbook of Graphs and Networks” published in 2003 by Wiley. The present volume puts special emphasis on large-scale networks and random processes, which deemed as crucial for - tureprogressinthe?eld. Theissuesrelatedtorandomgraphsandnetworks pose very di?cult mathematical questions.

Random Graph Dynamics

Random Graph Dynamics Author Rick Durrett
ISBN-10 9781139460880
Release 2006-10-23
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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.

Large Networks and Graph Limits

Large Networks and Graph Limits Author László Lovász
ISBN-10 9780821890851
Release 2012
Pages 475
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Recently, it became apparent that a large number of the most interesting structures and phenomena of the world can be described by networks. To develop a mathematical theory of very large networks is an important challenge. This book describes one recent approach to this theory, the limit theory of graphs which has emerged over the last decade.

Computational Science ICCS 2003

Computational Science   ICCS 2003 Author Peter Sloot
ISBN-10 9783540401957
Release 2003-05-22
Pages 1129
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The four-volume set LNCS 2657, LNCS 2658, LNCS 2659, and LNCS 2660 constitutes the refereed proceedings of the Third International Conference on Computational Science, ICCS 2003, held concurrently in Melbourne, Australia and in St. Petersburg, Russia in June 2003. The four volumes present more than 460 reviewed contributed and invited papers and span the whole range of computational science, from foundational issues in computer science and algorithmic mathematics to advanced applications in virtually all application fields making use of computational techniques. These proceedings give a unique account of recent results in the field.

Information Networking Networking Technologies for Broadband and Mobile Networks

Information Networking  Networking Technologies for Broadband and Mobile Networks Author Hyun-Kook Kahng
ISBN-10 9783540230342
Release 2004-08-31
Pages 1048
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This book constitutes the thoroughly refereed post proceedings of the International Conference on Information Networking, ICOIN 2004, held in Busan, Korea, in February 2004. The 104 revised full papers presented were carefully selected during two rounds of reviewing and revision. The papers are organized in topical sections on mobile Internet and ubiquitous computing; QoS, measurement and performance analysis; high-speed network technologies; next generation Internet architecture; security; and Internet applications.

Introduction to Random Graphs

Introduction to Random Graphs Author Alan Frieze
ISBN-10 9781107118508
Release 2015-10-31
Pages 496
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The text covers random graphs from the basic to the advanced, including numerous exercises and recommendations for further reading.

Probability on Graphs

Probability on Graphs Author Geoffrey Grimmett
ISBN-10 9781139488365
Release 2010-06-24
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This introduction to some of the principal models in the theory of disordered systems leads the reader through the basics, to the very edge of contemporary research, with the minimum of technical fuss. Topics covered include random walk, percolation, self-avoiding walk, interacting particle systems, uniform spanning tree, random graphs, as well as the Ising, Potts, and random-cluster models for ferromagnetism, and the Lorentz model for motion in a random medium. Schramm–Löwner evolutions (SLE) arise in various contexts. The choice of topics is strongly motivated by modern applications and focuses on areas that merit further research. Special features include a simple account of Smirnov's proof of Cardy's formula for critical percolation, and a fairly full account of the theory of influence and sharp-thresholds. Accessible to a wide audience of mathematicians and physicists, this book can be used as a graduate course text. Each chapter ends with a range of exercises.

Exponential Random Graph Models for Social Networks

Exponential Random Graph Models for Social Networks Author Dean Lusher
ISBN-10 9780521193566
Release 2012-11-19
Pages 336
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This book provides an account of the theoretical and methodological underpinnings of exponential random graph models (ERGMs).

Fundamentals of Complex Networks

Fundamentals of Complex Networks Author Guanrong Chen
ISBN-10 9781118718148
Release 2014-12-29
Pages 392
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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

Explosive Percolation in Random Networks

Explosive Percolation in Random Networks Author Wei Chen
ISBN-10 9783662437391
Release 2014-07-15
Pages 63
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This thesis is devoted to the study of the Bohman-Frieze-Wormald percolation model, which exhibits a discontinuous transition at the critical threshold, while the phase transitions in random networks are originally considered to be robust continuous phase transitions. The underlying mechanism that leads to the discontinuous transition in this model is carefully analyzed and many interesting critical behaviors, including multiple giant components, multiple phase transitions, and unstable giant components are revealed. These findings should also be valuable with regard to applications in other disciplines such as physics, chemistry and biology.

Dynamics On and Of Complex Networks

Dynamics On and Of Complex Networks Author Niloy Ganguly
ISBN-10 9780817647506
Release 2009-04-14
Pages 305
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This self-contained book systematically explores the statistical dynamics on and of complex networks having relevance across a large number of scientific disciplines. The theories related to complex networks are increasingly being used by researchers for their usefulness in harnessing the most difficult problems of a particular discipline. The book is a collection of surveys and cutting-edge research contributions exploring the interdisciplinary relationship of dynamics on and of complex networks. Topics covered include complex networks found in nature—genetic pathways, ecological networks, linguistic systems, and social systems—as well as man-made systems such as the World Wide Web and peer-to-peer networks. The contributed chapters in this volume are intended to promote cross-fertilization in several research areas, and will be valuable to newcomers in the field, experienced researchers, practitioners, and graduate students interested in systems exhibiting an underlying complex network structure in disciplines such as computer science, biology, statistical physics, nonlinear dynamics, linguistics, and the social sciences.

Random Graphs

Random Graphs Author Béla Bollobás
ISBN-10 0521797225
Release 2001-08-30
Pages 498
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This is a revised and updated version of the classic first edition.

Network Science

Network Science Author Albert-László Barabási
ISBN-10 9781107076266
Release 2016-07-21
Pages 475
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Illustrated throughout in full colour, this pioneering text is the only book you need for an introduction to network science.