A First Course In Network Theory

Author : Ernesto Estrada,Philip A. Knight
Publisher : OUP Oxford
Page : 320 pages
File Size : 46,7 Mb
Release : 2015-03-27
Category : Science
ISBN : 9780191039928

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A First Course in Network Theory by Ernesto Estrada,Philip A. Knight Pdf

The study of network theory is a highly interdisciplinary field, which has emerged as a major topic of interest in various disciplines ranging from physics and mathematics, to biology and sociology. This book promotes the diverse nature of the study of complex networks by balancing the needs of students from very different backgrounds. It references the most commonly used concepts in network theory, provides examples of their applications in solving practical problems, and clear indications on how to analyse their results. In the first part of the book, students and researchers will discover the quantitative and analytical tools necessary to work with complex networks, including the most basic concepts in network and graph theory, linear and matrix algebra, as well as the physical concepts most frequently used for studying networks. They will also find instruction on some key skills such as how to proof analytic results and how to manipulate empirical network data. The bulk of the text is focused on instructing readers on the most useful tools for modern practitioners of network theory. These include degree distributions, random networks, network fragments, centrality measures, clusters and communities, communicability, and local and global properties of networks. The combination of theory, example and method that are presented in this text, should ready the student to conduct their own analysis of networks with confidence and allow teachers to select appropriate examples and problems to teach this subject in the classroom.

Author : Ernesto Estrada,Philip A. Knight
Publisher : Oxford University Press, USA
Page : 269 pages
File Size : 51,9 Mb
Release : 2015
Category : Science
ISBN : 9780198726456

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A First Course in Network Theory by Ernesto Estrada,Philip A. Knight Pdf

The study of network theory is a highly interdisciplinary field, which has emerged as a major topic of interest in various disciplines ranging from physics and mathematics, to biology and sociology. This book promotes the diverse nature of the study of complex networks by balancing the needs of students from very different backgrounds. It references the most commonly used concepts in network theory, provides examples of their applications in solving practical problems, and clear indications on how to analyse their results. In the first part of the book, students and researchers will discover the quantitative and analytical tools necessary to work with complex networks, including the most basic concepts in network and graph theory, linear and matrix algebra, as well as the physical concepts most frequently used for studying networks. They will also find instruction on some key skills such as how to proof analytic results and how to manipulate empirical network data. The bulk of the text is focused on instructing readers on the most useful tools for modern practitioners of network theory. These include degree distributions, random networks, network fragments, centrality measures, clusters and communities, communicability, and local and global properties of networks. The combination of theory, example and method that are presented in this text, should ready the student to conduct their own analysis of networks with confidence and allow teachers to select appropriate examples and problems to teach this subject in the classroom.

Author : Filippo Menczer,Santo Fortunato,Clayton A. Davis
Publisher : Cambridge University Press
Page : 275 pages
File Size : 41,6 Mb
Release : 2020-01-30
Category : Business & Economics
ISBN : 9781108471138

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A First Course in Network Science by Filippo Menczer,Santo Fortunato,Clayton A. Davis Pdf

A practical introduction to network science for students across business, cognitive science, neuroscience, sociology, biology, engineering and other disciplines.

Author : Raymond W. Yeung
Publisher : Springer Science & Business Media
Page : 426 pages
File Size : 40,5 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781441986085

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A First Course in Information Theory by Raymond W. Yeung Pdf

This book provides an up-to-date introduction to information theory. In addition to the classical topics discussed, it provides the first comprehensive treatment of the theory of I-Measure, network coding theory, Shannon and non-Shannon type information inequalities, and a relation between entropy and group theory. ITIP, a software package for proving information inequalities, is also included. With a large number of examples, illustrations, and original problems, this book is excellent as a textbook or reference book for a senior or graduate level course on the subject, as well as a reference for researchers in related fields.

Author : Ted G. Lewis
Publisher : John Wiley & Sons
Page : 440 pages
File Size : 54,5 Mb
Release : 2011-09-20
Category : Computers
ISBN : 9781118211014

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Network Science by Ted G. Lewis Pdf

A comprehensive look at the emerging science of networks Network science helps you design faster, more resilient communication networks; revise infrastructure systems such as electrical power grids, telecommunications networks, and airline routes; model market dynamics; understand synchronization in biological systems; and analyze social interactions among people. This is the first book to take a comprehensive look at this emerging science. It examines the various kinds of networks (regular, random, small-world, influence, scale-free, and social) and applies network processes and behaviors to emergence, epidemics, synchrony, and risk. The book's uniqueness lies in its integration of concepts across computer science, biology, physics, social network analysis, economics, and marketing. The book is divided into easy-to-understand topical chapters and the presentation is augmented with clear illustrations, problems and answers, examples, applications, tutorials, and a discussion of related Java software. Chapters cover: Origins Graphs Regular Networks Random Networks Small-World Networks Scale-Free Networks Emergence Epidemics Synchrony Influence Networks Vulnerability Net Gain Biology This book offers a new understanding and interpretation of the field of network science. It is an indispensable resource for researchers, professionals, and technicians in engineering, computing, and biology. It also serves as a valuable textbook for advanced undergraduate and graduate courses in related fields of study.

Author : Albert-László Barabási,Márton PÃ3sfai
Publisher : Cambridge University Press
Page : 477 pages
File Size : 44,5 Mb
Release : 2016-07-21
Category : Computers
ISBN : 9781107076266

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Network Science by Albert-László Barabási,Márton PÃ3sfai Pdf

Illustrated throughout in full colour, this pioneering text is the only book you need for an introduction to network science.

Author : Maarten van Steen
Publisher : Maarten Van Steen
Page : 285 pages
File Size : 41,5 Mb
Release : 2010
Category : Graph theory
ISBN : 9081540610

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Graph Theory and Complex Networks by Maarten van Steen Pdf

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.

Author : Abbas El Gamal,Young-Han Kim
Publisher : Cambridge University Press
Page : 128 pages
File Size : 42,7 Mb
Release : 2011-12-08
Category : Technology & Engineering
ISBN : 9781139503143

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Network Information Theory by Abbas El Gamal,Young-Han Kim Pdf

This comprehensive treatment of network information theory and its applications provides the first unified coverage of both classical and recent results. With an approach that balances the introduction of new models and new coding techniques, readers are guided through Shannon's point-to-point information theory, single-hop networks, multihop networks, and extensions to distributed computing, secrecy, wireless communication, and networking. Elementary mathematical tools and techniques are used throughout, requiring only basic knowledge of probability, whilst unified proofs of coding theorems are based on a few simple lemmas, making the text accessible to newcomers. Key topics covered include successive cancellation and superposition coding, MIMO wireless communication, network coding, and cooperative relaying. Also covered are feedback and interactive communication, capacity approximations and scaling laws, and asynchronous and random access channels. This book is ideal for use in the classroom, for self-study, and as a reference for researchers and engineers in industry and academia.

Author : Gary Chartrand,Ping Zhang
Publisher : Courier Corporation
Page : 464 pages
File Size : 47,7 Mb
Release : 2013-05-20
Category : Mathematics
ISBN : 9780486297309

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A First Course in Graph Theory by Gary Chartrand,Ping Zhang Pdf

Written by two prominent figures in the field, this comprehensive text provides a remarkably student-friendly approach. Its sound yet accessible treatment emphasizes the history of graph theory and offers unique examples and lucid proofs. 2004 edition.

Author : Louis L. Scharf,Richard T. Behrens
Publisher : Addison Wesley Publishing Company
Page : 294 pages
File Size : 46,9 Mb
Release : 1990
Category : Computers
ISBN : UOM:39015023298428

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A First Course in Electrical and Computer Engineering by Louis L. Scharf,Richard T. Behrens Pdf

Author : Raymond W. Yeung
Publisher : Springer Science & Business Media
Page : 592 pages
File Size : 52,7 Mb
Release : 2008-09-10
Category : Computers
ISBN : 9780387792330

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Information Theory and Network Coding by Raymond W. Yeung Pdf

This book is an evolution from my book A First Course in Information Theory published in 2002 when network coding was still at its infancy. The last few years have witnessed the rapid development of network coding into a research ?eld of its own in information science. With its root in infor- tion theory, network coding has not only brought about a paradigm shift in network communications at large, but also had signi?cant in?uence on such speci?c research ?elds as coding theory, networking, switching, wireless c- munications,distributeddatastorage,cryptography,andoptimizationtheory. While new applications of network coding keep emerging, the fundamental - sults that lay the foundation of the subject are more or less mature. One of the main goals of this book therefore is to present these results in a unifying and coherent manner. While the previous book focused only on information theory for discrete random variables, the current book contains two new chapters on information theory for continuous random variables, namely the chapter on di?erential entropy and the chapter on continuous-valued channels. With these topics included, the book becomes more comprehensive and is more suitable to be used as a textbook for a course in an electrical engineering department.

Author : My T. Thai,Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 544 pages
File Size : 44,6 Mb
Release : 2011-11-25
Category : Mathematics
ISBN : 9781461408574

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Handbook of Optimization in Complex Networks by My T. Thai,Panos M. Pardalos Pdf

Complex Social Networks is a newly emerging (hot) topic with applications in a variety of domains, such as communication networks, engineering networks, social networks, and biological networks. In the last decade, there has been an explosive growth of research on complex real-world networks, a theme that is becoming pervasive in many disciplines, ranging from mathematics and computer science to the social and biological sciences. Optimization of complex communication networks requires a deep understanding of the interplay between the dynamics of the physical network and the information dynamics within the network. Although there are a few books addressing social networks or complex networks, none of them has specially focused on the optimization perspective of studying these networks. This book provides the basic theory of complex networks with several new mathematical approaches and optimization techniques to design and analyze dynamic complex networks. A wide range of applications and optimization problems derived from research areas such as cellular and molecular chemistry, operations research, brain physiology, epidemiology, and ecology.

Author : Bruno Latour
Publisher : OUP Oxford
Page : 312 pages
File Size : 43,9 Mb
Release : 2007-09-06
Category : Social Science
ISBN : 9780191622892

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Reassembling the Social by Bruno Latour Pdf

Reassembling the Social is a fundamental challenge from one of the world's leading social theorists to how we understand society and the 'social'. Bruno Latour's contention is that the word 'social', as used by Social Scientists, has become laden with assumptions to the point where it has become misnomer. When the adjective is applied to a phenomenon, it is used to indicate a stablilized state of affairs, a bundle of ties that in due course may be used to account for another phenomenon. But Latour also finds the word used as if it described a type of material, in a comparable way to an adjective such as 'wooden' or 'steely'. Rather than simply indicating what is already assembled together, it is now used in a way that makes assumptions about the nature of what is assembled. It has become a word that designates two distinct things: a process of assembling; and a type of material, distinct from others. Latour shows why 'the social' cannot be thought of as a kind of material or domain, and disputes attempts to provide a 'social explanations' of other states of affairs. While these attempts have been productive (and probably necessary) in the past, the very success of the social sciences mean that they are largely no longer so. At the present stage it is no longer possible to inspect the precise constituents entering the social domain. Latour returns to the original meaning of 'the social' to redefine the notion, and allow it to trace connections again. It will then be possible to resume the traditional goal of the social sciences, but using more refined tools. Drawing on his extensive work examining the 'assemblages' of nature, Latour finds it necessary to scrutinize thoroughly the exact content of what is assembled under the umbrella of Society. This approach, a 'sociology of associations', has become known as Actor-Network-Theory, and this book is an essential introduction both for those seeking to understand Actor-Network Theory, or the ideas of one of its most influential proponents.

Author : Alan Frieze,Michał Karoński
Publisher : Cambridge University Press
Page : 234 pages
File Size : 41,9 Mb
Release : 2023-03-09
Category : Mathematics
ISBN : 9781009260312

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Random Graphs and Networks: A First Course by Alan Frieze,Michał Karoński Pdf

Networks surround us, from social networks to protein–protein interaction networks within the cells of our bodies. The theory of random graphs provides a necessary framework for understanding their structure and development. This text provides an accessible introduction to this rapidly expanding subject. It covers all the basic features of random graphs – component structure, matchings and Hamilton cycles, connectivity and chromatic number – before discussing models of real-world networks, including intersection graphs, preferential attachment graphs and small-world models. Based on the authors' own teaching experience, it can be used as a textbook for a one-semester course on random graphs and networks at advanced undergraduate or graduate level. The text includes numerous exercises, with a particular focus on developing students' skills in asymptotic analysis. More challenging problems are accompanied by hints or suggestions for further reading.

Author : Jean-Yves Le Boudec,Patrick Thiran
Publisher : Springer
Page : 276 pages
File Size : 41,9 Mb
Release : 2003-08-06
Category : Computers
ISBN : 9783540453185

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Network Calculus by Jean-Yves Le Boudec,Patrick Thiran Pdf

Network Calculus is a set of recent developments that provide deep insights into flow problems encountered in the Internet and in intranets. The first part of the book is a self-contained, introductory course on network calculus. It presents the core of network calculus, and shows how it can be applied to the Internet to obtain results that have physical interpretations of practical importance to network engineers. The second part serves as a mathematical reference used across the book. It presents the results from Min-plus algebra needed for network calculus. The third part contains more advanced material. It is appropriate reading for a graduate course and a source of reference for professionals in networking by surveying the state of the art of research and pointing to open problems in network calculus and its application in different fields, such as mulitmedia smoothing, aggegate scheduling, adaptive guarantees in Internet differential services, renegotiated reserved services, etc.