Ebook: Network science: theory and applications

BA comprehensive look at the emerging science of networks/b 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: ulliOriginsli Graphsli Regular Networksli Random Networksli Small-World Networksli Scale-Free Networksli Emergenceli Epidemicsli Synchronyli Influence Networksli Vulnerabilityli Net Gainli Biology/ul 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.;""Title page""; ""Copyright page""; ""Preface/Foreword""; ""1 Origins""; ""1.1 What Is Network Science?""; ""1.2 A Brief History of Network Science""; ""1.3 General Principles""; ""2 Graphs""; ""2.1 Set-Theoretic Definition of a Graph""; ""2.2 Matrix Algebra Definition of a Graph""; ""2.3 The Bridges of Königsberg Graph""; ""2.4 Spectral Properties of Graphs""; ""2.5 Types of Graphs""; ""2.6 Topological Structure""; ""2.7 Graphs in Software""; ""2.8 Exercises""; ""3 Regular Networks""; ""3.1 Diameter Centrality and Average Path Length""; ""3.2 Binary Tree Network""; ""3.3 Toroidal Network""