Network Science Theory and Applications
by Lewis, Ted G.Edition: 1st
Format: Hardcover
Pub. Date: 2009-03-11
Publisher(s): Wiley
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Summary
The first comprehensive book on the emerging field of network science, Network Science: Theory and Applications is an exhaustive review of terms, ideas, and practices in the various areas of network science. In addition to introducing theory and application in easy-to-understand, topical chapters, this book describes the historical evolution of network science through the use of illustrations, tables, practice problems with solutions, case studies, and applications to related Java software. Researchers, professionals, and technicians in engineering, computing, and biology will benefit from this overview of new concepts in network science.
Author Biography
Ted G. Lewis, PhD, is Professor of Computer Science at the Naval Postgraduate School, Monterey, California. He has written over thirty books during the course of his extensive career. Dr. Lewis is the former vice president of digital strategy for Eastman Kodak.
Table of Contents
| Preface/Foreword | p. ix |
| Origins | p. 1 |
| What Is Network Science? | p. 5 |
| A Brief History of Network Science | p. 8 |
| General Principles | p. 19 |
| Graphs | p. 23 |
| Set-Theoretic Definition of a Graph | p. 25 |
| Matrix Algebra Definition of a Graph | p. 33 |
| The Bridges of Köet;nigsberg Graph | p. 38 |
| Spectral Properties of Graphs | p. 42 |
| Types of Graphs | p. 46 |
| Topological Structure | p. 54 |
| Graphs in Software | p. 63 |
| Exercises | p. 68 |
| Regular Networks | p. 71 |
| Diameter, Centrality, and Average Path Length | p. 74 |
| Binary Tree Network | p. 79 |
| Toroidal Network | p. 85 |
| Hypercube Networks | p. 89 |
| Exercises | p. 95 |
| Random Networks | p. 97 |
| Generation of Random Networks | p. 100 |
| Degree Distribution of Random Networks | p. 106 |
| Entropy of Random Networks | p. 110 |
| Properties of Random Networks | p. 118 |
| Weak Ties in Random Networks | p. 125 |
| Randomization of Regular Networks | p. 127 |
| Analysis | p. 128 |
| Exercises | p. 129 |
| Small-World Networks | p. 131 |
| Generating a Small-World Network | p. 135 |
| Properties of Small-World Networks | p. 142 |
| Phase Transition | p. 156 |
| Navigating Small Worlds | p. 160 |
| Weak Ties in Small-World Networks | p. 169 |
| Analysis | p. 171 |
| Exercises | p. 173 |
| Scale-Free Networks | p. 177 |
| Generating a Scale-Free Network | p. 180 |
| Properties of Scale-Free Networks | p. 190 |
| Navigation in Scale-Free Networks | p. 203 |
| Analysis | p. 207 |
| Exercises | p. 214 |
| Emergence | p. 217 |
| What is Network Emergence? | p. 219 |
| Emergence in the Sciences | p. 223 |
| Genetic Evolution | p. 225 |
| Designer Networks | p. 233 |
| Permutation Network Emergence | p. 243 |
| An Application of Emergence | p. 252 |
| Exercises | p. 258 |
| Epidemics | p. 261 |
| Epidemic Models | p. 264 |
| Persistent Epidemics in Networks | p. 275 |
| Network Epidemic Simulation Software | p. 287 |
| Countermeasures | p. 289 |
| Exercises | p. 297 |
| Synchrony | p. 299 |
| To Sync or Not to Sync | p. 300 |
| A Cricket Social Network | p. 307 |
| Kirchhoff Networks | p. 324 |
| Pointville Electric Power Grid | p. 331 |
| Exercises | p. 335 |
| Influence Networks | p. 337 |
| Anatomy of Buzz | p. 340 |
| Power in Social Networks | p. 347 |
| Conflict in I-Nets | p. 357 |
| Command Hierarchies | p. 360 |
| Emergent Power in I-Nets | p. 362 |
| Exercises | p. 371 |
| Vulnerability | p. 375 |
| Network Risk | p. 378 |
| Critical Node Analysis | p. 382 |
| Game Theory Considerations | p. 407 |
| The General Attacker-Defender Network Risk Problem | p. 408 |
| Critical Link Analysis | p. 410 |
| Stability Resilience in Kirchhoff Networks | p. 428 |
| Exercises | p. 430 |
| NetGain | p. 433 |
| Classical Diffusion Equations | p. 436 |
| Multiproduct Networks | p. 443 |
| Java Method for Netgain Emergence | p. 447 |
| Nascent Market Networks | p. 448 |
| Creative Destruction Networks | p. 453 |
| Merger and Acquisition Networks | p. 463 |
| Exercises | p. 466 |
| Biology | p. 469 |
| Static Models | p. 471 |
| Dynamic Analysis | p. 475 |
| Protein Expression Networks | p. 481 |
| Mass Kinetics Modeling | p. 484 |
| Exercises | p. 490 |
| Bibliography | p. 493 |
| About the Author | p. 503 |
| Index | p. 505 |
| Table of Contents provided by Ingram. All Rights Reserved. |
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