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| Preface/Foreword | |
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| Origins | |
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| What Is Network Science? | |
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| A Brief History of Network Science | |
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| General Principles | |
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| Graphs | |
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| Set-Theoretic Definition of a Graph | |
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| Matrix Algebra Definition of a Graph | |
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| The Bridges of Köet;nigsberg Graph | |
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| Spectral Properties of Graphs | |
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| Types of Graphs | |
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| Topological Structure | |
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| Graphs in Software | |
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| Exercises | |
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| Regular Networks | |
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| Diameter, Centrality, and Average Path Length | |
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| Binary Tree Network | |
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| Toroidal Network | |
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| Hypercube Networks | |
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| Exercises | |
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| Random Networks | |
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| Generation of Random Networks | |
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| Degree Distribution of Random Networks | |
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| Entropy of Random Networks | |
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| Properties of Random Networks | |
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| Weak Ties in Random Networks | |
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| Randomization of Regular Networks | |
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| Analysis | |
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| Exercises | |
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| Small-World Networks | |
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| Generating a Small-World Network | |
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| Properties of Small-World Networks | |
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| Phase Transition | |
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| Navigating Small Worlds | |
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| Weak Ties in Small-World Networks | |
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| Analysis | |
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| Exercises | |
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| Scale-Free Networks | |
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| Generating a Scale-Free Network | |
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| Properties of Scale-Free Networks | |
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| Navigation in Scale-Free Networks | |
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| Analysis | |
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| Exercises | |
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| Emergence | |
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| What is Network Emergence? | |
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| Emergence in the Sciences | |
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| Genetic Evolution | |
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| Designer Networks | |
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| Permutation Network Emergence | |
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| An Application of Emergence | |
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| Exercises | |
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| Epidemics | |
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| Epidemic Models | |
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| Persistent Epidemics in Networks | |
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| Network Epidemic Simulation Software | |
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| Countermeasures | |
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| Exercises | |
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| Synchrony | |
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| To Sync or Not to Sync | |
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| A Cricket Social Network | |
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| Kirchhoff Networks | |
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| Pointville Electric Power Grid | |
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| Exercises | |
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| Influence Networks | |
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| Anatomy of Buzz | |
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| Power in Social Networks | |
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| Conflict in I-Nets | |
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| Command Hierarchies | |
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| Emergent Power in I-Nets | |
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| Exercises | |
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| Vulnerability | |
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| Network Risk | |
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| Critical Node Analysis | |
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| Game Theory Considerations | |
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| The General Attacker-Defender Network Risk Problem | |
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| Critical Link Analysis | |
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| Stability Resilience in Kirchhoff Networks | |
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| Exercises | |
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| NetGain | |
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| Classical Diffusion Equations | |
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| Multiproduct Networks | |
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| Java Method for Netgain Emergence | |
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| Nascent Market Networks | |
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| Creative Destruction Networks | |
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| Merger and Acquisition Networks | |
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| Exercises | |
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| Biology | |
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| Static Models | |
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| Dynamic Analysis | |
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| Protein Expression Networks | |
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| Mass Kinetics Modeling | |
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| Exercises | |
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| Bibliography | |
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| About the Author | |
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| Index | |