Inhaltsangabe1. ORIGINS. 1.1 What is Network Science?. 1.2 A Brief History of Network Science. 1.3 General Principles. 2. GRAPHS. 2.1 Set Theoretical Definition of a Graph. 2.2 Matrix Algebra Definition of a 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. 3.4 Hypercube Networks. 3.5 Exercises. 4. RANDOM NETWORKS. 4.1 Generation of Random Networks. 4.2 Degree Distribution of Random Networks. 4.3 Entropy of Random Networks. 4.4 Diameter, Centrality, and Closeness in Random Networks. 4.5. Weak Ties in Random Networks. 4.6 Randomization of Regular Networks. 4.7 Analysis. 4.8 Exercises. 5. SMALL WORLD NETWORKS. 5.1 Generating a Small World Network. 5.2 Properties of Small World Networks. 5.3 Phase Transition. 5.4 Navigating Small Worlds. 5.5 Weak Ties in Small World Networks. 5.6 Analysis. 5.7 Exercises. 6. SCALE FREE NETWORKS. 6.1 Generating a Scale-Free Network. 6.2 Properties of Scale-Free Networks. 6.3 Navigation in Scale-Free Networks. 6.4 Analysis. 6.5 Exercises. 7. EMERGENCE. 7.1 What is Network Emergence?. 7.2 Emergence in the Sciences. 7.3 Genetic Evolution. 7.4 Designer Networks. 7.5 Permutation Network Emergence. 7.6 An Application of Emergence. 7.7 Exercises. 8. EPIDEMICS. 8.1. Epidemic Models. 8.2 Persistent Epidemics in Networks. 8.3 Network Epidemic Simulation Software. 8.4 Countermeasures. 8.5 Exercises. 9. SYNCHRONY. 9.1 To Sync or Not To Sync. 9.2 A Cricket Social Network. 9.3 Kirchhoff Networks. 9.4 Anatomy of Buzz. 9.5 Exercises. 10. INFLUENCE NETWORKS. 10.1 Anatomy of Buzz. 10.2 Power in Social Networks. 10.3 Conflict in I-nets. 10.4 Command Hierarchies. 10.5 Emergent Power in I-nets. 10.6 Exercises. 11. VULNERABILITY. 11.1 Network Risk. 11.2 Critical Node Analysis. 11.3 Game Theory Considerations. 11.4 The General Attacker-Defender Network Risk Problem. 11.5 Critical Link Analysis. Table 11.4 Allocation of Resources via Flow Analysis. 11.6 Stability Resilience in Kirchhoff Networks. 11.6 Exercises. 12. NETGAIN. 12.1 Classical Diffusion Equations. 12.2 MultiProduct Networks. 12.3 Java Method for Netgain Emergence. 12.4 Nascent Market Networks. 12.5 Creative Destruction Networks. 12.6 Merger & Acquisition Networks. 12.7 Exercises. 13. BIOLOGY. 13.1 Static Models. 13.2 Dynamic Analysis. 13.3 Protein Expression Networks. 13.4 Mass Kinetics Modeling. 13.5 Exercises.

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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 Theoretical Definition of a Graph. 2.2 Matrix Algebra Definition of a 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. 3.4 Hypercube Networks. 3.5 Exercises. 4. RANDOM NETWORKS. 4.1 Generation of Random Networks. 4.2 Degree Distribution of Random Networks. 4.3 Entropy of Random Networks. 4.4 Diameter, Centrality, and Closeness in Random Networks. 4.5. Weak Ties in Random Networks. 4.6 Randomization of Regular Networks. 4.7 Analysis. 4.8 Exercises. 5. SMALL WORLD NETWORKS. 5.1 Generating a Small World Network. 5.2 Properties of Small World Networks. 5.3 Phase Transition. 5.4 Navigating Small Worlds. 5.5 Weak Ties in Small World Networks. 5.6 Analysis. 5.7 Exercises. 6. SCALE FREE NETWORKS. 6.1 Generating a Scale-Free Network. 6.2 Properties of Scale-Free Networks. 6.3 Navigation in Scale-Free Networks. 6.4 Analysis. 6.5 Exercises. 7. EMERGENCE. 7.1 What is Network Emergence?. 7.2 Emergence in the Sciences. 7.3 Genetic Evolution. 7.4 Designer Networks. 7.5 Permutation Network Emergence. 7.6 An Application of Emergence. 7.7 Exercises. 8. EPIDEMICS. 8.1. Epidemic Models. 8.2 Persistent Epidemics in Networks. 8.3 Network Epidemic Simulation Software. 8.4 Countermeasures. 8.5 Exercises. 9. SYNCHRONY. 9.1 To Sync or Not To Sync. 9.2 A Cricket Social Network. 9.3 Kirchhoff Networks. 9.4 Anatomy of Buzz. 9.5 Exercises. 10. INFLUENCE NETWORKS. 10.1 Anatomy of Buzz. 10.2 Power in Social Networks. 10.3 Conflict in I-nets. 10.4 Command Hierarchies. 10.5 Emergent Power in I-nets. 10.6 Exercises. 11. VULNERABILITY. 11.1 Network Risk. 11.2 Critical Node Analysis. 11.3 Game Theory Considerations. 11.4 The General Attacker-Defender Network Risk Problem. 11.5 Critical Link Analysis. Table 11.4 Allocation of Resources via Flow Analysis. 11.6 Stability Resilience in Kirchhoff Networks. 11.6 Exercises. 12. NETGAIN. 12.1 Classical Diffusion Equations. 12.2 Multi-Product Networks. 12.3 Java Method for Netgain Emergence. 12.4 Nascent Market Networks. 12.5 Creative Destruction Networks. 12.6 Merger & Acquisition Networks. 12.7 Exercises. 13. BIOLOGY. 13.1 Static Models. 13.2 Dynamic Analysis. 13.3 Protein Expression Networks. 13.4 Mass Kinetics Modeling. 13.5 Exercises.