Handbook of Optimization in Complex Networks: Theory and Applications

Part 1: Basic Theory of Complex Networks1.Introduction to Graphs2.Models of networks: Random Models, Small World Models, and Recent Models on Power Law Networks3.Properties of Complex Networks Part 2: Structure and Dynamics of Complex Networks1. Communities Detection and their Evolution2. Complex system monitoring and measurements3. Models and Methods for Dynamic Network Analysis4.Phase Transitions on Complex Networks Part 3: Complex Networks Optimization Techniques1.Optimization and Approximation Algorithms on Power Law Networks2.Hardness and Inapproxamability Results3.Complexity of Several Problems in Complex Networks4.New Approximation Techniques for Optimal Substructure Problems5.Re-visit Several Classic Optimization Problems on Complex Networks6.Mathematical Tools in Data Analysis Part 4: Optimization in Complex Biological Systems1. Cells, gene and molecule systems2. Neuronal networks3. Epidemiology in complex systems4. Ecology systems5. Modeling evolution