Handbook of Optimization in Complex Networks Theory and Applications [Hardcover]

Complex Social Networks is a newly emerging (hot) topic with applications in a variety of domains, such as communication networks, engineering networks, social networks, and biological networks. In the last decade, there has been an explosive growth of research on complex real-world networks, a theme that is becoming pervasive in many disciplines, ranging from mathematics and computer science to the social and biological sciences.Optimization of complex communication networks requires a deep understanding of the interplay between the dynamics of the physical network and the information dynamics within the network.Although there are a few books addressing social networks or complex networks, none of them has specially focused on the optimization perspective of studying these networks. This book provides the basic theory of complex networks with several new mathematical approaches and optimization techniques to design and analyze dynamic complex networks.A wide range of applications and optimization problems derived from research areas such as cellular and molecular chemistry, operations research, brain physiology, epidemiology, and ecology.This book reviews the theory of complex networks, and offers approaches and optimization techniques to design and analyze dynamic complex networks. Includes problems derived from cellular and molecular chemistry, operations research, epidemiology, and ecology.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 NetworksPart 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 NetworksPart 3: Complex Networks Optimization Techniques1.Optimization and Approximation Algorithms on Power Law Networks2.Hardness and Inapproxamability Rel#§