Fundamentals of complex networks :
Chen, G.
Fundamentals of complex networks : models, structures, and dynamics / Guanrong Chen, City University of Hong Kong, China, Xiaofan Wang, Shanghai Jiao Tong University, Shanghai, China, Xiang Li, Fudan University, Shanghai, China. - 1 online resource.
Includes bibliographical references and index.
Title Page; Copyright; About the Authors; Preface; Acknowledgements; Part One: Fundamental Theory; Chapter 1: Introduction; 1.1 Background and Motivation; 1.2 A Brief History of Complex Network Research; 1.3 New Era of Complex-Network Studies; Exercises; References; Chapter 2: Preliminaries; 2.1 Elementary Graph Theory; 2.2 Elementary Probability and Statistics; 2.3 Elementary Dynamical Systems Theory; Exercises; References; Chapter 3: Network Topologies: Basic Models and Properties; 3.1 Introduction; 3.2 Regular Networks; 3.3 ER Random-Graph Model; 3.4 Small-World Network Models 3.5 Navigable Small-World Network Model3.6 Scale-Free Network Models; Exercises; References; Part Two: Applications -- Selected Topics; Chapter 4: Internet: Topology and Modeling; 4.1 Introduction; 4.2 Topological Properties of the Internet; 4.3 Random-Graph Network Topology Generator; 4.4 Structural Network Topology Generators; 4.5 Connectivity-Based Network Topology Generators; 4.6 Multi-Local-World Model; 4.7 HOT Model; 4.8 Dynamical Behaviors of the Internet Topological Characteristics; 4.9 Traffic Fluctuation on Weighted Networks; References; Chapter 5: Epidemic Spreading Dynamics 5.1 Introduction5.2 Epidemic Threshold Theory; 5.3 Epidemic Spreading on Spatial Networks; 5.4 Immunization on Complex Networks; 5.5 Computer Virus Spreading over the Internet; References; Chapter 6: Community Structures; 6.1 Introduction; 6.2 Community Structure and Modularity; 6.3 Modularity-Based Community Detecting Algorithms; 6.4 Other Community Partitioning Schemes; 6.5 Some Recent Progress; References; Chapter 7: Network Games; 7.1 Introduction; 7.2 Two-Player/Two-Strategy Evolutionary Games on Networks; 7.3 Multi-Player/Two-Strategy Evolutionary Games on Networks 7.4 Adaptive Evolutionary Games on NetworksReferences; Chapter 8: Network Synchronization; 8.1 Introduction; 8.2 Complete Synchronization of Continuous-Time Networks; 8.3 Complete Synchronization of Some Typical Dynamical Networks; 8.4 Phase Synchronization; References; Chapter 9: Network Control; 9.1 Introduction; 9.2 Spatiotemporal Chaos Control on Regular CML; 9.3 Pinning Control of Complex Networks; 9.4 Pinning Control of General Complex Networks; 9.5 Time-Delay Pinning Control of Complex Networks; 9.6 Consensus and Flocking Control; References Chapter 10: Brief Introduction to Other Topics10.1 Human Opinion Dynamics; 10.2 Human Mobility and Behavioral Dynamics; 10.3 Web PageRank, SiteRank and BrowserRank; 10.4 Recommendation Systems; 10.5 Network Edge Prediction; 10.6 Living Organisms and Bionetworks; 10.7 Cascading Reactions on Networks; References; Index; End User License Agreement
9781118718148 1118718143 9781118718131 1118718135 9781118718124 1118718127 1118718119 (cloth) 9781118718117 (cloth)
2014037424
System theory.
SCIENCE--System Theory.
TECHNOLOGY & ENGINEERING--Operations Research.
System theory.
Electronic books.
Electronic books.
Q295
003/.72
Fundamentals of complex networks : models, structures, and dynamics / Guanrong Chen, City University of Hong Kong, China, Xiaofan Wang, Shanghai Jiao Tong University, Shanghai, China, Xiang Li, Fudan University, Shanghai, China. - 1 online resource.
Includes bibliographical references and index.
Title Page; Copyright; About the Authors; Preface; Acknowledgements; Part One: Fundamental Theory; Chapter 1: Introduction; 1.1 Background and Motivation; 1.2 A Brief History of Complex Network Research; 1.3 New Era of Complex-Network Studies; Exercises; References; Chapter 2: Preliminaries; 2.1 Elementary Graph Theory; 2.2 Elementary Probability and Statistics; 2.3 Elementary Dynamical Systems Theory; Exercises; References; Chapter 3: Network Topologies: Basic Models and Properties; 3.1 Introduction; 3.2 Regular Networks; 3.3 ER Random-Graph Model; 3.4 Small-World Network Models 3.5 Navigable Small-World Network Model3.6 Scale-Free Network Models; Exercises; References; Part Two: Applications -- Selected Topics; Chapter 4: Internet: Topology and Modeling; 4.1 Introduction; 4.2 Topological Properties of the Internet; 4.3 Random-Graph Network Topology Generator; 4.4 Structural Network Topology Generators; 4.5 Connectivity-Based Network Topology Generators; 4.6 Multi-Local-World Model; 4.7 HOT Model; 4.8 Dynamical Behaviors of the Internet Topological Characteristics; 4.9 Traffic Fluctuation on Weighted Networks; References; Chapter 5: Epidemic Spreading Dynamics 5.1 Introduction5.2 Epidemic Threshold Theory; 5.3 Epidemic Spreading on Spatial Networks; 5.4 Immunization on Complex Networks; 5.5 Computer Virus Spreading over the Internet; References; Chapter 6: Community Structures; 6.1 Introduction; 6.2 Community Structure and Modularity; 6.3 Modularity-Based Community Detecting Algorithms; 6.4 Other Community Partitioning Schemes; 6.5 Some Recent Progress; References; Chapter 7: Network Games; 7.1 Introduction; 7.2 Two-Player/Two-Strategy Evolutionary Games on Networks; 7.3 Multi-Player/Two-Strategy Evolutionary Games on Networks 7.4 Adaptive Evolutionary Games on NetworksReferences; Chapter 8: Network Synchronization; 8.1 Introduction; 8.2 Complete Synchronization of Continuous-Time Networks; 8.3 Complete Synchronization of Some Typical Dynamical Networks; 8.4 Phase Synchronization; References; Chapter 9: Network Control; 9.1 Introduction; 9.2 Spatiotemporal Chaos Control on Regular CML; 9.3 Pinning Control of Complex Networks; 9.4 Pinning Control of General Complex Networks; 9.5 Time-Delay Pinning Control of Complex Networks; 9.6 Consensus and Flocking Control; References Chapter 10: Brief Introduction to Other Topics10.1 Human Opinion Dynamics; 10.2 Human Mobility and Behavioral Dynamics; 10.3 Web PageRank, SiteRank and BrowserRank; 10.4 Recommendation Systems; 10.5 Network Edge Prediction; 10.6 Living Organisms and Bionetworks; 10.7 Cascading Reactions on Networks; References; Index; End User License Agreement
9781118718148 1118718143 9781118718131 1118718135 9781118718124 1118718127 1118718119 (cloth) 9781118718117 (cloth)
2014037424
System theory.
SCIENCE--System Theory.
TECHNOLOGY & ENGINEERING--Operations Research.
System theory.
Electronic books.
Electronic books.
Q295
003/.72