عنوان

Fundamentals of complex networks :

(Number (ISBN

1118718119 (cloth)

(Number (ISBN

1118718127

(Number (ISBN

1118718135

(Number (ISBN

1118718143

(Number (ISBN

9781118718117 (cloth)

(Number (ISBN

9781118718124

(Number (ISBN

9781118718131

(Number (ISBN

9781118718148

Erroneous ISBN

9781118718117

Number

dltt

Title Proper

Fundamentals of complex networks :

General Material Designation

[Book]

Other Title Information

models, structures, and dynamics /

First Statement of Responsibility

Guanrong Chen, City University of Hong Kong, China, Xiaofan Wang, Shanghai Jiao Tong University, Shanghai, China, Xiang Li, Fudan University, Shanghai, China

Specific Material Designation and Extent of Item

1 online resource

Text of Note

Includes bibliographical references and index

Text of Note

Fundamental Theory -- Introduction -- Background and Motivation -- A Brief History of Complex Network Research -- The Königsburg Seven-Bridge Problem -- Random Graph Theory -- Small-World Experiments -- Strengths of Weak Ties -- Heterogeneity and the WWW -- New Era of Complex-Network Studies -- Exercises -- References -- Preliminaries -- Elementary Graph Theory -- Background -- Basic Concepts -- Adjacency, Incidence and Laplacian Matrices -- Degree Correlation and Assortativity -- Some Basic Results on Graphs -- Eulenau and Hamiltonian Graphs -- Plane and Planar Graphs -- Trees and Bipartite Graphs -- Directed Graphs -- Weighted Graphs -- Some Applications -- Elementary Probability and Statistics -- Probability Preliminaries -- Statistics Preliminaries -- Law of Large Numbers and Central Limit Theorem -- Markov Chains -- Elementary Dynamical Systems Theory -- Background and Motivation -- Some Analytical Tools -- Chaos in Nonlinear Systems -- Kolmogorov-Sinai Entropy -- Some Examples of Chaotic Systems -- Stabilities of Nonlinear Systems -- Exercises -- References -- Network Topologies: Basic Models and Properties -- Introduction -- Regular Networks -- ER Random-Graph Model -- Small-World Network Models -- WS Small-World Network Model -- NW Small-World Network Model -- Statistical Properties of Small-World Network Models -- Navigable Small-World Network Model -- Scale-Free Network Models -- BA Scale-Free Network Model -- Robustness versus Fragility -- Modified BA Models -- A Simple Model with Power-Law Degree Distribution -- Local-World and Multi-Local-World Network Models -- Exercises -- References -- Application-Selected Topics -- Internet: Topology and Modeling -- Introduction -- Topological Properties of the Internet -- Power-Law Node-Degree Distribution -- Hierarchical Structure -- Rich-Club Structure -- Disassortative Property -- Coreness and Betweenness -- Growth of the Internet -- Router-Level Internet Topology -- Geographic Layout of the Internet -- Random-Graph Network Topology Generator -- Structural Network Topology Generators -- Tiers Topology Generator -- Transit-Stub Topology Generator -- Connectivity-Based Network Topology Generators -- Inet -- BRITE Model -- GLP Model -- PFP Model -- T_ANG Model -- Multi-Local-World Model -- Theoretical Considerations -- Numerical Results with Comparison -- Performance Comparison -- Hot Model -- Dynamical Behaviors of the Internet Topological Characteristics -- Traffic Fluctuation on Weighted Networks -- Weighted Networks -- GRD Model -- Data Traffic Fluctuations -- References -- Epidemic Spreading Dynamics -- Introduction -- Epidemic Threshold Theory -- Epidemic (SI, SIS, SIR) Models -- Epidemic Thresholds on Homogenous Networks -- Statistical Data Analysis -- Epidemic Thresholds on Heterogeneous Networks -- Epidemic Thresholds on BA Networks -- Epidemic Thresholds on Finite-Sized Scale-Free Networks -- Epidemic Thresholds on Correlated Networks -- SIR Model of Epidemic Spreading -- Epidemic Spreading on Quenched Networks -- Epidemic Spreading on Spatial Networks -- Spatial Networks -- Spatial Network Models for Infectious Diseases -- Impact of Spatial Clustering on Disease Transmissions -- Large-Scale Spatial Epidemic Spreading -- Impact of Human Location-Specific Contact Patterns -- Immunization on Complex Networks -- Random Immunization -- Targeted Immunization -- Acquaintance Immunization -- Computer Virus Spreading over the Internet -- Random Constant-Spread Model -- A Compartment-Based Model -- Spreading Models of Email Viruses -- Effects of Computer Virus on Network Topologies -- References -- Community Structures -- Introduction -- Various Scenarios in Real-World Social Networks -- Generalization of Assortativity -- Community Structure and Modularity -- Community Structure -- Modularity -- Modularity of Weighted and Directed Networks -- Modularity-Based Community Detecting Algorithms -- CNM Scheme -- BGLL Scheme -- Multi-Slice Community Detection -- Detecting Spatial Community Structures -- Other Community Partitioning Schemes -- Limitations of the Modularity Measure -- Clique Percolation Scheme -- Edge-Based Community Detection Scheme -- Evaluation Criteria for Community Detection Algorithms -- Some Recent Progress -- References -- Network Games -- Introduction -- Two-Player/Two-Strategy Evolutionary Games on Networks -- Introduction to Games on Networks -- Two-Player/Two-Strategy Games on Regular Lattices -- Two-Player/Two-Strategy Games on BA Scale-Free Networks -- Two-Player/Two-Strategy Games on Correlated Scale-Free Networks -- Two-Player/Two-Strategy Games on Clustered Scale-Free Networks -- Multi-Player/Two-Strategy Evolutionary Games on Networks -- Introduction to Public Goods Game -- Multi-Player/Two-Strategy Evolutionary Games on BA Networks -- Multi-Player/Two-Strategy Evolutionary Games on Correlated Scale-free Networks -- Multi-Player/Two-Strategy Evolutionary Games on Clustered Scale-free Networks -- Adaptive Evolutionary Games on Networks -- References -- Network Synchronization -- Introduction -- Complete Synchronization of Continuous-Time Networks -- Complete Synchronization of General Continuous-Time Networks -- Complete Synchronization of Linearly Coupled Continuous-Time Networks -- Complete Synchronization of Some Typical Dynamicai Networks -- Complete Synchronization of Regular Networks -- Synchronization of Small-World Networks -- Synchronization of Scale-Free Networks -- Complete Synchronization of Local-World Networks -- Phase Synchronization -- Phase Synchronization of the Kuramoto Model -- Phase Synchronization of Small-World Networks -- Phase Synchronization of Scale-Free Networks -- Phase Synchronization of Nonuniformly Coupled Networks -- References -- Network Control -- Introduction -- Spatiotemporal Chaos Control on Regular CML -- Pinning Control of Complex Networks -- Augmented Network Approach -- Pinning Control of Scale-Free Networks -- Pinning Control of General Complex Networks -- Stability Analysis of General Networks under Pinning Control -- Pinning and Virtual Control of General Networks -- Pinning and Virtual Control of Scale-Free Networks -- Time-Delay Pinning Control of Complex Networks -- Consensus and Flocking Control -- References -- Brief Introduction to Other Topics -- Human Opinion Dynamics -- Human Mobility and Behavioral Dynamics -- Web PageRank, SiteRank and Browser Rank -- Methods Based on Edge Analysis -- Methods Using Users' Behavior Data -- Recommendation Systems -- Network Edge Prediction -- Living Organisms and Bionetworks -- Cascading Reactions on Networks -- References

0

Title

Fundamentals of complex networks.

International Standard Book Number

9781118718117

System theory.

SCI-- 064000

TEC-- 029000

Number

Edition

Class number

Chen, G., (Guanrong)

Li, Xiang,1976 February 8-

Wang, Xiaofan,1967-

Ohio Library and Information Network.

Date of Transaction

20160603085903.4

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y