9787040347821 - r复杂网络引论 : 模型、结构与动力学 (2 Ergebnisse)
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paperback. Zustand: New. Ship out in 2 business day, And Fast shipping, Free Tracking number will be provided after the shipment.Paperback. Pub Date :2012-05-01 Pages: 332 Publisher: Higher Education Press title: complex networks Introduction: model. structure and dynamics (English) List Price: 79.00 yuan Author: Chen Guan Rong…Press: Higher Education Publishing Date :2012-05-01ISBN: 9787040347821 words: Page: 332 Edition: 1 Format: Folio: 16 Weight: Editor's Summary complex network Introduction: models. structure and dynamics (the English version ) is for the natural sciences. mathematics and engineering graduate students and senior undergraduate students to write an introductory textbook. handouts can be used as a semester teaching. but also can be used as research reference or self-study reading materials. Complex network Introduction: model. structure and dynamics (English) seeks to correct and accurate. but not deliberately take very strict wording. in order to easy to understand. focused on the introduction of the main ideas and basic methods only provide inspiration nature of mathematics support. and hope to have elementary calculus. linear algebra. and ordinary differential equations that readers can easily learn the main content of the book. The book is divided into two parts: The first part is the basic theory. including background material and information together with the right amount of exercises designed to familiarize the reader with some of the most basic modeling methods and analytical skills. The second part of the application topics. including the study of complex networks in several representative field. these chapters are relatively independent. The final chapter is the Introduction of the more active in recent years of several cutting-edge research topics. Each chapter are accompanied by a detailed critical literature. and want to be able to help interested readers to quickly access these research areas. The directory Part I Fundamental TheoryChapter. 1 Introduction1.1 Background and Motivation1.2 A ief History of the Complex Network Research1.2.1 The the Konigsburg Seven-idge Problem1.2.2 Random Graph Theory1.2.3 Small-World Experiment1.2.4 Strength of Weak Ties1.2.5New Era of Complex-Network Studies1.3 Some Basic Concepts1.3.1 Graph Representation of Networks1.3.2 Average Path Length1.3.3 Clustering Coefficient1.3.4 Degree and Degree Distribution1.3.5 Statistical Properties of Some Real-World Complex NetworksProblemsReferencesChapter 2A ief Introduction to Graph Theory2.1 What is a Graph2.2 Notation. Definitions and Preliminaries2.3 Eulerian and Hamiltonian Graphs2.3.1 Eulerian Graphs2.3.2 Hamiltonian Graphs2.4The Chinese Postman Problem2.5 The Shortest Path Length Problem2.6 Trees2.7 The Minimum Connector Problem2.8 Plane Graphs and Planar Graphs2.9 Euler Formula for Plane Graphs2.10 Directed GraphsProblemsReferencesChapter 3 Network Topologies: Basic Models and Properties3.1 Introduction3.2 Regular Networks3.3 Random-Graph Networks3.4 Small-World Network Models3.4.1 The WS Small-World Network Model3.4.2 The NW Small-World Network Model3.4.3 Statistical Properties of Small-World Network Models3.5 The Navigable Small-World Network Model3.6 Scale-Free Network Models3.6.1 The BA Scale-Free Network Model3.6.2 Robustness versus Fragility3 .6.3 Modified BA Models3.6.4 A Simple Model with Power-Law Degree Distribution3.6.5 Local-World and Multi-Local-World Network ModelsProblemsReferencesPart II Applications: Selected TopicsChapter 4 Internet: Topology and Modeling4.1 Introduction4.2 Topological Properties of the Internet4 .2.1 Power-Law Node-Degree Distributions4.2.2 Hierarchical Structures4.2.3 Rich-Club Structure4.2.4 Disassortative Property4.2.5 Coreness and Betweenness4.2.6 Growth of the Internet4.2.7 Router-Levellnternet Topology4.2.8 Geographic Layout of the Internet4.3 Random -Graph Network Topology Generator4.4 Structural Network Topology Generators4.4.1 Tiers Topology Generator . Index of introduced Chen Guan Rong. 198.
