Buch
Graphs as Structural Models
-The Application of Graphs and Multigraphs in Cluster Analysis-Erhard Godehardt
Übersicht
Verlag | : | Vieweg & Teubner |
Buchreihe | : | Advances in System Analysis |
Sprache | : | Englisch |
Erschienen | : | 01. 01. 1988 |
Seiten | : | 214 |
Einband | : | Kartoniert |
Gewicht | : | 401 g |
ISBN | : | 9783528063122 |
Sprache | : | Englisch |
Inhaltsverzeichnis
0 Mathematical Symbols and Notation.- 1 Introduction, Basic Concepts.- 1.1 Modelling in Medicine and Biology.- 1.2 Graphs as Tools in Mathematical Modelling.- 1.3 The Scope of Exploratory Data Analysis.- 1.4 The Basic Concepts of Cluster Analysis.- 2 Current Methods of Cluster Analysis: An Overview.- 2.1 The Aim of Cluster Analysis.- 2.2 The Different Steps of a Cluster Analysis.- 2.3 A Short Review of Classification Methods.- 2.4 Preparation and Presentation of Results.- 3 Graph-theoretic Methods of Cluster Analysis.- 3.1 Classification by Graphs.- 3.2 Classifications by Multigraphs.- 3.3 An Algorithm for the Construction of (
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)-Clusters.- 3.4 The Construction of Dendrograms of (k; s)-Clusters.- 4 Probability Models of Classification.- 4.1. Current Probability Models in Cluster Analysis.- 4.2. Graph-Theoretic Models of Classification.- 4.3. Discussion of the Graph-Theoretic Probability Models.- 5 Probability Theory of Completely Labelled Random Multigraphs.- 5.1 Definitions and Notation.- 5.2 A Probability Model of Random Multigraphs.- 5.3 Some Results for Random Graphs ?nN and Gnp.- 5.4 Limit Theorems for Random Multigraphs.- 5.5 Discussion of the Results.- 5.6 Hints for the Numerical Computation of the Expectations and Distributions.- 6 Classifications by Multigraphs: Three Examples from Medicine.- 6.1 Pharmacokinetics of Urapidil in Patients with Normal andImpaired Renal Function.- 6.2 Pharmacokinetics of Lidocaine in Patients with Kidney or Liver Impairments.- 6.3 Pregnancy-Induced Hypertension.