Graph Theory in Modern Engineering: Computer Aided Design, Control, Optimization, Reliability Analysis

✍ Scribed by Ernest J. Henley and R.A. Williams (Eds.)

• Publisher: New York, Academic Press
• Year: 1973
• Tongue: English
• Leaves: 320
• Series: Mathematics in Science and Engineering 98
• Category: Library

✦ Table of Contents

Content:
Advisory Editorial Board
Page ii

Edited by
Page iii

Copyright Page
Page iv

Preface
Pages ix-xi

Acknowledgments
Page xii

Nomenclature
Pages xiii-xvi

Chapter 1 Basic Concepts
Pages 1-6

Chapter 2 Construction and Analysis of Signal Flow Graphs
Pages 7-21

Chapter 3 Systematic Analysis of Large Flow Graphs
Pages 23-43

Chapter 4 Frequency Response Analysis
Pages 45-52

Chapter 5 Sensitivity Analysis
Pages 53-69

Chapter 6 Exaraples and Further Applications
Pages 71-108

Chapter 7 Linear and Nonlinear Programming^ᾠ
Pages 109-148

Chapter 8 Ranking by Flow-Graph Methods
Pages 149-159

Chapter 9 Undirected Graphs
Pages 161-174

Chapter 10 Matrix Representation of Graphs
Pages 175-188

Chapter 11 Branch and Bound, Search Tree Methods^ᾠ
Pages 189-222

Chapter 12 Process Reliability Analysis by Flow-Graph Methods^ᾠ
Pages 223-244

Appendix A Matrix Theory
Pages 245-251

Appendix B Linearization of Equations
Pages 253-256

Appendix C Derivation of Mason's Rule^ᾠ
Pages 257-263

Appendix D Boolean and Modulo-2 Algebra
Pages 265-267

Appendix E Linear Programming
Pages 269-275

Appendix F The Coates Flow Graph
Pages 277-280

Appendix G The Fibonacci Search Method
Pages 281-284

Appendix H Glossary of Graph Nomenclature
Pages 285-288

Appendix I Computer Programs for Chapters 1-6
Pages 289-291

Appendix J Computer Programs for Chapters 7
Pages 293-294

Bibliography
Pages 295-296

Index
Pages 297-303