Networks and Graphs :Techniques and Computational Methods

Publication subTitle :Techniques and Computational Methods

Author: Smith   D K  

Publisher: Elsevier Science‎

Publication year: 2003

E-ISBN: 9780857099570

P-ISBN(Paperback): 9781898563914

P-ISBN(Hardback):  9781898563914

Subject: O157.5 Graph

Language: ENG

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Description

Dr Smith here presents essential mathematical and computational ideas of network optimisation for senior undergraduate and postgraduate students in mathematics, computer science and operational research. He shows how algorithms can be used for finding optimal paths and flows, identifying trees in networks, and optimal matching. Later chapters discuss postman and salesperson tours, and demonstrate how many network problems are related to the ‘‘minimal-cost feasible-flow’’ problem. Techniques are presented both informally and with mathematical rigour and aspects of computation, especially of complexity, have been included. Numerous examples and diagrams illustrate the techniques and applications. The book also includes problem exercises with tutorial hints.

  • Presents essential mathematical and computational ideas of network optimisation for senior undergraduate and postgraduate students in mathematics, computer science and operational research
  • Demonstrates how algorithms can be used for finding optimal paths and flows, identifying trees in networks and optimal matching
  • Numerous examples and diagrams illustrate the techniques and applications

Chapter

Front Cover

pp.:  1 – 4

ABOUT OUR AUTHOR

pp.:  3 – 9

Copyright Page

pp.:  5 – 6

Table of Contents

pp.:  6 – 3

Preface

pp.:  9 – 12

Chapter 1. Introduction

pp.:  12 – 22

Chapter 2. Trees

pp.:  22 – 38

Chapter 3. Shortest Paths

pp.:  38 – 57

Chapter 4. Maximum Flows

pp.:  57 – 74

Chapter 5. How to Store a Network

pp.:  74 – 84

Chapter 6. More about Shortest Paths

pp.:  84 – 101

Chapter 7. Advanced Maximal Flow

pp.:  101 – 115

Chapter 8. Minimum-Cost Feasible-Flow

pp.:  115 – 140

Chapter 9. Matching and Assignment

pp.:  140 – 161

Chapter 10. Postman Problems

pp.:  161 – 180

Chapter 11. Travelling Salesperson

pp.:  180 – 194

Chapter 12. Tutorial hints

pp.:  194 – 198

Books and References

pp.:  198 – 200

Index

pp.:  200 – 205

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