# Graph Theory with Applications to Engineering and Computer Science

## Book Description

This outstanding introductory treatment of graph theory and its applications has had a long life in the instruction of advanced undergraduates and graduate students in all areas that require knowledge of this subject. The first nine chapters constitute an excellent overall introduction, requiring only some knowledge of set theory and matrix algebra. Topics include paths and circuits, trees and fundamental circuits, planar and dual graphs, vector and matrix representation of graphs, and related subjects.

The remaining six chapters are more advanced, covering graph theory algorithms and computer programs, graphs in switching and coding theory, electrical network analysis by graph theory, graph theory in operations research, and more. Instructors may combine these chapters with the preceding material for courses in a variety of fields, including electrical engineering, computer science, operations research, and applied mathematics.

### Table of Contents

Chapter 1 Introduction

Chapter 2 Paths And Circuits

Chapter 3 Trees And Fundamental Circuits

Chapter 4 Cut-Sets And Cut-Vertices

Chapter 5 Planar And Dual Graphs

Chapter 6 Vector Spaces Of A Graph

Chapter 7 Matrix Representation Of Graphs

Chapter 8 Coloring, Covering, And Partitioning

Chapter 9 Directed Graphs

Chapter 10 Enumeration Of Graphs

Chapter 11 Graph Theoretic Algorithms And Computer Programs

Chapter 12 Graphs In Switching And Coding Theory

Chapter 13 Electrical Network Analysis By Graph Theory

Chapter 14 Graph Theory In Operations Research

Chapter 15 Survey Of Other Applications

Appendix A Binet-Cauchy Theorem

Appendix B Nullity Of A Matrix And Sylvesterâ€™S Law

## Book Details

- Title: Graph Theory with Applications to Engineering and Computer Science
- Author: Narsingh Deo
- Length: 496 pages
- Edition: Reprint
- Language: English
- Publisher: Dover Publications
- Publication Date: 2016-08-17
- ISBN-10: 0486807932
- ISBN-13: 9780486807935

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