# A Beginner’s Guide to Graph Theory

Textbook

1. Front Matter
Pages i-xviii
2. W. D. Wallis
Pages 1-14
3. W. D. Wallis
Pages 15-34
4. W. D. Wallis
Pages 35-42
5. W. D. Wallis
Pages 43-54
6. W. D. Wallis
Pages 55-68
7. W. D. Wallis
Pages 69-84
8. W. D. Wallis
Pages 85-104
9. W. D. Wallis
Pages 105-114
10. W. D. Wallis
Pages 115-130
11. W. D. Wallis
Pages 131-142
12. W. D. Wallis
Pages 143-157
13. W. D. Wallis
Pages 159-184
14. W. D. Wallis
Pages 185-196
15. Back Matter
Pages 197-230

### Introduction

Because of its wide applicability, graph theory is one of the fast-growing areas of modern mathematics. Graphs arise as mathematical models in areas as diverse as management science, chemistry, resource planning, and computing. Moreover, the theory of graphs provides a spectrum of methods of proof and is a good train­ ing ground for pure mathematics. Thus, many colleges and universities provide a first course in graph theory that is intended primarily for mathematics majors but accessible to other students at the senior Ievel. This text is intended for such a course. I have presented this course many times. Over the years classes have included mainly mathematics and computer science majors, but there have been several engineers and occasional psychologists as weil. Often undergraduate and graduate students are in the same dass. Many instructors will no doubt find themselves with similar mixed groups. lt is to be expected that anyone enrolling in a senior Ievel mathematics course will be comfortable with mathematical ideas and notation. In particular, I assume the reader is familiar with the basic concepts of set theory, has seen mathematical induction, and has a passing acquaintance with matrices and algebra. However, one cannot assume that the students in a first graph theory course will have a good knowledge of any specific advanced area. My reaction to this is to avoid too many specific prerequisites. The main requirement, namely a little mathematical maturity, may have been acquired in a variety of ways.

### Keywords

Graph Graph theory ciruity combinatorics ksa management science network engineering

#### Authors and affiliations

1. 1.Department of MathematicsSouthern Illinois UniversityCarbondaleUSA

### Bibliographic information

• Book Title A Beginner’s Guide to Graph Theory
• Authors W.D. Wallis
• DOI https://doi.org/10.1007/978-1-4757-3134-7
• Copyright Information Birkhäuser Boston 2000
• Publisher Name Birkhäuser, Boston, MA
• eBook Packages
• Hardcover ISBN 978-0-8176-4176-4
• Softcover ISBN 978-1-4757-3136-1
• eBook ISBN 978-1-4757-3134-7
• Edition Number 1
• Number of Pages XVIII, 230
• Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
• Topics
• Buy this book on publisher's site
Industry Sectors