# Basic Graph Theory

## Benefits

• Presents terminologies and key concepts of basic graph theory in a clear and understandable way with illustrative examples

• Proofs are presented with details and illustrations for easy understanding

• Includes special classes of graphs like outerplanar graphs, chordal graphs, and series-parallel graphs, and some research topics for further advanced study

Textbook

Part of the Undergraduate Topics in Computer Science book series (UTICS)

1. Front Matter
Pages i-x
2. Md. Saidur Rahman
Pages 1-9
3. Md. Saidur Rahman
Pages 11-29
4. Md. Saidur Rahman
Pages 31-46
5. Md. Saidur Rahman
Pages 47-62
6. Md. Saidur Rahman
Pages 63-75
7. Md. Saidur Rahman
Pages 77-89
8. Md. Saidur Rahman
Pages 91-102
9. Md. Saidur Rahman
Pages 103-109
10. Md. Saidur Rahman
Pages 111-133
11. Md. Saidur Rahman
Pages 135-163
12. Back Matter
Pages 165-169

### Introduction

This undergraduate textbook provides an introduction to graph theory, which has numerous applications in modeling problems in science and technology, and has become a vital component to computer science, computer science and engineering, and mathematics curricula of universities all over the world.

The author follows a methodical and easy to understand approach. Beginning with the historical background, motivation and applications of graph theory, the author first explains basic graph theoretic terminologies. From this firm foundation, the author goes on to present  paths, cycles, connectivity, trees, matchings, coverings, planar graphs, graph coloring and digraphs as well as some  special classes of graphs together with some research topics for advanced  study.

Filled with exercises and illustrations, Basic Graph Theory is a valuable resource for any undergraduate student to understand and gain confidence in graph theory and its applications to scientific research, algorithms and problem solving.

### Keywords

graph theory planar graphs graph colouring matching and covering graph algorithms

#### Authors and affiliations

1. 1.Department of Computer Science and EngineeringBangladesh University of Engineering and Technology (BUET)DhakaBangladesh

Md. Saidur Rahman is a Professor in the Department of Computer Science and Engineering, Bangladesh University of Engineering and Technology (BUET). He has taught basic graph theory at undergraduate level for more than ten years. Professor Rahman specialized in theoretical computer science and researches on algorithms, graph theory, graph drawing, computational geometry and bioinformatics. Prof. Rahman is a Fellow of Bangladesh Academy of Sciences and a Senior Member of IEEE.

### Bibliographic information

• Book Title Basic Graph Theory
• Authors Md. Saidur Rahman
• Series Title Undergraduate Topics in Computer Science
• Series Abbreviated Title Undergraduate Topics Computer Sci.
• DOI https://doi.org/10.1007/978-3-319-49475-3
• Copyright Information Springer International Publishing AG 2017
• Publisher Name Springer, Cham
• eBook Packages Computer Science Computer Science (R0)
• Softcover ISBN 978-3-319-49474-6
• eBook ISBN 978-3-319-49475-3
• Series ISSN 1863-7310
• Series E-ISSN 2197-1781
• Edition Number 1
• Number of Pages X, 169
• Number of Illustrations 147 b/w illustrations, 0 illustrations in colour
• Topics
• Buy this book on publisher's site
Industry Sectors
IT & Software

## Reviews

“The content is presented in a simple and straightforward manner with ample illustrations using neat and apt diagrams (graphs). The book is definitely good for students learning graph theory at the undergraduate and postgraduate levels.” (Sudev Naduvath, Computing Reviews, January, 9 , 2018)