Graphs and Homomorphisms
Series: Oxford Lecture Series in Mathematics and Its Applications; 28;
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Product details:
- Publisher OUP Oxford
- Date of Publication 22 July 2004
- ISBN 9780198528173
- Binding Hardback
- No. of pages260 pages
- Size 240x160x18 mm
- Weight 543 g
- Language English
- Illustrations numerous line drawings 0
Categories
Short description:
Based on the authors' lecture notes, this book is concerned with an aspect of graph theory that has broad applications to complexity theory, graph colourings, channel assignment and statistical physics. Containing exercises, hints and references, it is ideal for graduate students and researchers alike.
MoreLong description:
This is a book about graph homomorphisms. Graph theory is now an established discipline but the study of graph homomorphisms has only recently begun to gain wide acceptance and interest. The subject gives a useful perspective in areas such as graph reconstruction, products, fractional and circular colourings, and has applications in complexity theory, artificial intelligence, telecommunication, and, most recently, statistical physics.
Based on the authors' lecture notes for graduate courses, this book can be used as a textbook for a second course in graph theory at 4th year or master's level and has been used for courses at Simon Fraser University (Vancouver), Charles University (Prague), ETH (Zurich), and UFRJ (Rio de Janeiro).
The exercises vary in difficulty. The first few are usually intended to give the reader an opportunity to practice the concepts introduced in the chapter; the later ones explore related concepts, or even introduce new ones. For the harder exercises hints and references are provided.
The authors are well known for their research in this area and the book will be invaluable to graduate students and researchers alike.
Table of Contents:
Preface
Introduction
Products and Retracts
The Partial Order of Graphs and Homomorphisms
The Structure of Composition
Testing for the Existence of Homomorphisms
Colouring - Variations on a Theme
References
Index
