Matroid Theory
Series: Oxford Graduate Texts in Mathematics; 3;
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Product details:
- Edition number New ed
- Publisher Oxford University Press
- Date of Publication 29 June 2006
- ISBN 9780199202508
- Binding Paperback
- No. of pages546 pages
- Size 233x157x28 mm
- Weight 772 g
- Language English
- Illustrations numerous line drawings 0
Categories
Short description:
This new in paperback version of the classic Matroid Theory by James Oxley provides a comprehensive introduction to matroid theory, covering the basics to more advanced topics. With over 500 exercises and proofs of major theorems this book is the ideal reference and class text for academics and graduate students in mathematics and computer science.
MoreLong description:
The study of matroids is a branch of discrete mathematics with basic links to graphs, lattices, codes, transversals, and projective geometries. Matroids are of fundamental importance in combinatorial optimization and their applications extend into electrical engineering and statics.
This new in paperback version of the classic "Matroid Theory" by James Oxley provides a comprehensive introduction to matroid theory, covering the very basics to more advanced topics. With over 500 exercises and proofs of major theorems, this book is the ideal reference and class text for academics and graduate students in mathematics and computer science. The final chapter lists sixty unsolved problems and describes progress towards their solutions.
Table of Contents:
Preface
Preliminaries
Basic definitions and examples
Duality
Minors
Connectivity
Graphic matroids
Representable matroids
Constructions
Higher connectivity
Binary matroids
Ternary matroids
The Splitter theorem
Submodular functions and matroid union
Regular matroids
Unsolved problems
References
Appendix. Some interesting matroids
Notation
Index
