
Matroid Theory
James G. Oxley(Author)
Oxford University Press
Published on 31. July 2006
Book
Paperback/Softback
544 pages
978-0-19-920250-8 (ISBN)
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.
More details
Series
Language
English
Place of publication
Oxford
United Kingdom
Target group
Professional and scholarly
Illustrations
num. line drawings
numerous line drawings
Dimensions
Height: 234 mm
Width: 156 mm
Thickness: 28 mm
Weight
818 gr
ISBN-13
978-0-19-920250-8 (9780199202508)
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Schweitzer Classification
Content
Preface; Preliminaries; 1. Basic definitions and examples; 2. Duality; 3. Minors; 4. Connectivity; 5. Graphic matroids; 6. Representable matroids; 7. Constructions; 8. Higher connectivity; 9. Binary matroids; 10. Ternary matroids; 11. The Splitter theorem; 12. Submodular functions and matroid union; 13. Regular matroids; 14. Unsolved problems; References; Appendix. Some interesting matroids; Notation; Index