Matroid Theory
Author:   James G. Oxley
Publisher:   Oxford University Press
Volume:   No. 3
ISBN:  

9780199202508


Pages:   544
Publication Date:   31 July 2006
Format:   Paperback
Availability:   In Print   Availability explained
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Matroid Theory


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Overview

"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."

Full Product Details

Author:   James G. Oxley
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Volume:   No. 3
Dimensions:   Width: 15.60cm , Height: 2.80cm , Length: 23.40cm
Weight:   0.818kg
ISBN:  

9780199202508


ISBN 10:   0199202508
Pages:   544
Publication Date:   31 July 2006
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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

Reviews

An excellent graduate textbook and reference work on matroid theory. It is an excellent first book on the subject due to its comprehensive nature. There is a wealth of material to mine for graduate students, graph theorists, and researchers in the area. --Mathematical Reviews<br>


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