| One-Factorizations 1997 Edition Contributor(s): Wallis, W. D. (Author) |
|||
 |
ISBN: 0792343239 ISBN-13: 9780792343233 Publisher: Springer
Binding Type: Hardcover - See All Available Formats & Editions Published: December 1996 Annotation: This is a specialized textbook on graph factorizations, an area which lies partly in graph theory and partly in the theory of combinational designs. It is the first full-size book on its particular subject, which has previously been treated only in survey papers and in chapters in books on design theory and on graph decompositions and matching theory. The book is intended for beginning graduate students in Combinatorial Mathematics, and may be used as a text for a special topics course; but it reaches to the boundaries of current research and will also prove useful as a reference source for professionals in the field. It contains a number of easy exercises, together with some which are challenging, and a few unsolved problems. There is an extensive bibliography. Click for more in this series: Mathematics and Its Applications |
||
| Additional Information |
| BISAC Categories: - Mathematics | Graphic Methods - Mathematics | Finite Mathematics - Mathematics | Geometry - Analytic |
| Dewey: 511.6 |
| LCCN: 96048829 |
| Series: Mathematics and Its Applications |
| Physical Information: 0.63" H x 6.14" W x 9.21" L (1.19 lbs) 242 pages |
| Features: Bibliography, Illustrated, Index |
| Descriptions, Reviews, Etc. |
| Publisher Description: This book has grown out of graduate courses given by the author at Southern Illinois University, Carbondale, as well as a series of seminars delivered at Curtin University of Technology, Western Australia. The book is intended to be used both as a textbook at the graduate level and also as a professional reference. The topic of one-factorizations fits into the theory of combinatorial designs just as much as it does into graph theory. Factors and factorizations occur as building blocks in the theory of designs in a number of places. Our approach owes as much to design theory as it does to graph theory. It is expected that nearly all readers will have some background in the theory of graphs, such as an advanced undergraduate course in Graph Theory or Applied Graph Theory. However, the book is self-contained, and the first two chapters are a thumbnail sketch of basic graph theory. Many readers will merely skim these chapters, observing our notational conventions along the way. (These introductory chapters could, in fact, enable some instructors to Ilse the book for a somewhat eccentric introduction to graph theory.) Chapter 3 introduces one-factors and one-factorizations. The next two chapters outline two major application areas: combinatorial arrays and tournaments. These two related areas have provided the impetus for a good deal of study of one-factorizations. |
| Customer ReviewsSubmit your own review |
| To tell a friend about this book, you must Sign In First! |
Copyright © 2024 TheReadingWarehouse.com