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One-Factorizations (Hardcover, 1997 ed.)
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One-Factorizations (Hardcover, 1997 ed.)
Series: Mathematics and Its Applications, 390
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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.
General
Imprint: |
Springer
|
Country of origin: |
Netherlands |
Series: |
Mathematics and Its Applications, 390 |
Release date: |
2001 |
First published: |
December 1996 |
Authors: |
W.D. Wallis
|
Dimensions: |
234 x 156 x 15mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
242 |
Edition: |
1997 ed. |
ISBN-13: |
978-0-7923-4323-3 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Combinatorics & graph theory
|
LSN: |
0-7923-4323-9 |
Barcode: |
9780792343233 |
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