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One-Factorizations (Mathematics and Its Applications, 390, Band 390) - Hardcover

Wallis, W.D.

 
9780792343233: One-Factorizations (Mathematics and Its Applications, 390, Band 390)
Hardcover
ISBN 10: 0792343239 ISBN 13: 9780792343233
Verlag: Springer, 1996

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

W. D. Wallis served as a Professor of Mathematics at Southern Illinois University, Carbondale, for 24 years up until his retirement in 2009. Before that he taught for 15 years at the University of Newcastle, Australia, and for 4 years at La Trobe University, Australia. His main areas of research have been in Combinatorial Mathematics and Graph Theory. He has also published some work in Computer Science and in Algebra. He has authored or co-authored fourteen books on Mathematics, together with some second editions, and edited nine books. He has published 268 research articles and book chapters.

Von der hinteren Coverseite

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
1996
Sprache
Englisch
ISBN 10 
0792343239
ISBN 13 
9780792343233
Einband
Gebundene Ausgabe
Anzahl der Seiten
256
Kontakt zum Hersteller
ProductSafety@springernature.com
ProductSafety@springernature.com

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