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Combinatorial design theory
Title:
Combinatorial design theory
Author:
Colbourn, C. J. (Charles J.), 1953-
ISBN:
9780444703286
9780080872605
9781281793119
9786611793111
Publication Information:
Amsterdam ; New York : North-Holland ; New York, N.Y., U.S.A. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1987.
Physical Description:
1 online resource (xii, 470 pages).
Series:
North-Holland mathematics studies ; 149
Annals of discrete mathematics ; 34
North-Holland mathematics studies ; 149.
Annals of discrete mathematics ; 34.
General Note:
Festschrift for Alex Rosa.
Contents:
Front Cover; Combinatorial Design Theory; Copyright Page; Preface; Acknowledgements; Contents; Chapter 1. The Existence of Symmetric Latin Squares with One Prescribed Symbol in Each Row and Column; Chapter 2. A Fast Method for Sequencing Low Order Non-Abelian Groups; Chapter 3. Pairwise Balanced Designs with Prime Power Block Sizes Exceeding 7; Chapter 4. Conjugate Orthogonal Latin Squares with Equal-Sized Holes; Chapter 5. On Regular Packings and Coverings; Chapter 6. An Inequality on the Parameters of Distance Regular Graphs and the Uniqueness of a Graph Related to M23.
Abstract:
Combinatorial design theory is a vibrant area of combinatorics, connecting graph theory, number theory, geometry, and algebra with applications in experimental design, coding theory, and numerous applications in computer science. This volume is a collection of forty-one state-of-the-art research articles spanning all of combinatorial design theory. The articles develop new methods for the construction and analysis of designs and related combinatorial configurations; both new theoretical methods, and new computational tools and results, are presented. In particular, they extend the current state of knowledge on Steiner systems, Latin squares, one-factorizations, block designs, graph designs, packings and coverings, and develop recursive and direct constructions. The contributions form an overview of the current diversity of themes in design theory for those peripherally interested, while researchers in the field will find it to be a major collection of research advances. The volume is dedicated to Alex Rosa, who has played a major role in fostering and developing combinatorial design theory.
Genre:
Electronic Access:
ScienceDirect http://www.sciencedirect.com/science/book/9780444703286 ScienceDirect http://www.sciencedirect.com/science/publication?issn=03040208&volume=149 1850-9999 http://www.sciencedirect.com/Available:*
Shelf Number | Item Barcode | Shelf Location | Status |
|---|---|---|---|
| QA166.25 .C652 1987 EB | 1191665-1001 | Elsevier E-Book Collections | Searching... |
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