Combinatorial design theory /

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 art...

Full description

Saved in:
Bibliographic Details
Corporate Authors: Elsevier Science & Technology.
Group Author: Colbourn, C. J. (Charles J.), 1953- (Editor); Mathon, R. A. (Editor); Rosa, Alexander. (Editor)
Published: North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
Publisher Address: Amsterdam ; New York : New York, N.Y., U.S.A. :
Publication Dates: 1987.
Literature type: eBook
Language: English
Series: North-Holland mathematics studies ; 149
Annals of discrete mathematics ; 34
Subjects:
Online Access: http://www.sciencedirect.com/science/bookseries/03040208/149
Summary: 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.
Item Description: Festschrift for Alex Rosa.
Carrier Form: 1 online resource (xii, 470 pages).
Bibliography: Includes bibliographical references.
ISBN: 9780444703286
0444703284
9780080872605
0080872603
Index Number: QA166
CLC: O157.2
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.