Designs 2002 : further computational and constructive design theory / edited by W.D. Wallis.
This volume is a sequel to the 1996 compilation, Computational and Constructive Design Theory. It contains research papers and surveys of recent research work on two closely related aspects of the study of combinatorial designs: design construction and computer-aided study of designs. Audience: This...
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Full Text (via Springer) |
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| Format: | eBook |
| Language: | English |
| Published: |
Boston :
Kluwer Academic Publishers,
[2003]
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| Series: | Mathematics and its applications (Kluwer Academic Publishers) ;
v. 563. |
| Subjects: |
MARC
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| 245 | 0 | 0 | |a Designs 2002 : |b further computational and constructive design theory / |c edited by W.D. Wallis. |
| 264 | 1 | |a Boston : |b Kluwer Academic Publishers, |c [2003] | |
| 264 | 4 | |c ©2003. | |
| 300 | |a 1 online resource (xii, 368 pages) : |b illustrations. | ||
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| 490 | 1 | |a Mathematics and its applications ; |v volume 563. | |
| 504 | |a Includes bibliographical references. | ||
| 505 | 0 | |a 1 The Existence of 2-SOLSSOMs -- 1 Introduction -- 2 Direct Constructions -- 3 Recursive Constructions -- 2 Conjugate Orthogonal Diagonal Latin Squares with Missing Subsquares -- 1 Introduction -- 2 Preliminaries -- 3 Direct Construction -- 4 Recursive Construction -- 5 A General Bound -- 6 The Case 2? n? 6 -- 3 Combinatorial Trades: a Survey of Recent Results -- 1 Introduction and Preliminaries -- 2 Trades in designs -- 3 Trades in latin squares -- 4 Trade uses -- 5 Latin representations and trades used in tripartite decompositions -- 6?-way trades -- 7 Graphical trades -- 8 Future directions -- 4 Two-stage Generalized Simulated Annealing for the Construction of Change-Over Designs -- 1 Introduction -- 2 Notation and Definitions -- 3 A Two Stage Generalized Simulated Annealing Algorithm -- 4 Performance of the Two-Stage GSA -- 5 New Lower Bounds on the Maximum Number of Mutually Orthogonal Steiner Triple Systems -- 1 Introduction -- 2 Starters over Finite Fields -- 3 Automorphisms and Hill-climbing -- 4 Conclusion -- 6 On minimal defining sets in AG(d, 3) -- 1 Background -- 2 Introduction -- 3 Further Preliminaries -- 4 Proof of the Main Theorem -- 5 Sets of good hyperplanes in AG(d, 3) -- 6 Related critical sets -- 7 Appendix -- 7 Hadamard Matrices, Orthogonal designs and Construction Algorithms -- 1 Algorithms for constructing Hadamard matrices -- 2 On inequivalent Hadamard matrices -- 3 Algorithms for constructing orthogonal designs -- 4 Short amicable sets and Kharaghani type orthogonal designs -- 8 Constructing a Class of Designs with Proportional Balance -- 1 Proportionally balanced designs -- 2 The method of construction -- 3 Feasible parameters for? = 2, 3 and 4 -- 4 Constructions motivated by Construction 5 -- 9 Constructions Using Balanced n-ary Designs -- 1 Introduction -- 2 Balanced n-ary Designs -- 3 Our Construction -- 4 Some Examples -- 5 Some Non-existence Results -- 6 An Improved Construction -- 7 Quadratic Residues -- 8 Another Improvement -- 9 An Application -- 10 More Difference Families -- 10 Sets of Steiner Triple Systems of Order 9 Revisited -- 1 Introduction -- 2 Large sets -- 3 Results -- 4 Uniformly intersecting sets -- 11 Solving Isomorphism Problems for t-Designs -- 1 Introduction -- 2 Basics -- 3 Moebius Inversions -- 4 Extensions of designs -- 12 Finding Double Youden Rectangles -- 1 Introduction -- 2 Definitions and Literature -- 3 Examples -- 4 Searching for a 13-cyclic 13? 40 DYR -- 5 Isomorphism -- 6 Further Properties of our new DYRs -- 7 Check for Balance -- 13 Kirkman Triple Systems and their Generalizations: A Survey -- 1 Introduction -- 2 Constructions for Kirkman Triple Systems and Nearly Kirkman Triple Systems for all admissible orders -- 3 Early Generalizations -- 4 Resolvable Packings and Coverings of v points where v? 0 (mod 3) -- 5 Other Generalizations -- 6 Conclusion and Acknowledgements. | |
| 520 | |a This volume is a sequel to the 1996 compilation, Computational and Constructive Design Theory. It contains research papers and surveys of recent research work on two closely related aspects of the study of combinatorial designs: design construction and computer-aided study of designs. Audience: This volume is suitable for researchers in the theory of combinatorial designs. | ||
| 588 | 0 | |a Print version record. | |
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| 650 | 7 | |a Combinatorial designs and configurations. |2 fast |0 (OCoLC)fst00868967. | |
| 700 | 1 | |a Wallis, W. D. |0 http://id.loc.gov/authorities/names/n79108595 |1 http://isni.org/isni/0000000368149146. | |
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| 830 | 0 | |a Mathematics and its applications (Kluwer Academic Publishers) ; |v v. 563. |0 http://id.loc.gov/authorities/names/n88505476. | |
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