Handbook of combinatorial designs / edited by Charles J. Colbourn, Jeffrey H. Dinitz
(Discrete mathematics and its applications)
| データ種別 | 電子ブック |
|---|---|
| 版 | 2nd ed |
| 出版者 | Boca Raton, FL : Chapman & Hall/Taylor & Francis |
| 出版年 | c2007 |
| 本文言語 | 英語 |
| 大きさ | 1 online resource (984 pages) : illustrations |
書誌詳細を非表示
| 内容注記 | I. Introduction 1. Opening the door / Charles J. Colbourn 2. Design theory : antiquity to 1950 / Ian Anderson, Charles J. Colbourn, Jeffrey H. Dinitz and Terry S. Giuggs II. Block designs 1. 2-(v, k, [lambda]) designs of small order / Rudolf Mathon and Alexander Itosa 2. Triple systems / Charles J. Colbourn 3. BIBDs with small block size / R. Julian R. Abel and Malcolm Greig 4. t-designs with t [actual symbol not reproducible] 3 / Gholamreza B. Khosrovshahi and Reinhard Laue 5. Steiner systems / Charles J. Colbourn and Rudolf Mathon 6. Symmetric designs / Yury J. Ionin and Tran Van Trung 7. Resolvable and near-resolvable designs / R. Julian R. Abel, Gennian Ge and Jianxing Yin III. Latin squares 1. Latin squares / Charles J. Colbourn, Jeffrey H. Dinitz and Ian M. Wanless 2. Quasigroups / Frank E. Bennett and Charles C. Lindner 3. Mutually orthogonal latin squares (MOLS) / R. Julian R. Abel, Charles J. Colbourn and Jeffrey H. Dinitz 4. Incomplete MOLS / R. Julian R. Abel, Charles J. Colbourn and Jeffrey H. Dinitz 5. Self-orthogonal latin squares (SOLS) / Norman J. Finizio and L. Zhu 6. Orthogonal arrays of index more than one / Malcolm Greig and Charles J. Colbourn 7. Orthogonal arrays of strength more than two / Charles J. Colbourn IV. Pairwise balanced designs 1. PBDs and GDDs : the basics / Ronald C. Mullin and Hans-Dietrich O.F. Gronau 2. PBDs : recursive constructions / Malcolm Greig and Ronald C. Mullin 3. PBD-closure / R. Julian R. Abel, Frank E. Bennett and Malcolm Greig 4. Group divisible designs / Gennian Ge 5. PBDs, frames, and resolvability / Gennian Ge and Ying Miao 6. Pairwise balanced designs as linear spaces / Anton Betten V. Hadamard matrices and related designs 1. Hadamard matrices and hadamard designs / Robert Craigen and Hadi Kharaghani 2. Orthogonal designs / Robert Craigen and Hadi Kharaghani 3. D-optimal matrices / Hadi Kharaghani and William Orrick 4. Bhaskar Rao designs / Warwick de Launey 5. Generalized hadamard matrices / Warwick de Launey 6. Balanced generalized weighing matrices and conference matrices / Yury J. Ionin and Hadi Kharaghani 7. Sequence correlation / Tor Helleseth 8. Complementary, base, and turyn sequences / Hadi Kharaghani and Curistos Koukouvinos 9. Optical orthogonal codes / Tor Helleseth VI. Other combinatorial designs 1. Association schemes / Christopher D. Godsil and Sung Y. Song 2. Balanced ternary designs / Spencer P. Hurd and Dinesh G. Sarvate 3. Balanced tournament designs / Esther R. Lamken 4. Bent functions / Douglas R. Stinson 5. Block-transitive designs / Anne Delandtsheer 6. Complete mappings and sequencings of finite groups / Anthony B. Evans 7. Configurations / Harald Gropp 8. Correlation-immune and resilient functions / K. Gopalakrishnan and Douglas R. Stinson 9. Costas arrays / Herbert Taylor and Jeffrey H. Dinitz 10. Covering arrays / Charles J. Colbourn 11. Coverings / Daniel M. Gordon and Douglas R. Stinson 12. Cycle decompositions / Darryn Bryant and Chris Rodger 13. Defining sets / Ken Gray and Anne Penfold Street 14. Deletion-correcting codes / Vladimir L. Levenshtein 15. Derandomization / K. Gopalakrishnan and Douglas R. Stinson 16. Difference families / R. Julian R. Abel and Marco Buratti 17. Difference matrices / Charles J. Colbourn 18. Difference sets / Dieter Jungnickel, Alexander Pott and Ken W. Smith 19. Difference triangle sets / James B. Shearer 20. Directed designs / Frank E. Bennett and Alireza Mahmoodi 21. Factorial designs / Deborah J. Street 22. Frequency squares and hypercubes / Charles F. Laywine and Gary L. Mullen 23. Generalized quadrangles / Stanley E. Payne 24. Graph decompositions / Darryn Bryant and Saad El-Zanati 25. Graph embeddings and designs / Jozef Siran 26. Graphical designs / Yeow Meng Chee and Donald L. Kreher 27. Grooming / Jean-Claude Bermond and David Coudert 28. Hall triple systems / Lucien Beneteau 29. Howell designs / Jeffrey H. Dinitz 30. Infinite designs / Peter J. Cameron and Briget S. Webb 31. Linear spaces : geometric aspects / Lynn Margaret Batten 32. Lotto designs / (Ben) P.C. Li and G.H. John van Rees 33. Low density parity check codes / Ian F. Blake 34. Magic squares / Joseph M. Kudrle and Sarah B. Menard 35. Mendelsohn designs / Eric Mendelsohn 36. Nested designs / J.P. Morgan 37. Optimality and efficiency : comparing block designs / Deborah J. Street 38. Ordered designs, perpendicular arrays, and permutation sets / Jurgen Bierbrauer 39. Orthogonal main effect plans / Deborah J. Street 40. Packings / Douglas R. Stinson, Ruizhong Wei and Jianxing Yin 41. Partial geometries / Joseph A. Thas 42. Partially balanced incomplete block designs / Deborah J. Street and Anne Penfold Street 43. Perfect hash families / Robert A. Walker II and Charles J. Colbourn 44. Permutation codes and arrays / Peter J. Dukes 45. Permutation polynomials / Gary L. Mullen 46. Pooling designs / David C. Torney 47. Quasi-3 designs / Gary McGuire 48. Quasi-symmetric designs / Mohan S. Shrikhande 49. (r, [lambda])-designs / G.H. John van Rees 50. Room squares / Jeffrey H. Dinitz 51. Scheduling a tournament / J.H. Dinitz, Dalibor Froncek, Esther R. Lamken and Walter D. Wallis 52. Secrecy and authentication codes / K. Gopalakrishnan and Douglas R. Stinson 53. Skolem and langford sequences / Nabil Shalaby 54. Spherical designs / Akihiro Munemasa 55. Starters / Jeffrey H. Dinitz 56. Superimposed codes and combinatorial group testing / Charles J. Colbourn and Frank K. Hwang 57. Supersimple designs / Hans-Dietrich O.F. Gronau 58. Threshold and ramp schemes / K. Gopalakrishnan and Douglas R. Stinson 59. (t, m, s)-nets / William J. Martin 60. Trades / A.S. Hedayat and Gholamreza B. Khosrovshahi 61. Turan systems / Miklos Ruszinko 62. Tuscan squares / Wensong Chu, Solomon W. Golomb and Hong-Yeop Song 63. t-wise balanced designs / Earl S. Kramer and Donald L. Kreher 64. Whist tournaments / Ian Anderson and Norman J. Finizio 65. Youden squares and generalized youden designs / Donald A. Preece and Charles J. Colbourn VII. Related mathematics 1. Codes / Vladimir D. Tonchev 2. Finite geometry / Leo Storme 3. Divisible semiplanes / Rudolf Mathon 4. Graphs and multigraphs / Gordon F. Royle 5. Factorizations of graphs / Lars D. Andersen 6. Computational methods in design theory / Peter B. Gibbons and Patric R.J. Ostergard 7. Linear algebra and designs / Peter J. Dukes and Richard M. Wilson 8. Number theory and finite fields / Jeffrey H. Dinitz and Hugh C. Williams 9. Finite groups and designs / Leo G. Chouinard II, Robert Jajcay and Spyros S. Magliveras 10. Designs and matroids / Peter J. Cameron and Michel M. Deza 11. Strongly regular graphs / Andries E. Brouwer 12. Directed strongly regular graphs / Andries E. Brouwer and Sylvia A. Hobart 13. Two-graphs / Edward Spence |
|---|---|
| 一般注記 | Includes bibliographical references (pages 883-966) and index |
| 著者標目 | Colbourn, C. J. (Charles J.), 1953- Dinitz, Jeffrey H., 1952- |
| 件 名 | LCSH:Combinatorial designs and configurations FREE:MATHEMATICS -- Combinatorics 全ての件名で検索 FREE:Combinatorial designs and configurations FREE:Combinatieleer FREE:Electronic books |
| 分 類 | DC22:511/.6 |
| 巻冊次 | ISBN:9781420010541  ISBN:1420010549 ISBN:1584885068 ISBN:9781584885061
|
| ISBN | 9781420010541 |
| URL | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=184652 |
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