511/.6 판사항(22)

1584885068 (hbk. : acid-free paper)
9781584885061 (hbk. : acid-free paper)

단행본(다권본)

Florida

Handbook of combinatorial designs / edited by Charles J. Colbourn, Jeffrey H. Dinitz.

2nd ed

984 p. : ill. ; 27 cm.

Discrete mathematics and its applications

Includes bibliographical references (p. 883-966) and index.
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.

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