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MENDELSOHN TRIPLE SYSTEMS EXCLUDING CONTIGUOUS UNITS WITH λ = 1

조충제
대한수학회 (The Korean Mathematical Society)|2008.05|대한수학회보 (Bulletin of the KMS)|제45권 제2호|pp. 231-239

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참고문헌

키워드

automorphismLatin squaredirected (Mendelsohn) triple system(partial) triple systemgroup divisible design
주제분류수학

초록

We obtain a necessary and sucient condition for the exis-tence of Mendelsohn triple systems excluding contiguous units with = λ1. Also, we obtain the spectrum for cyclic such systems.

Abstract

We obtain a necessary and sucient condition for the exis-tence of Mendelsohn triple systems excluding contiguous units with = λ1. Also, we obtain the spectrum for cyclic such systems.

참고문헌 (15)

  1. I. Anderson, "Combinatorial Designs : Construction Methods" (1990), Halsted Press
  2. F. E. Bennett, "Direct constructions for perfect 3-cyclic designs, Algebraic and geometric combinatorics", North-Holland Mathematics Studies, 65, pp.63~68 (1982)
  3. C. J. Colbourn, "Automorphisms of directed triple systems", BULLETIN of the Australian Mathematical Society, 43(2), pp.257~264 (1991)
  4. C. J. Colbourn, "Every twofold triple system can be directed", Journal of Combinatorial Theory Series A, 34(3), pp.375~378 (1983)
  5. C. J. Colbourn, "Directing triple systems", Ars Combinatoria, 15, pp.261~266 (1983)
  6. C. J. Colbourn, "A class of partial triple systems with applications in survey sampling", Communications in Statistics Theory and Methods, 27(4), pp.1009~1018 (1998)
  7. C. J. Colbourn, "Quadratic leaves of maximal partial triple systems", Graphs and Combinatorics, 2(4), pp.317~337 (1986)
  8. H. Hanani, "The existence and construction of balanced incomplete block designs", The Annals of Mathematical Statistics, 32, pp.361~386 (1961)
  9. J. J. Harms, "An optimal algorithm for directing triple systems using Eulerian circuits, Cycles in graphs (Burnaby, B.C., 1982)", North-Holland Mathematics Studies, 115, pp.433~438 (1985)
  10. S. H. Y. Hung, "Directed triple systems", Journal of Combinatorial Theory Series A, 14, pp.310~318 (1973)
  11. N. S. Mendelsohn, "A natural generalization of Steiner triple systems, Computers in number theory", Proceedings of the Science Research Council Atlas Symposium, pp.323~338 (1971)
  12. J. Seberry, "All directed BIBDs with k = 3 exist", Journal of Combinatorial Theory Series A, 29(2), pp.244~248 (1980)
  13. D. T. Todorov, "Three mutually orthogonal Latin squares of order 14", Ars Combinatoria, 20, pp.45~47 (1985)
  14. W. D. Wallis, "Three orthogonal Latin squares", advances in mathematics (Beijing), 15(3), pp.269~281 (1986)
  15. R. Wei, "Cyclic BSEC of block size 3", Discrete Mathematics, 250(1), pp.291~298 (2002)

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