Skew-orthogonal Steiner triple systems

Journal of Combinatorial Designs

Volumn 7, Issue 6, 1999, Pages 431-440

  Dukes, P ^a   Mendelsohn, E ^a  

^a UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 27844525510     PISSN: 10638539     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1520-6610(1999)7:6<431::aid-jcd4>3.0.co;2-%23     Document Type: Article

References (24)

1. Y. M. Chee, C. J. Colbourn, and A. C. H. Ling, Weakly union-free twofold triple systems, Annals of Combinatorics, Springer-Verlag 1 (1997).
2. C. J. Colbourn, and J. H. Dinitz, Making the MOLS table, in: Computational and Constructive Design Theory, Kluwer, Boston, 1996.
3. C. J. Colbourn, P. B. Gibbons, R. Mathon, R. C. Mullin, and A. Rosa, The spectrum of orthogonal Steiner triple systems, Canad J Math 46(2) (1994), 239-252.
4. C. J. Colbourn, and J. H. Dinitz, (Editors), CRC Handbook of Combinatorial Designs, CRC Press, New York, 1996.
5. P. B. Gibbons, A census of orthogonal Steiner triple systems of order 15, Ann Discrete Math 26 (1985), 165-182.
6. P. B. Gibbons, and R. A. Mathon, The use of hill-climbing to construct orthogonal Steiner triple systems, J Combin Des 1 (1993), 27-50.
7. M. Greig, Designs from projective planes and PBD bases (unpublished).
8. T. Griggs, J. Murphy, and J. S. Phelan, Anti-Pasch Steiner triple systems, J Combin Inf Syst Sci 15 (1990), 79-84.
9. 2n, Bull Inst Combin Appl 18 (1996), 65-68.
10. M. Jr. Hall, Combinatorial Theory, Blaisdell, Toronto, 1967.
11. E. Lamken, and R. Wilson, Decompositions of edge-colored complete graphs, (in progress), 1998.
12. H. Lefmann, K.T. Phelps, and V. Rödl, Extremal problems for triple systems, J Combin Des 1 (1993), 379-394.
13. R. Mathon, and A. Rosa, Some results on the existence and enumeration of BIBDs, McMaster University Math Reports 125, 1985.
14. R. C. Mullin, and E. Nemeth, On furnishing Room squares, J Combin Theory 7 (1969), 266-272.
15. R. C. Mullin, and E. Nemeth, On the nonexistence of orthogonal Steiner triple systems of order 9, Canad Math Bull 13 (1970), 131-134.
16. R. C. Mullin, and E. Nemeth, An existence theorem for Room squares, Canad Math Bull 12 (1969), 493-497.
17. R. C. Mullin, and D. R. Stinson, Pairwise balanced designs with block sizes 6t + 1, Graphs and Combinatorics 3 (1987), 365-377.
18. C. D. O'Shaughnessy, A Room design of order 14, Canad Math Bull 11 (1968), 191-194.
19. R. M. Robinson, The structure of certain triple systems, Math Comput 20 (1975), 223-241.
20. A. Rosa, On the falsity of a conjecture on or thogonal Steiner triple systems, J Combin Theory 16A (1974), 126-128.
21. D. R. Stinson, and R. Wei, Some results on quadrilaterals in Steiner triple systems, Discrete Math 105 (1992), 207-219.
22. D. R. Stinson, and L. Zhu, Orthogonal Steiner triple systems of order 6t + 3, ARS Combin 31 (1991), 33-64.
23. W. D. Wallis, Combinatorial Designs, Dekker 118, New York, 1988.
24. R. M. Wilson, Concerning the number of mutually orthogonal Latin squares, Discrete Math 9 (1974), 181-198.