Holey Steiner pentagon systems

Journal of Combinatorial Designs

Volumn 7, Issue 1, 1999, Pages 41-56

  Abel, R J R ^a   Bennett, F E ^b   Zhang, H ^c  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

^b MOUNT SAINT VINCENT UNIVERSITY   (Canada)

^c University of Iowa   (United States)

Author keywords

Group divisible designs; Holey Steiner pentagon system

Indexed keywords

EID: 0007133828     PISSN: 10638539     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1520-6610(1999)7:1<41::AID-JCD6>3.0.CO;2-Q     Document Type: Article

References (19)

1. R. J. R. Abel, A. E. Brouwer, C. J. Colbourn, and J. H. Dinitz, "Mutually orthogonal Latin squares (MOLS)," CRC handbook of combinatorial designs, C. J. Colbourn and J. H. Dinitz (Editors), CRC Press, 1996, pp. 111-142.
2. R. J. R. Abel and S. C. Furino, "Resolvable and near resolvable designs," CRC handbook of combinatorial designs, C. J. Colbourn and J. H. Dinitz (Editors), CRC Press, 1996, pp. 87-94.
3. F. E. Bennett, C. J. Colbourn, and R. C. Mullin, Quintessential pairwise balanced designs, J. Statist. Plann. Inference (to appear).
4. F. E. Bennett, K. T. Phelps, C. A. Rodger, and L. Zhu, Constructions of perfect Mendelsohn designs, Discrete Math. 103 (1992), 139-151.
5. n) where h is even, Discrete Math. 158 (1996), 11-25.
6. n), Australasian J. Combinatorics 14 (1996), 207-220.
7. F. E. Bennett, H. Zhang, and L. Zhu, Holey self-orthogonal Latin squares with symmetric orthogonal mates, Ann. Combinatorics 1 (1997), 107-117.
8. Th. Beth, D. Jungnickel, and H. Lenz, Design theory, Bibliographisches Institut, Zurich, 1985.
9. J. Dénes and A. D. Keedwell, Latin squares and their applications, Academic Press, New York and London, 1974.
10. 1 (2, 5, v), J. Combin. Designs 4 (1996), 365-375.
11. H. Hanani, Balanced incomplete block designs and related designs, Discrete Math. 11 (1975), 255-369.
12. 4, Aequationes Math. 26 (1983), 176-183.
13. C. C. Lindner and C. A. Rodger, "Decomposition into cycles II: Cycle systems," Contemporary Design theory, Wiley, New York, 1992, pp. 325-369.
14. C. C. Lindner and D. R. Stinson, Steiner pentagon systems, Discrete Math. 52 (1984), 67-74.
15. R. C. Mullin and D. R. Stinson, Holey SOLSSOMS, Utilitas Math. 25 (1984), 159-169.
16. n) where h is odd, Utilitas Math. 27 (1985) 157-168.
17. Mark Stickel, Private communication.
18. R. M. Wilson, Constructions and uses of pairwise balanced designs, Math. Centre Tracts 55 (1974), 18-41.
19. J. Yin, A. C. H. Ling, C. J. Colbourn, and R. J. R. Abel, The existence of uniform 5-GDDs, J. Combin. Designs 5 (1997), 275-299.