Existence of HSOLSSOMs with types hn and 1nu1

Ars Combinatoria

Volumn 55, Issue , 2000, Pages 97-115

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

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

^b MOUNT SAINT VINCENT UNIVERSITY   (Canada)

^c University of Iowa   (United States)

^d SOOCHOW UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039030975     PISSN: 03817032     EISSN: 28175204     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. R.J.R. Abel, F.E. Bennett and H. Zhang, Holey Steiner pentagon systems, J. Combin. Designs, to appear.
2. F.E. Bennett, C.J. Colbourn and R.C. Mullin, Quintessential pairwise balanced designs, J. Statist. Plan. Infer., to appear.
3. F.E. Bennett, H. Zhang and L. Zhu, Holey self-orthogonal Latin squares with symmetric orthogonal mates, Ann. Combinatorics 1 (1997), 107-117.
4. n), Australasian J. Combinatorics 14 (1996), 207-220.
5. n) where h is even, Discrete Math. 158 (1996), 11-25.
6. Th. Beth, D. Jungnickel and H. Lenz, Design Theory, Bibliographisches Institut, Zurich, 1985.
7. C.J. Colbourn and J.H. Dinitz (eds.), CRC Handbook of Combinatorial Designs, CRC Press, Inc., 1996.
8. 1(2, 7, v), J. Combin. Designs 5 (1997), 111-124.
9. 4, Aequationes Math. 26 (1983), 176-183.
10. C.C. Lindner and D.R. Stinson, Steiner pentagon systems, Discrete Math. 52 (1984), 67-74.
11. R.C. Mullin and D.R. Stinson, Holey SOLSSOMs, Utilitas Math. 25 (1984), 159-169.
12. n) where h is odd, Utilitas Math. 27 (1985), 157-168.
13. S.P. Wang, On self-orthogonal latin squares and partial transversals of latin squares, Ph.D Thesis, Ohio State University, (1978).
14. R.M. Wilson, Constructions and uses of pairwise balanced designs, Math. Centre Tracts 55 (1974), 18-41.
15. 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.
16. n, Congressus Numerantium 45 (1984), 295-304.
17. L. Zhu, Existence of three-fold BIBDs with block-size seven, Applied Mathematics - A Journal of Chinese Universities 7 (1992), 321-326.