Necessary existence criteria for mandatory representation designs MRD (4, k, v)

Journal of Combinatorial Designs

Volumn 9, Issue 5, 2001, Pages 309-333

  Grüttmüller, Martin ^a   Rees, R S ^b  

^a UNIVERSITY OF ROSTOCK   (Germany)

^b MEMORIAL UNIVERSITY OF NEWFOUNDLAND   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242467519     PISSN: 10638539     EISSN: None     Source Type: Journal    
DOI: 10.1002/jcd.1014     Document Type: Article

References (18)

1. J. -C. Bermond, J. Bond, and D. Sotteau, On regular packings and coverings, Ann Discrete Math 34 (1987), 81-99.
2. T. Beth, D. Jungnickel, and H. Lenz, Design Theory. Bibliographisches Institut, Zürich, 1985
3. (D. Jungnickel, Design Theory: An Update, Ars Comb 28 (1989), 129-199).
4. A. Brouwer and H. Lenz, Unterräume von Blockplänen, Geometrie-Symposium Siegen, Birkhäuser Verlag, Basel, 1977, pp. 383-389.
5. A. Brouwer and H. Lenz, Subspaces of linear spaces of line size 4, Eur J Comb 2 (1981), 323-330.
6. C. J. Colbourn and J. H. Dinitz (Editors), CRC Handbook of Combinatorial Designs, CRC Press, Boca Raton, FL, 1996.
7. D. A. Drake and J. A. Larson, Pairwise balanced designs whose line sizes do not divide six, J Comb Theory Ser A 34 (1983), 266-300.
8. H. Gropp, Nonsymmetric configurations with natural index, Discrete Math 124 (1994), 87-98.
9. H. Gopp, Configurations, C. J. Colbourn, and J. H. Dinitz (Editors), CRC Handbook of Combinatorial Designs, CRC Press, Boca Raton, FL, 1996, pp. 253-255.
10. M. Grüttmüller and R. S. Rees, Mandatory representation designs MRD(4, k; v) with k ≡ 1 mod 3, Util Math, to appear.
11. H. Hanani, Balanced incomplete block designs and related designs, Discrete Math 11 (1975), 255-369.
12. H. Hanani, D. K. Ray-Chaudhuri, and R. M. Wilson, On resolvable designs, Discrete Math 3 (1972), 343-357.
13. E. Mendelsohn and R. Rees, Mandatory representation designs, J Comb Theory Ser A 49 (1988), 349-362.
14. R. C. Mullin, A. C. H. Ling, R. J. R. Abel, and F. E. Bennett, On the closure of subsets of {4, 5, . . . , 9} which contain {4}, Ars Comb 45 (1997), 33-76.
15. R. S. Rees and D. R. Stinson, On the existence of incomplete designs of block size four having one hole, Util Math 35 (1989), 119-152.
16. D. R. Stinson, Determination of a packing number, Ars Comb 3 (1977), 89-114.
17. R. M. Wilson, An existence theory for pairwise balanced designs. II. The structure of PBD-closed sets and the existence conjectures, J Comb Theory Ser A 13 ( 1972), 246-273.
18. R. Wei and L. Zhu, Embeddings of Steiner systems S(2, 4, v), Ann Discrete Math 34 (1987), 465-470.