On the existence of mandatory representation designs with block sizes 3 and k

Journal of Combinatorial Designs

Volumn 8, Issue 2, 2000, Pages 122-131

  Grüttmüller, Martin ^a  

^a UNIVERSITY OF ROSTOCK   (Germany)

Author keywords

Combinatorial designs; Mandatory representation designs; Pairwise balanced designs

Indexed keywords

EID: 25744477745     PISSN: 10638539     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1520-6610(2000)8:2<122::AID-JCD4>3.0.CO;2-3     Document Type: Article

References (7)

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2. M. Grüttmüller, On the PBD-closure of sets containing 3. Discrete Appl. Math. 95 (1999), 251-272.
3. H. Hanani, Balanced incomplete block designs and related designs. Discrete Math. 11 (1975), 255-369.
4. E. Mendelsohn, and R. Rees, Mandatory representation designs. J. Combin. Theory Ser. A 49 (1988), 349-362.
5. R. C. Mullin, and H.-D. O. F. Gronau, "PBDs and GDDs," CRC handbook of combinatorial designs, C. J. Colbourn and J. H. Dinitz (Editors), CRC Press, 1996, pp. 185-226.
6. R. Rees, Mandatory representation designs MR(3, k; v) with k even and v odd. J. Stat. Planning and Inference (1998), submitted.
7. R. M. Wilson, An existence theory for pairwise balanced designs II: The structure of PBD-closed sets and the existence conjectures. J. Combin. Theory Ser. A, 13 (1972), 246-273.