TY  - BOOK
AU  - Grüttmüller, Martin
AU  - Roberts, Ian T.
AU  - D’Arcy, Sue
AU  - Egan, Judith
PY  - 2005
DA  - 2005//
TI  - The  minimum number of blocks in Pairwise Balanced Designs with maximum block size 4: the final cases
T3  - Preprints aus dem Institut für Mathematik
CY  - Germany; Rostock
AB  - The minimum number of blocks having maximum size precisely four that are required to cover, exactly λ times, all pairs of elements from a set of cardinality v is denoted by gλ(4)(v) are known except for λ = 1 andv = 17 or 18. It is known that 30<= g(4)(17) <= 31 and 32 <= g(4)(18) <= 33. In this paper we Show that g(4)(17) =/ 30 and g(4)(18) =/ 32, thus finalising the Determination of gλ(4)(v) for all λ and v<eng>
UR  - https://purl.uni-rostock.de/rosdok/id00005834
UR  - https://doi.org/10.18453/rosdok_id00005834
DO  - 10.18453/rosdok_id00005834
LA  - English
N1  - Martin Grüttmüller, Ian T. Roberts, Sue D’Arcy, Judith Egan
ID  - 1986775801
ER  -