%0 Book
%T The  minimum number of blocks in Pairwise Balanced Designs with maximum block size 4: the final cases
%A Grüttmüller, Martin
%A Roberts, Ian T.
%A D’Arcy, Sue
%A Egan, Judith
%S Preprints aus dem Institut für Mathematik
%D 2005
%C Germany; Rostock
%G English
%F 1986775801
%O Martin Grüttmüller, Ian T. Roberts, Sue D’Arcy, Judith Egan
%X 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>
%L 510
%9 Text
%R 10.18453/rosdok_id00005834
%U https://purl.uni-rostock.de/rosdok/id00005834
%U https://doi.org/10.18453/rosdok_id00005834