%0 Book %T An improved bound on the cardinality of the minimal pairwise balanced designs on 18 points with maximum block size 4 %A Roberts, Ian T. %A D’Arcy, Sue %A Egan, Judith %A Grüttmüller, Martin %S Preprints aus dem Institut für Mathematik %D 2005 %C Germany; Rostock %G English %F 1987109260 %O Ian T. Roberts, Sue D’Arcy, Judith Egan, Martin Grüttmüller %X The cardinality of the minimal pairwise balanced designs on v elements with largest block size k is denoted by g(k)(v). It is known that 31 <= g(4)(18) <= 33. In this paper we show that g(4)(18) =/ 31. %L 510 %9 Text %R 10.18453/rosdok_id00005893 %U https://purl.uni-rostock.de/rosdok/id00005893 %U https://doi.org/10.18453/rosdok_id00005893