The minimum number of blocks in Pairwise Balanced Designs with maximum block size 4: the final cases Grüttmüller, Martin , 1970- (VerfasserIn) Roberts, Ian T. (VerfasserIn) D’Arcy, Sue (VerfasserIn) Egan, Judith (VerfasserIn) Text Text 2005 2005 eng electronic resourceremoteComputermedienOnline-Ressource1 Online-Ressource (12 Seiten) 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> Open Access Urheberrechtsschutz 1.0 Martin Grüttmüller, Ian T. Roberts, Sue D’Arcy, Judith Egan 510 https://purl.uni-rostock.de/rosdok/id00005834 urn:nbn:de:gbv:28-rosdok_id00005834-8 doi: 10.18453/rosdok_id00005834 oclc: 1621474731 ppn: (DE-627)1986775801