Journalartikel
Autorenliste: MULLIN, RC; GARDNER, B; METSCH, K; VANREES, GHJ
Jahr der Veröffentlichung: 1990
Seiten: 199-215
Zeitschrift: Utilitas Mathematica
Bandnummer: 38
ISSN: 0315-3681
Verlag: Utilitas Mathematica Publishing Incorporated
Abstract:
Let S = {v:v = 0 or 1 (mod 3), v greater-than-or-equal-to 6.} Then S is PBD - closed and U = {v:v = 0 or 1 (mod 3), 6 less-than-or-equal-to v less-than-or-equal-to 40, v not-equal 31} union {45, 46, 51, 52, 58, 69, 93, 94, 99} is known to be a generating set for S, where all members of U satisfying v less-than-or-equal-to 45 are essential in any generating set for S. It is shown here that, in any generating set for S, 52 is also essential, 58 and 99 are inessential, and 51 is inessential if and only if there exists a BIBD(51, 6, 1).
Zitierstile
Harvard-Zitierstil: MULLIN, R., GARDNER, B., METSCH, K. and VANREES, G. (1990) SOME PROPERTIES OF FINITE BASES FOR THE ROSA SET, Utilitas Mathematica, 38, pp. 199-215
APA-Zitierstil: MULLIN, R., GARDNER, B., METSCH, K., & VANREES, G. (1990). SOME PROPERTIES OF FINITE BASES FOR THE ROSA SET. Utilitas Mathematica. 38, 199-215.