Journal article
Authors list: MULLIN, RC; GARDNER, B; METSCH, K; VANREES, GHJ
Publication year: 1990
Pages: 199-215
Journal: Utilitas Mathematica
Volume number: 38
ISSN: 0315-3681
Publisher: 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).
Citation Styles
Harvard Citation style: 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 Citation style: MULLIN, R., GARDNER, B., METSCH, K., & VANREES, G. (1990). SOME PROPERTIES OF FINITE BASES FOR THE ROSA SET. Utilitas Mathematica. 38, 199-215.
