Journalartikel

SOME PROPERTIES OF FINITE BASES FOR THE ROSA SET


AutorenlisteMULLIN, RC; GARDNER, B; METSCH, K; VANREES, GHJ

Jahr der Veröffentlichung1990

Seiten199-215

ZeitschriftUtilitas Mathematica

Bandnummer38

ISSN0315-3681

VerlagUtilitas 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-ZitierstilMULLIN, 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-ZitierstilMULLIN, R., GARDNER, B., METSCH, K., & VANREES, G. (1990). SOME PROPERTIES OF FINITE BASES FOR THE ROSA SET. Utilitas Mathematica. 38, 199-215.


Zuletzt aktualisiert 2025-02-04 um 04:57