Support sizes of threefold quadruple systems
Support sizes of threefold quadruple systems
复制标题
支持三重四重系统的尺寸
DOI:
10.1016/j.disc.2011.02.006
复制
发表时间:
2011-06
影响因子:
0.8
通讯作者:
Liang, Miao
中科院分区:
文献类型:
--
作者:
Wang, Jian;Du, Beiliang;Liang, Miao
The support of a quadruple system QSλ(v) is the set of distinct blocks in the design, and the support size is the number of distinct blocks. Let qv=v(v−1)(v−2)24 and tv=qv+5v3. In this paper we show that the set of support sizes of a threefold quadruple system QS3(v) with v≡2,4(mod6) elements can have any number from [qv+14,3qv]∪{qv,qv+8,qv+12} provided v≥38, a threefold quadruple system QS3(v) with v≡0(mod6) elements can have any number from [tv+14,3qv]∪{tv,tv+8,tv+12} provided v≥42.
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DOI:
10.1016/0097-3165(86)90119-6
发表时间:
1986
期刊:
J. Comb. Theory, Ser. A
影响因子:
--
作者:
Alan Hartman;W. Mills;R. Mullin
通讯作者:
Alan Hartman;W. Mills;R. Mullin
DOI:
10.4153/cjm-1963-069-5
发表时间:
1963
期刊:
Canadian Journal of Mathematics
影响因子:
--
作者:
H. Hanani
通讯作者:
H. Hanani
DOI:
10.1016/0097-3165(92)90017-o
发表时间:
1992-11
期刊:
J. Comb. Theory A
影响因子:
--
作者:
C. Colbourn;C. Lindner
通讯作者:
C. Colbourn;C. Lindner
DOI:
10.1016/0097-3165(86)90115-9
发表时间:
1986
期刊:
J. Comb. Theory A
影响因子:
--
作者:
A. Rosa;D. Hoffman
通讯作者:
A. Rosa;D. Hoffman
DOI:
10.1016/0097-3165(82)90001-2
发表时间:
1982-09
期刊:
J. Comb. Theory A
影响因子:
--
作者:
Alan Hartman
通讯作者:
Alan Hartman