Steiner triple systems of order 19 and 21 with subsystems of order 7

被引：22
作者：
Kaski, Petteri [1 ]
Ostergard, Patric R. J. [2 ]
Topalova, Svetlana [3 ]
Zlatarski, Rosen [3 ]
机构：
[1] Helsinki Univ Technol, Lab Theoret Comp Sci, FIN-02150 Espoo, Finland
[2] Helsinki Univ Technol, Dept Elect & Commun Engn, FIN-02150 Espoo, Finland
[3] Bulgarian Acad Sci, Inst Math & Informat, Veliko Tarnovo 5000, Bulgaria
来源：
DISCRETE MATHEMATICS | 2008年 / 308卷 / 13期
关键词：
classification; doubly resolvable design; Steiner triple system; subsystem;
D O I：
10.1016/j.disc.2006.06.038
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Steiner triple systems (STSs) with subsystems of order 7 are classified. For order 19, this classification is complete, but for order 21 it is restricted to Wilson-type systems, which contain three subsystems of order 7 on disjoint point sets. The classified STSs of order 21 are tested for resolvability; none of them is doubly resolvable. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：2732 / 2741
页数：10
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