NONSYMMETRIC CONFIGURATIONS WITH NATURAL INDEX

被引：10
作者：
GROPP, H
机构：
[1] W-69121 Heidelberg
来源：
DISCRETE MATHEMATICS | 1994年 / 124卷 / 1-3期
关键词：
D O I：
10.1016/0012-365X(94)90087-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The existence of nonsymmetric configurations (v(r), b(k)) is discussed here for the first time as a general problem. By using results about resolvable and near-resolvable Steiner systems as well as difference triangle sets, the existence of all configurations with k = 3 is proved. For k greater than or equal to 4 many infinite series of configurations with natural index are constructed, i.e. configurations where the number of blocks b is a multiple of the number of points v.
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页码：87 / 98
页数：12
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