EXTENDED DIRECTED TRIPLE SYSTEMS WITH A GIVEN AUTOMORPHISM
EXTENDED DIRECTED TRIPLE SYSTEMS WITH A GIVEN AUTOMORPHISM
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DOI：
10.4134/ckms.2004.19.2.355
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发表时间：
2004-04
影响因子：
0.6
通讯作者：
Chung-Je Cho;Yong-Hyeon Han
中科院分区：
文献类型：
--
作者：
Chung-Je Cho;Yong-Hyeon Han
一个扩展的v阶有向三重系统，用EDTS(v)表示，是一对（v,（方程省略）），其中v是一个v集，（方程省略）是v元素的传递三元组的集合，使得v的每一个有序元素对都包含在（方程省略）的一个元素中。我们得到了循环EDTS(v)s存在的充分必要条件，当k=1或2时，我们也得到了k-旋转EDTS(v)s存在的充分必要条件。
An extended directed triple system of order v, denoted by EDTS(v), is a pair (V, (equation omitted)) where V is a v-set and (equation omitted) is a set of transitive triples of elements of V such that every ordered pair of elements of V is contained in exactly one member of (equation omitted). We obtain a necessary and sufficient condition for the existence of cyclic EDTS(v)s, and when k=1 or 2, we also obtain a necessary and sufficient condition for the existence of k-rotational EDTS(v)s.