EXTENDED DIRECTED TRIPLE SYSTEMS WITH A GIVEN AUTOMORPHISM

- Journal title : Communications of the Korean Mathematical Society
- Volume 19, Issue 2, 2004, pp.355-373
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/CKMS.2004.19.2.355

Title & Authors

EXTENDED DIRECTED TRIPLE SYSTEMS WITH A GIVEN AUTOMORPHISM

Cho, Chung-Je; Han, Yong-Hyeon;

Cho, Chung-Je; Han, Yong-Hyeon;

Abstract

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.

Keywords

extended directed triple system;automorphism;

Language

English

Cited by

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References