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http://dx.doi.org/10.4134/CKMS.2004.19.2.355

EXTENDED DIRECTED TRIPLE SYSTEMS WITH A GIVEN AUTOMORPHISM  

Cho, Chung-Je (Department of Mathematics College of Sciences Sookmyung Women's University)
Han, Yong-Hyeon (Department of Mathematics College of Sciences Sookmyung Women's University)
Publication Information
Communications of the Korean Mathematical Society / v.19, no.2, 2004 , pp. 355-373 More about this Journal
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;
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