# 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)
• Published : 2004.04.01
• 63 15

#### 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

#### References

1. Annals of Discrete Math. v.15 The analysis of directed triple systems by refinement M.J.Colbourn;C.J.Colbourn
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#### Cited by

1. Large sets of extended directed triple systems with odd orders vol.310, pp.24, 2010, https://doi.org/10.1016/j.disc.2010.09.015
2. Large sets of extended directed triple systems with even orders vol.309, pp.23-24, 2009, https://doi.org/10.1016/j.disc.2009.06.025
3. Completing the spectrum for large sets of extended directed triple systems vol.338, pp.9, 2015, https://doi.org/10.1016/j.disc.2015.04.003