Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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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
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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.

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References

  1. Discrete Math. v.24 Extended cyclic triple systems Frank E.Bennett https://doi.org/10.1016/0012-365X(78)90192-9
  2. Kyungpook Math. J. v.31 Rotational extended triple systems C.J.Cho
  3. J. Korean Math. Soc. v.24 no.1 Rotational directed triple systems C.J.Cho;Y.Chae;S.G.Hwang
  4. Annals of Discrete Math. v.15 The analysis of directed triple systems by refinement M.J.Colbourn;C.J.Colbourn
  5. Aequatines Math. v.3 Extended triple systems D.M.Johnson;N.S.Mendelsohn
  6. Compositio Math. v.6 Eine L$\{o}$sung der beiden Heffterschen Differenzenproblem R.Petesohn

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  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