NEAR ROTATIONAL DIRECTED TRIPLE SYSTEMS

• Cho, Chung-Je (Department of Mathematics, College of Sciences, Sookmyung Women′s University)
• Published : 2001.04.01

Abstract

A directed triple system of order ν, denoted by DTS(ν), is said to be $textsc{k}$-near rotational if it admits an automorphism consisting of exactly three fixed elements and $textsc{k}$ cycles of length (ν-3)/$textsc{k}$. In this paper, we obtain necessary and sufficient conditions for the existence of $textsc{k}$-near rotational DTS(ν)s for every positive integer $textsc{k}$.

References

1. J. Korean Math. Soc. v.24 Ratational Directed Triple Systems C. J. Cho;Y. Chae;S, G. Hwang
2. Annals Of Discrete Mathmatics v.15 The analysis of directed triple systems by refinement M. J. Colbourn;C. J. Colbourn
3. J. Combin.Th.(A) v.14 Directed triple systems S. H. Y. Hung;N. S. Mendelsohn
4. Verification of a conjecture of Th. Skolem, Math. Scand. v.9 E. S. O'Keef
5. Poznamka o cycklickych Steinerovych systemoch trojic A. Rosa
6. Math. Scand. v.5 Om certain distributions of integers in pairs with given differences Th. Skolm