Near rotational directed triple systems
Commun. Korean Math. Soc. 2001 Vol. 16, No. 2, 309-317
Chung Je Cho
Sookmyung Women's University
Abstract : A directed triple system of order $v$, denoted by $DTS(v)$, is said to be $k$--near rotational if it admits an automorphism consisting of exactly three fixed elements and $k$ cycles of length $\frac{v-3}{k}$. In this paper, we obtain necessary and sufficient conditions for the existence of $k$--near rotational $DTS(v)$s for every positive integer $k$.
Keywords : directed triple system, automorphism of a directed triple system
MSC numbers : 05B05, 05B07, 05B10
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