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 $textsc{k}$.

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