Mendelsohn triple systems excluding contiguous units with $\lambda=1$
Bull. Korean Math. Soc. 2008 Vol. 45, No. 2, 231-239 Printed June 1, 2008
Chung Je Cho Sukmyung women's University
Abstract : We obtain a necessary and sufficient condition for the existence of Mendelsohn triple systems excluding contiguous units with $\lambda=1$. Also, we obtain the spectrum for cyclic such systems.
Keywords : triple system sampling plan excluding contiguous units, directed (Mendelsohn) triple system, automorphism, (partial) triple system, Latin square, group divisible design