Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2008; 45(2): 231-239

Printed June 1, 2008

Copyright © The Korean Mathematical Society.

Mendelsohn triple systems excluding contiguous units with $\lambda=1$

Chung Je Cho

Sukmyung women's University

Abstract

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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

MSC numbers: 05B05, 05B07, 05B10

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