Elsevier

Discrete Mathematics

Volume 175, Issues 1–3, 15 October 1997, Pages 143-161
Discrete Mathematics

Contribution
Cyclic and rotational hybrid triple systems

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Abstract

A hybrid triple system of order ν, denoted HTS(ν), is said to be cyclic if it admits an automorphism consisting of a single cycle of length ν. A HTS(ν) admitting an automorphism consisting of a fixed point and a cycle of length ν − 1 is said to be rotational. Necessary and sufficient conditions are given for the existence of a cyclic HTS(ν) and a rotational HTS(ν).

Cited by (0)

1

Research supported by ETSU under RDC grant #94-105/M.

2

Research supported by MURST and GNSAGA.

3

Research supported by MTSU Faculty Research Committee grant #220715.

Copyright © 1997 Published by Elsevier B.V.