Cyclic and Rotational Hybrid Triple Systems

Document Type

Article

Publication Date

10-15-1997

Description

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

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