Abstract
Abstract In this chapter, we consider a second type of ordering: designs in which the blocks are cyclic triples. A Mendelsohn triple systemof order vand index λ is a pair (V, B). Vis a v-set of elementsand Bis a collection of cyclic triples on V;every ordered pair of distinct elements from Vappears in precisely λ of the cyclic triples of B.The abbreviation MTS(ν, λ) is typically employed, and the parameter Ais often omitted when λ= l. Mendelsohn (1971) first studied such designs under the name ‘cyclic triple systems’, which unfortunately can be confused with triple systems having a cyclic automorphism.
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