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期刊论文
General frame constructionsfor Z-cyclic triplewhist tournaments ✩
Journal of Combinatorial Theory, Series A 114(2007)747-760,-0001,():
Frames are useful in dealing with resolvable designs such as resolvable balanced incomplete blockdesigns and triplewhist tournaments. Z-cyclic triplewhist tournament frames are also useful in the constructionsof Z-cyclic triplewhist tournaments. In this paper, the concept of an (h1, h2,..., hn; u)-regularZ-cyclic triplewhist tournament frame is defined, and used to establish several quite general recursive constructionsfor Z-cyclic triplewhist tournaments. As corollaries, we are able to unify many known constructionsfor Z-cyclic triplewhist tournaments. As an application, some new Z-cyclic triplewhist tournamentframes and Z-cyclic triplewhist tournaments are obtained. The known existence results of such designs arethen extended.
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