Some new triplewhist tournaments TWh(v)
In: Journal of Combinatorial Theory, Series A, Jg. 101 (2003), S. 153-159
Online
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Zugriff:
It was Moore who first introduced the triplewhist tournament TWh(υ) problem in 1896. It is proved in the literature that the necessary condition for the existence of a TWh(υ), namely, υ ≡ 0 or 1 (mod4), is also sufficient except for υ ≡ 5,9 and possibly excepting υ ∈ {12, 56} ∪ {13, 17, 45, 57, 65, 69, 77, 85, 93,117, 129, 153}. In this paper, it is shown that ther is no TWh(12) and that there does exist a Z-cyclic TWh(υ) for each υ ∈ {44, 45, 48, 52, 56}. This completes the even case for the existence of TWh(υ). By applying frame constructions and product constructions, several new infinite classes of Z-cyclic triplewhist tournaments are then obtained.
Titel: |
Some new triplewhist tournaments TWh(v)
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Autor/in / Beteiligte Person: | Ge, Gennian ; Lam, C. W. H. |
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Zeitschrift: | Journal of Combinatorial Theory, Series A, Jg. 101 (2003), S. 153-159 |
Veröffentlichung: | Elsevier BV, 2003 |
Medientyp: | unknown |
ISSN: | 0097-3165 (print) |
DOI: | 10.1016/s0097-3165(02)00018-3 |
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