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An existence theorem for cyclic triplewhist tournaments

✍ Scribed by I. Anderson; S.D. Cohen; N.J. Finizio

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 418 KB
Volume: 138
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(94)00186-m

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✦ Synopsis

We show that a Z-cyclic triplewhist tournament TWh(v) exists whenever v =p] .... p~ where the primes p~ are -5(mod8), p~>29. The method of construction uses the existence of a primitive root ~o of each such Pi (~61) such that ~o2+eo+ 1 are both squares (modpi).

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