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Z-Cyclic Ordered Triplewhist and Directed Triplewhist Tournaments on p elements, where \( p = 9 (mod 16) \) is prime

Ian Anderson1, Leigh H. M. Ellison2
1Department of Mathematics, University of Glasgow
2University Gardens, Glasgow G12 8QW, UK

Abstract

We show that \( \mathbb{Z} \)-cyclic ordered triplewhist and directed triplewhist tournaments on \( p \) elements exist when \( p \equiv 9 \pmod{16} \) is prime.