Existence of Z-Cyclic $3$PTWh$(p)$ for Any Prime $p\equiv 1\ ({\rm mod}\ 4)$

Tao Feng and Yanxun Chang
Institute of Mathematics , Beijing Jiaotong University, Beijing 100044, P. R. China


Abstract     Full Text  PPT

We show that a Z-cyclic triplewhist tournament on $p$ players with threeperson property, briefly $3$PTWh($p$), exists for any prime $p\equiv 1$ (mod $4$) with the only exceptions of $p=5$, $13$, $17$.