AN EXISTENCE THEOREM FOR CYCLIC TRIPLEWHIST TOURNAMENTS

被引：16
作者：
ANDERSON, I
COHEN, SD
FINIZIO, NJ
机构：
[1] UNIV GLASGOW,DEPT MATH,GLASGOW G12 8QW,LANARK,SCOTLAND
[2] UNIV RHODE ISL,DEPT MATH,KINGSTON,RI 02881
来源：
DISCRETE MATHEMATICS | 1995年 / 138卷 / 1-3期
关键词：
D O I：
10.1016/0012-365X(94)00186-M
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that a Z-cyclic triplewhist tournament TWh(v) exists whenever v = p(1)(alpha 1) ... p(r)(alpha r) where 1 the primes p(i) are = 5(mod 8), p(i) greater than or equal to 29. The method of construction uses the existence of a primitive root omega of each such p(i) (not equal 61) such that omega(2) +/- omega + 1 are both squares (mod p(i)).
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收藏
页码：31 / 41
页数：11
相关论文
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