AUTOMORPHISMS OF DIRECTED TRIPLE-SYSTEMS

被引:2
作者
COLBOURN, CJ [1 ]
机构
[1] UNIV WATERLOO,DEPT COMBINATOR & OPTIMIZAT,WATERLOO N2L 3G1,ONTARIO,CANADA
关键词
D O I
10.1017/S0004972700029026
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The obvious necessary conditions for a triple system of index two having a given automorphism group to underly a directed triple system having the same group are shown to be sufficient. An efficient algorithm for directing the triple system in a way that preserves its group is given. Applications to the existence of directed triple systems with various automorphisms are outlined.
引用
收藏
页码:257 / 264
页数:8
相关论文
共 15 条
  • [11] HARMS JJ, 1985, ANN DISCRETE MATH, V26, P221
  • [12] HARMS JJ, 1985, ANN DISCRETE MATH, V27, P433
  • [13] Hung S. H. Y., 1973, Journal of Combinatorial Theory, Series A, V14, P310, DOI 10.1016/0097-3165(73)90007-1
  • [14] ALL DIRECTED BIBDS WITH K=3 EXIST
    SEBERRY, J
    SKILLICORN, D
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 1980, 29 (02) : 244 - 248
  • [15] STINSON DR, 1983, AUSTR MATH SOC GAZ, V10, P84