期刊文献+

EMBEDDINGS OF SIMPLE TWO-FOLD BALANCED INCOMPLETE BLOCK DESIGNS WITH BLOCK SIZE FOUR

EMBEDDINGS OF SIMPLE TWO-FOLD BALANCED INCOMPLETE BLOCK DESIGNS WITH BLOCK SIZE FOUR
原文传递
导出
摘要 The necessary and sufficient conditions for the existence of simple incomplete block design (v, ω; 4, 2)-IPBDs are determined. As a consequence, the necessary and sufficient conditions for the embeddings of simple two-fold balanced incomplete block designs with block size 4 are also determined.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2005年第4期643-650,共8页 数学年刊(B辑英文版)
基金 Project supported by the National Natural Science Foundation of China (No. 10471093).
关键词 Block design SIMPLE EMBEDDING 区组设计 嵌入理论 折叠平衡 子集
  • 相关文献

参考文献7

  • 1Colbourn, C. J. & Rosa, A., Triple systems, Clarendon Press, Oxford, 1999.
  • 2Phelps, K. T. & Rosa, A., Recursive constructions and some properties of two-fold designs with block size four, J. Australian Math. Soc. (Series A), 44(1988), 64-70.
  • 3Rees, R. & Rodger, C. A., Subdesigns in complementary path decomposition and incomplete two-fold designs with block size four, Ars Combin., 35(1993), 117-122.
  • 4Rees, R. & Stinson, D. R., On the existence of incomplete designs with block size four having one hole, Utilitas Math., 35(1989), 119-152.
  • 5Shen, H., On the existence of simple and indecomposable block designs with size 4, J. Combin. Math. Combin. Comput., 8(1990), 31-38.
  • 6Shen, H., Embeddings of simple triple systems, Science in China, Series A, 35(1992), 283-291.
  • 7Xu, Y. & Zhu, L., Existence of frame SOLS of type 2nu1, J. Combin. Design, 3(1995), 115-133.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部