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3重单纯三元系的相交数问题 被引量:1

The Intersection Problems of Simple Three-Fold Triple Systems of Order v
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摘要 一个三元系若不包含重复区组,则称为单纯三元系.本文运用嵌入技巧与差方法完整地解决了单纯3重三元系的相交数问题. A triple system is called simple if it contains no repeated blocks. In this paper, the intersection problem was completely solved for simple three fold triple systems, by using embedding technigues and the difference method.
作者 李亮 沈灏
出处 《上海交通大学学报》 EI CAS CSCD 北大核心 2004年第1期146-148,共3页 Journal of Shanghai Jiaotong University
基金 国家自然科学基金资助项目(19831050)
关键词 单纯三元系 相交数 差三元组 嵌入 simple triple systems intersection difference triple embedding
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参考文献7

  • 1[1]Kramer E S, Mesner D M. Intersections among Steiner systems[J]. JCT(A), 1974,16: 39- 43.
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同被引文献4

  • 1Lindner C C,Rosa A.Steiner triple systems having a prescribed number of triples in common[J].Canadian J Math,1975,27:1166-1175.
  • 2Khodkar A.Twofold triple systems having a prescribed number of triples in common[J].Utiltas Math,1995,45:203-214.
  • 3Ajoodani-Namini S,Khosrovshahi G B,Shokoufandeh A.Intersections of triple systems:Small orders[J].JCMCC,1996,20:33-52.
  • 4Shen H.Embeddings of simple triple systems[J].Science in China(Series A),1992,35:283-291.

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