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纯的可迁三元系大集的存在谱 被引量：2

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摘要 LPDTS(ν)是同一个ν元集上3(ν-2)个互不相交的纯的可迁三元系的集合．田子红在其博士论文中,证明了当ν=0．4(mod 6)且ν≥4时存在LPDTS(ν)．本文建立了当ν=1．3(mod 6)且ν>3时LPDTS(ν)的存在性,由此确定了LPDTS(ν)的存在谱为{ν:ν=0．1(mod 3),ν≥4}．
作者 周君灵 常彦勋 季利均
机构地区 北京交通大学数学研究所 苏州大学数学系
出处 《中国科学（A辑）》 CSCD 北大核心 2006年第7期764-788,共25页 Science in China(Series A)
基金 国家自然科学基金(批准号:10371002) 国家自然科学天元数学基金(批准号:10526032) 江苏省高校自然科学基金(批准号:05KJB110111)资助项目
关键词 大集 有向三元系 纯的 可迁烛台系
分类号 O144 [理学—基础数学]
  • 相关文献

参考文献10

  • 1Shen H. Embeddings of pure Mendelsohn triple systems and pure directed triple systems. J Combin Designs, 1995, 3 (1): 41-50
  • 2Kang Q, Chang Y. A completion of the spectrum for large sets of transitive triple systems. J Combin Theory (A), 1992, 60:287-294
  • 3Bennett F E, Kang Q, Lei J, et al. Large sets of disjoint pure Mendelsohn triple systems. J Statist Plann Inference, 2001, 95:89-115
  • 4Lei J. Further results on large set of disjoint pure Mendelsohn triple systems. J Combin Designs, 2000, 8:274-290
  • 5Moháicsy H, Ray-Chaudhuri D K. Candelabra systems and designs. J Statist Plann Inference, 2002, 106:419-448
  • 6Kang Q, Tian Z. Large sets of oriented triple systems with resolvability. Discrete Math, 2000, 212:199-221
  • 7Hanani H. On quadruple systems. Canad J Math, 1960, 12:145-157
  • 8Mills W H. On the covering of triples by quadruples. Congr Numer, 1974, 10:563-581
  • 9Mills W H. On the existence of H designs. Congr Numer, 1990, 79:129-141
  • 10Lei J. On large sets of Kirkman triple systems. Discrete Math, 2002, 257:63-81

同被引文献15

  • 1Chang Y.On large sets of directed triple systems[J].J Statist Plann Inference,1996,51(2):137-142.
  • 2Fan B,Zhou J.Large sets of pure directed tripJe systems with index λ[J].Acta Math Sin,Engl Ser,2010,accepted.
  • 3Bennett F,Kang Q,Lei J,et al.Large sets of disjoint pure Mendelsohn triple systems[J].J Statist Plann Inference,2001,95(1):89-115.
  • 4Hanani H. On some tactical configuration. Canad J Math, 15:702-722 (1963)
  • 5Ji L. On 3BD-closed set B3({4,5}). Discrete Math, 287:55-67 (2004)
  • 6Hanani H. A Class of three-designs. J Combin Theory (A), 26:1-19 (1979)
  • 7Colbourn C J, Dinitz J H. The CRC Handbook of Combinatorial Designs. Boca Raton: CRC Press, 1996
  • 8Colbourn C J, Rosa A. Directed and Mendelsohn triple systems. In: Contemporary Design Theory, Ch 4. New York: Wiley-Interscience, 1992, 97-136
  • 9Kang Q, Lei J. On large sets of resolvable and almost resolvable oriented triple systems. J Combin Designs, 4(2): 95-104 (1996)
  • 10Kang Q, Chang Y. A completion of the spectrum for large set of disjoint transitive triple systems. J Combin Theory (A), 60:287-294 (1992)

引证文献2

中国科学（A辑）
2006年 第7期

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