λ-fold indecomposable large sets of Steiner triple systems

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：cqt19900112

【摘要】

：

A family (X, B1), (X, B2), . . . , (X, Bq) of q STS(v)s is a λ-fold large set of STS(v) and denoted by LSTSλ(v) if every 3-subset of X is contained in exactly

【作者】

：

LiJun Ji (1) jilijun@suda.edu.

【出处】

：

中国科学：数学英文版

【发表日期】

：

2010年11期

【关键词】

：

STEINER TRIPLE SYSTEM large SET candelabra SYSTEM INDECOMPOSABLE Steiner triple

【基金项目】

：

supported by National Natural Science Foundation of China (Grant Nos.10971051, 10701060, 10831002),Qing Lan Project of Jiangsu Province, China

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A family (X, B1), (X, B2), . . . , (X, Bq) of q STS(v)s is a λ-fold large set of STS(v) and denoted by LSTSλ(v) if every 3-subset of X is contained in exactly λ STS(v)s of the collection. It is indecomposable and denoted by IDLSTSλ(v) if there exists no L

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λ-fold indecomposable large sets of Steiner triple systems

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