λ≤5的区传递7-(v, k, λ)设计的存在性(The existence of block-transitive 7-(v, k, λ) designs with λ≤5)
1993年，CAMERON和PRAGEGER证明了不存在t>7的非平凡的区传递t-设计，并且猜想不存在非平凡的区传递6设计.然而区传递7-设计的存在性仍然是一个公开的问题.本文研究了这一公开问题，证明了当λ≤5时不存在非平凡的区传递7-（v, k, λ）设计....
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2013-07-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2013.04.004 |
| _version_ | 1797235912118108160 |
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| author | GONGLuo-zhong(龚罗中) LIUWei-jun(刘伟俊) |
| author_facet | GONGLuo-zhong(龚罗中) LIUWei-jun(刘伟俊) |
| author_sort | GONGLuo-zhong(龚罗中) |
| collection | DOAJ |
| description | 1993年，CAMERON和PRAGEGER证明了不存在t>7的非平凡的区传递t-设计，并且猜想不存在非平凡的区传递6设计.然而区传递7-设计的存在性仍然是一个公开的问题.本文研究了这一公开问题，证明了当λ≤5时不存在非平凡的区传递7-（v, k, λ）设计. |
| first_indexed | 2024-04-24T16:55:29Z |
| format | Article |
| id | doaj.art-5933248a5bbd4d7a9916cee4cc780a28 |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T16:55:29Z |
| publishDate | 2013-07-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-5933248a5bbd4d7a9916cee4cc780a282024-03-29T01:58:32ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972013-07-0140437838110.3785/j.issn.1008-9497.2013.04.004λ≤5的区传递7-(v, k, λ)设计的存在性(The existence of block-transitive 7-(v, k, λ) designs with λ≤5)GONGLuo-zhong(龚罗中)0LIUWei-jun(刘伟俊)1( 1. Deportment of Mathematics and Computing, Hunan University of Science and Engineering, Yongzhou 425100, Hunan Province, China)( 2. College of Statistics, Central South University, Changsha 410075, China)1993年，CAMERON和PRAGEGER证明了不存在t>7的非平凡的区传递t-设计，并且猜想不存在非平凡的区传递6设计.然而区传递7-设计的存在性仍然是一个公开的问题.本文研究了这一公开问题，证明了当λ≤5时不存在非平凡的区传递7-（v, k, λ）设计.https://doi.org/10.3785/j.issn.1008-9497.2013.04.004designblock-transitivecameron-preager conjecture |
| spellingShingle | GONGLuo-zhong(龚罗中) LIUWei-jun(刘伟俊) λ≤5的区传递7-(v, k, λ)设计的存在性(The existence of block-transitive 7-(v, k, λ) designs with λ≤5) Zhejiang Daxue xuebao. Lixue ban design block-transitive cameron-preager conjecture |
| title | λ≤5的区传递7-(v, k, λ)设计的存在性(The existence of block-transitive 7-(v, k, λ) designs with λ≤5) |
| title_full | λ≤5的区传递7-(v, k, λ)设计的存在性(The existence of block-transitive 7-(v, k, λ) designs with λ≤5) |
| title_fullStr | λ≤5的区传递7-(v, k, λ)设计的存在性(The existence of block-transitive 7-(v, k, λ) designs with λ≤5) |
| title_full_unstemmed | λ≤5的区传递7-(v, k, λ)设计的存在性(The existence of block-transitive 7-(v, k, λ) designs with λ≤5) |
| title_short | λ≤5的区传递7-(v, k, λ)设计的存在性(The existence of block-transitive 7-(v, k, λ) designs with λ≤5) |
| title_sort | λ≤5的区传递7 v k λ 设计的存在性 the existence of block transitive 7 v k λ designs with λ≤5 |
| topic | design block-transitive cameron-preager conjecture |
| url | https://doi.org/10.3785/j.issn.1008-9497.2013.04.004 |
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