Construction of block designs with resolvability or nested structure 分解可能性または巣型構造を持つブロックデザインの構成法
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Bibliographic Information
- Title
-
Construction of block designs with resolvability or nested structure
- Other Title
-
分解可能性または巣型構造を持つブロックデザインの構成法
- Author
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繆, 瑩
- Author(Another name)
-
ミャオ, イン
- University
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広島大学
- Types of degree
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博士 (理学)
- Grant ID
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甲第1594号
- Degree year
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1997-03-25
Note and Description
博士論文
Table of Contents
- Contents / p1 (0005.jp2)
- 1 Preliminaries / p3 (0007.jp2)
- 1.1 Introduction / p3 (0007.jp2)
- 1.2 Design-theoretic background / p5 (0009.jp2)
- 2 Double group divisible designs / p7 (0011.jp2)
- 2.1 Constructions for incomplete double group divisible designs / p7 (0011.jp2)
- 2.2 A construction for group divisible designs / p10 (0014.jp2)
- 2.3 Corollaries / p11 (0015.jp2)
- 3 Frames / p13 (0017.jp2)
- 3.1 Double frames / p13 (0017.jp2)
- 3.2 Recursive constructions for frames / p15 (0019.jp2)
- 3.3 Difference family constructions for frames / p17 (0021.jp2)
- 3.4 Skew Room frame constructions for frames / p21 (0025.jp2)
- 3.5 MOLS constructions for frames / p23 (0027.jp2)
- 3.6 IGDD constructions for frames / p24 (0028.jp2)
- 3.7 Almost resolvable BIBDs / p25 (0029.jp2)
- 4 Resolvable designs / p28 (0032.jp2)
- 4.1 Recursive constructions / p29 (0033.jp2)
- 4.2 Difference family constructions / p30 (0034.jp2)
- 4.3 A Baer subplane construction / p32 (0036.jp2)
- 4.4 ARBIBD constructions / p33 (0037.jp2)
- 4.5 Enlarging block size constructions / p34 (0038.jp2)
- 5 Nested designs / p36 (0040.jp2)
- 5.1 Nested GDDs and nested BIBDs / p36 (0040.jp2)
- 5.2 Nested perfect Mendelshon designs / p41 (0045.jp2)
- 5.3 Nested directed BIBDs / p43 (0047.jp2)
- Abstract / p2 (0006.jp2)