Some Ramsey-type problems in combinatorics 組合わせ理論におけるラムゼー型の問題について
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Bibliographic Information
- Title
-
Some Ramsey-type problems in combinatorics
- Other Title
-
組合わせ理論におけるラムゼー型の問題について
- Author
-
中上川, 友樹
- Author(Another name)
-
ナカカミガワ, トモキ
- University
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慶応義塾大学
- Types of degree
-
博士(理学)
- Grant ID
-
甲第1682号
- Degree year
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1999-03-23
Note and Description
博士論文
Table of Contents
- 論文目録 / (0001.jp2)
- Contents / p2 (0006.jp2)
- 1 What is a Ramsey-type problem? / p1 (0007.jp2)
- 1.1 Classical results / p2 (0008.jp2)
- 1.2 Problems studied in this thesis / p5 (0009.jp2)
- 1.3 Definitions and notation / p6 (0010.jp2)
- 2 The twistnumber of complete bipartite graphs / p9 (0011.jp2)
- 2.1 Introduction / p9 (0011.jp2)
- 2.2 Main Results / p13 (0013.jp2)
- 2.3 Proof of Theorem 2.4 / p14 (0014.jp2)
- 2.4 Proof of Theorem 2.7 / p16 (0015.jp2)
- 3 Equitable Partitions of a colored finite set / p20 (0017.jp2)
- 3.1 Introduction / p20 (0017.jp2)
- 3.2 Main results / p23 (0018.jp2)
- 3.3 Basic lemmas for κ-partitionability / p23 (0018.jp2)
- 3.4 Lower bounds of ƒ(κ) / p24 (0019.jp2)
- 3.5 Upper bounds of ƒ(κ) / p26 (0020.jp2)
- 4 Vertex-disjoint monochromatic graphs in edge-colored complete graphs / p37 (0025.jp2)
- 4.1 Introduction / p37 (0025.jp2)
- 4.2 Main Results / p39 (0026.jp2)
- 4.3 Proof of Theorem 4.1 / p41 (0027.jp2)
- 4.4 Proof of Proposition 4.6 / p42 (0028.jp2)
- 4.5 Proof of Theorem 4.7 / p47 (0030.jp2)
- 4.6 Many colors / p60 (0037.jp2)
- 5 Vertex-disjoint monochromatic induced graphs in edge-colored graphs / p63 (0038.jp2)
- 5.1 Introduction / p63 (0038.jp2)
- 5.2 Results for general graphs / p64 (0039.jp2)
- 5.3 Results for bipartite graphs / p67 (0040.jp2)
- 5.4 Concluding Remarks / p76 (0045.jp2)
- 6 Packing monochromatic stars in edge-colored graphs / p78 (0046.jp2)
- 6.1 Introduction / p78 (0046.jp2)
- 6.2 Basic facts / p79 (0046.jp2)
- 6.3 Monochromatic stars in a forest / p81 (0047.jp2)
- 6.4 Monochromatic stars in a planar graph / p83 (0048.jp2)
- 6.5 Monochromatic stars in a graph without small cycles / p91 (0052.jp2)
- Glossary of Symbols / p95 (0054.jp2)
- Index / p97 (0055.jp2)
- Bibliography / p99 (0056.jp2)