Exact coverings of 2-paths by Hamilton cycles ハミルトン閉路による2通路の完全被覆問題
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Bibliographic Information
- Title
-
Exact coverings of 2-paths by Hamilton cycles
- Other Title
-
ハミルトン閉路による2通路の完全被覆問題
- Author
-
小林, みどり, 1951-
- Author(Another name)
-
コバヤシ, ミドリ
- University
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慶應義塾大学
- Types of degree
-
理学博士
- Grant ID
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乙第2377号
- Degree year
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1991-07-03
Note and Description
博士論文
Table of Contents
- 論文目録 / (0001.jp2)
- Contents / p5 (0011.jp2)
- 1 Introduction / p1 (0013.jp2)
- 2 A Dudeney set in[数式]when n=[数式]+1 / p6 (0018.jp2)
- 2.1 Introduction / p6 (0018.jp2)
- 2.2 Preliminaries / p6 (0018.jp2)
- 2.3 Exchanging edges / p8 (0020.jp2)
- 2.4 Hamiltonicity of[数式] / p13 (0025.jp2)
- 2.5 Construction of a Dudeney set in[数式] / p15 (0027.jp2)
- 2.6 Determination of[数式]when n=pq+1 / p18 (0030.jp2)
- 2.7 Determination of[数式]when n=[数式]+1 / p21 (0033.jp2)
- 2.8 Determination of[数式]when n=[数式]+1 / p22 (0034.jp2)
- 3 A Dudeney set in[数式]when n is even / p27 (0039.jp2)
- 3.1 Introduction / p27 (0039.jp2)
- 3.2 Preliminaries / p27 (0039.jp2)
- 3.3 Definition of 1-factors in[数式] / p29 (0041.jp2)
- 3.4 Exchanging edges / p38 (0050.jp2)
- 3.5 Recursive construction of a Dudeney set / p42 (0054.jp2)
- 4 Perfect 1-factorizations of the complete graph / p62 (0074.jp2)
- 4.1 Introduction / p62 (0074.jp2)
- 4.2 Semi-regular 1-factorizations / p63 (0075.jp2)
- 4.3 Perfect 1-factorizations / p67 (0079.jp2)
- 5 Exact coverings of 2-paths by cycles / p68 (0080.jp2)
- 5.1 Introduction / p68 (0080.jp2)
- 5.2 A C(2m,4,1)design / p70 (0082.jp2)
- 5.3 A resolvable C(4k,4,1)design / p74 (0086.jp2)
- 5.4 A near-resolvable C(4k+2,4,1)design / p75 (0087.jp2)
- Bibliography / p77 (0089.jp2)