图书介绍
地图的色和理论【2025|PDF|Epub|mobi|kindle电子书版本百度云盘下载】
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- 李赵祥著 著
- 出版社: 北京:中央民族大学出版社
- ISBN:9787811088410
- 出版时间:2010
- 标注页数:212页
- 文件大小:4MB
- 文件页数:224页
- 主题词:地图-色彩学
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图书目录
Chapter 1 General Maps1
1.1 Chromatic Sums of General Maps on the Sphere and the Projective Plane1
1.1.1 Introduction1
1.1.2 Maps on the Sphere2
1.1.3 Maps on the Projective Plane5
1.1.4 The Case:λ=∞;λ=29
1.2 Chromatic and Dichromatic Sums of General Maps on the Plane18
1.2.1 Introduction18
1.2.2 Chromatic and Dichromatic Sum Equations19
1.2.3 The Case:λ=∞;λ=223
1.2.4 Uniqueness of the Solution25
1.3 Chromatic Sums of General Simple Maps on the Plane29
1.3.1 Introduction29
1.3.2 Chromatic Sum Function Equations30
1.3.3 Uniqueness of the Solution36
1.3.4 The Case:λ=∞;λ=240
1.4 Enumeration of Loopless Maps on the Projective Plane46
1.4.1 Introduction46
1.4.2 Maps on the Sphere47
1.4.3 Maps on the Projective Plane49
1.5 Notes56
Chapter 2 Nonseparable Maps59
2.1 Chromatic Sums of Nonseparable Maps on the Sphere and Projective Plane59
2.1.1 Introduction59
2.1.2 Maps on the Sphere61
2.1.3 Maps on the Projective Plane63
2.1.4 The Case:λ=∞;λ=266
2.2 Chromatic Sums of Nonseparable Simple Maps on the Plane75
2.2.1 Introduction75
2.2.2 Chromatic Sum Function Equations77
2.2.3 Uniqueness of the Solution83
2.2.4 The case:λ=∞;λ=286
2.3 The Number of Nonseparable Map on the Projective Plane89
2.3.1 Introduction89
2.3.2 Maps on the Sphere90
2.3.3 Maps on the Projective Plane92
2.4 Notes99
Chapter 3 Singular Maps100
3.1 Chromatic Sums of Singular Maps on Some Surfaces100
3.1.1 Introduction100
3.1.2 Chromatic Sum for Maps on N1102
3.1.3 Chromatic Sum for Maps on S1104
3.1.4 Chromatic Sum for Maps on N2108
3.1.5 The case:λ=∞113
3.2 Singular Maps on the Klein bottle116
3.2.1 Introduction116
3.2.2 Enumerating Function with Two Variables116
3.2.3 Vertex Partition Formula122
3.3 Bisingular Maps on the Sphere124
3.4 Bisingular Maps on the Torus129
3.4.1 Introduction129
3.4.2 Main Results130
3.5 Bisingular Maps on the Klein Bottle137
3.5.1 Introduction137
3.5.2 Main Results137
3.6 Notes148
Chapter 4 Triangular Maps150
4.1 Chromatic Sums of Rooted Triangulations on the Projective Plane150
4.1.1 Introduction150
4.1.2 Main Result152
4.2 Dual Loopless Nonseparable Near-Triangulations on the Projective Plane166
4.2.1 Introduction166
4.2.2 Maps on the Sphere167
4.2.3 Maps on the Projective Plane168
4.3 Notes175
Chapter 5 2-edge-connected Maps177
5.1 Chromatic Sums of 2-edge-connected Maps on the Plane177
5.1.1 Introduction177
5.1.2 Chromatic Sum Equations179
5.1.3 The case:λ=∞182
5.1.4 The case:λ=2187
5.2 Chromatic Sums of 2-edge-connected Maps on the Projective Plane192
5.2.1 Introduction192
5.2.2 Chromatic Sum Equations194
5.2.3 The case:λ=∞;λ=2200
5.3 Notes203
Bibliography204
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