Graph Theory (Japanese Edition) (eBook)

Reinhard Diestel (Autor)

eBook Download: PDF

2000 | 2. Auflage
402 Seiten
Springer-Diestel (Verlag)
978-3-95516-443-0 (ISBN)

Infos

JAPANESE EDITION

This standard textbook of modern graph theory, now in its fourth edition, combines the authority of a classic with the engaging freshness of style that is the hallmark of active mathematics. It covers the core material of the subject with concise yet reliably complete proofs, while offering glimpses of more advanced methods in each field by one or two deeper results, again with proofs given in full detail.
The book can be used as a reliable text for an introductory course, as a graduate text, and for self-study.

“This outstanding book cannot be substituted with any other book on the present textbook market. It has every chance of becoming the standard textbook for graph theory.” Acta Scientiarum Mathematicarum

"Deep, clear, wonderful. This is a serious book about the heart of graph theory. It has depth and integrity." (Persi Diaconis and Ron Graham in SIAM Review)

“The book has received a very enthusiastic reception, which it amply deserves. A masterly elucidation of modern graph theory.” Bulletin of the Institute of Combinatorics and its Applications

“Succeeds dramatically… a hell of a good book.” MAA Reviews

“A highlight of the book is what is by far the best account in print of the Seymour- Robertson theory of graph minors.” Mathematika

“…like listening to someone explain mathematics.” Bulletin of the AMS

Inhalt

...... 5
.. 15
.1..... 19
1.1 ... 20
1.2 ..... 24
1.3 .... 26
1.4 ... 30
1.5 ... 33
1.6 ..... 36
1.7 ....... 38
1.8 ...... 41
1.9 ...... 43
1.10 ... 49
.... 51
.... 52
.2...... 55
2.1 ........... 55
2.2 ............... 62
2.3 ... 68
.... 70
.... 72
.3.... 73
3.1 2-........... 74
3.2 3-........ 76
3.3 Menger ... 82
3.4 Mader ... 90
3.5 ...... 93
3.6 ............ 97
.... 100
.... 102
.4....... 105
4.1 .......... 106
4.2 ..... 109
4.3 .. 117
4.4 ......:Kuratowski ... 122
4.5 ........... 128
4.6 ..... 131
.... 135
.... 137
.5... 139
5.1 ............ 140
5.2 .... 142
5.3 .... 150
5.4 ..... 153
5.5 ..... 160
.... 169
.... 172
.6... 175
6.1 ... 176
6.2 ......... 177
6.3 ........ 181
6.4 ...k ....k-. 188
6.5 ......... 191
6.6 Tutte ..... 196
.... 201
.... 203
.7........... 205
7.1 ..... 207
7.2 Szemer´edi ...... 212
7.3 ........ 221
.... 227
.... 228
.8........... 231
8.1 ....... 232
8.2 .... 243
8.3 Hadwigers .. 246
.... 250
.... 251
.9....... 255
9.1 ....... 256
9.2 ..... 261
9.3 ........ 265
9.4 ........... 278
.... 280
.... 281
.10........ 285
10.1 ....... 286
10.2 ........... 289
10.3 ................. 292
.... 302
.... 303
.11.....·... 305
11.1 ....·...... 306
11.2 ...... 312
11.3 ................. 315
11.4 .....2 ...... 320
.... 327
.... 328
.12.......... 331
12.1 ..... 331
12.2 ........·...... 333
12.3 .... 335
12.4 .......... 346
12.5 ...·...... 361
.... 365
.... 369
........ 373
.1 ..... 373
.2 ..... 375
.3 ..... 376
.4 ..... 377
.5 ..... 378
.6 ..... 381
.7 ..... 382
.8 ..... 383
.9 ..... 384
.10 ..... 385
.11 ..... 386
.12 ..... 387
.. 389

Produkt-Details

• Übersetzer: Seiya Negami & Katsuhiro Ota
• Sprache: japanisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Technik
• ISBN-10: 3-95516-443-8 / 3955164438
• ISBN-13: 978-3-95516-443-0 / 9783955164430