Graph Theory (Japanese Edition)
2nd Edition
Published in 2000
402 pages
978-3-95516-443-0 (ISBN)
Description
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
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
More details
Persons
Content
1 - ...... [Seite 5]
2 - .. [Seite 15]
3 - .1..... [Seite 19]
3.1 - 1.1 ... [Seite 20]
3.2 - 1.2 ..... [Seite 24]
3.3 - 1.3 .... [Seite 26]
3.4 - 1.4 ... [Seite 30]
3.5 - 1.5 ... [Seite 33]
3.6 - 1.6 ..... [Seite 36]
3.7 - 1.7 ....... [Seite 38]
3.8 - 1.8 ...... [Seite 41]
3.9 - 1.9 ...... [Seite 43]
3.10 - 1.10 ... [Seite 49]
3.11 - .... [Seite 51]
3.12 - .... [Seite 52]
4 - .2...... [Seite 55]
4.1 - 2.1 ........... [Seite 55]
4.2 - 2.2 ............... [Seite 62]
4.3 - 2.3 ... [Seite 68]
4.4 - .... [Seite 70]
4.5 - .... [Seite 72]
5 - .3.... [Seite 73]
5.1 - 3.1 2-........... [Seite 74]
5.2 - 3.2 3-........ [Seite 76]
5.3 - 3.3 Menger ... [Seite 82]
5.4 - 3.4 Mader ... [Seite 90]
5.5 - 3.5 ...... [Seite 93]
5.6 - 3.6 ............ [Seite 97]
5.7 - .... [Seite 100]
5.8 - .... [Seite 102]
6 - .4....... [Seite 105]
6.1 - 4.1 .......... [Seite 106]
6.2 - 4.2 ..... [Seite 109]
6.3 - 4.3 .. [Seite 117]
6.4 - 4.4 ......:Kuratowski ... [Seite 122]
6.5 - 4.5 ........... [Seite 128]
6.6 - 4.6 ..... [Seite 131]
6.7 - .... [Seite 135]
6.8 - .... [Seite 137]
7 - .5... [Seite 139]
7.1 - 5.1 ............ [Seite 140]
7.2 - 5.2 .... [Seite 142]
7.3 - 5.3 .... [Seite 150]
7.4 - 5.4 ..... [Seite 153]
7.5 - 5.5 ..... [Seite 160]
7.6 - .... [Seite 169]
7.7 - .... [Seite 172]
8 - .6... [Seite 175]
8.1 - 6.1 ... [Seite 176]
8.2 - 6.2 ......... [Seite 177]
8.3 - 6.3 ........ [Seite 181]
8.4 - 6.4 ...k ....k-. [Seite 188]
8.5 - 6.5 ......... [Seite 191]
8.6 - 6.6 Tutte ..... [Seite 196]
8.7 - .... [Seite 201]
8.8 - .... [Seite 203]
9 - .7........... [Seite 205]
9.1 - 7.1 ..... [Seite 207]
9.2 - 7.2 Szemer´edi ...... [Seite 212]
9.3 - 7.3 ........ [Seite 221]
9.4 - .... [Seite 227]
9.5 - .... [Seite 228]
10 - .8........... [Seite 231]
10.1 - 8.1 ....... [Seite 232]
10.2 - 8.2 .... [Seite 243]
10.3 - 8.3 Hadwigers .. [Seite 246]
10.4 - .... [Seite 250]
10.5 - .... [Seite 251]
11 - .9....... [Seite 255]
11.1 - 9.1 ....... [Seite 256]
11.2 - 9.2 ..... [Seite 261]
11.3 - 9.3 ........ [Seite 265]
11.4 - 9.4 ........... [Seite 278]
11.5 - .... [Seite 280]
11.6 - .... [Seite 281]
12 - .10........ [Seite 285]
12.1 - 10.1 ....... [Seite 286]
12.2 - 10.2 ........... [Seite 289]
12.3 - 10.3 ................. [Seite 292]
12.4 - .... [Seite 302]
12.5 - .... [Seite 303]
13 - .11.....·... [Seite 305]
13.1 - 11.1 ....·...... [Seite 306]
13.2 - 11.2 ...... [Seite 312]
13.3 - 11.3 ................. [Seite 315]
13.4 - 11.4 .....2 ...... [Seite 320]
13.5 - .... [Seite 327]
13.6 - .... [Seite 328]
14 - .12.......... [Seite 331]
14.1 - 12.1 ..... [Seite 331]
14.2 - 12.2 ........·...... [Seite 333]
14.3 - 12.3 .... [Seite 335]
14.4 - 12.4 .......... [Seite 346]
14.5 - 12.5 ...·...... [Seite 361]
14.6 - .... [Seite 365]
14.7 - .... [Seite 369]
15 - ........ [Seite 373]
15.1 - .1 ..... [Seite 373]
15.2 - .2 ..... [Seite 375]
15.3 - .3 ..... [Seite 376]
15.4 - .4 ..... [Seite 377]
15.5 - .5 ..... [Seite 378]
15.6 - .6 ..... [Seite 381]
15.7 - .7 ..... [Seite 382]
15.8 - .8 ..... [Seite 383]
15.9 - .9 ..... [Seite 384]
15.10 - .10 ..... [Seite 385]
15.11 - .11 ..... [Seite 386]
15.12 - .12 ..... [Seite 387]
16 - .. [Seite 389]
2 - .. [Seite 15]
3 - .1..... [Seite 19]
3.1 - 1.1 ... [Seite 20]
3.2 - 1.2 ..... [Seite 24]
3.3 - 1.3 .... [Seite 26]
3.4 - 1.4 ... [Seite 30]
3.5 - 1.5 ... [Seite 33]
3.6 - 1.6 ..... [Seite 36]
3.7 - 1.7 ....... [Seite 38]
3.8 - 1.8 ...... [Seite 41]
3.9 - 1.9 ...... [Seite 43]
3.10 - 1.10 ... [Seite 49]
3.11 - .... [Seite 51]
3.12 - .... [Seite 52]
4 - .2...... [Seite 55]
4.1 - 2.1 ........... [Seite 55]
4.2 - 2.2 ............... [Seite 62]
4.3 - 2.3 ... [Seite 68]
4.4 - .... [Seite 70]
4.5 - .... [Seite 72]
5 - .3.... [Seite 73]
5.1 - 3.1 2-........... [Seite 74]
5.2 - 3.2 3-........ [Seite 76]
5.3 - 3.3 Menger ... [Seite 82]
5.4 - 3.4 Mader ... [Seite 90]
5.5 - 3.5 ...... [Seite 93]
5.6 - 3.6 ............ [Seite 97]
5.7 - .... [Seite 100]
5.8 - .... [Seite 102]
6 - .4....... [Seite 105]
6.1 - 4.1 .......... [Seite 106]
6.2 - 4.2 ..... [Seite 109]
6.3 - 4.3 .. [Seite 117]
6.4 - 4.4 ......:Kuratowski ... [Seite 122]
6.5 - 4.5 ........... [Seite 128]
6.6 - 4.6 ..... [Seite 131]
6.7 - .... [Seite 135]
6.8 - .... [Seite 137]
7 - .5... [Seite 139]
7.1 - 5.1 ............ [Seite 140]
7.2 - 5.2 .... [Seite 142]
7.3 - 5.3 .... [Seite 150]
7.4 - 5.4 ..... [Seite 153]
7.5 - 5.5 ..... [Seite 160]
7.6 - .... [Seite 169]
7.7 - .... [Seite 172]
8 - .6... [Seite 175]
8.1 - 6.1 ... [Seite 176]
8.2 - 6.2 ......... [Seite 177]
8.3 - 6.3 ........ [Seite 181]
8.4 - 6.4 ...k ....k-. [Seite 188]
8.5 - 6.5 ......... [Seite 191]
8.6 - 6.6 Tutte ..... [Seite 196]
8.7 - .... [Seite 201]
8.8 - .... [Seite 203]
9 - .7........... [Seite 205]
9.1 - 7.1 ..... [Seite 207]
9.2 - 7.2 Szemer´edi ...... [Seite 212]
9.3 - 7.3 ........ [Seite 221]
9.4 - .... [Seite 227]
9.5 - .... [Seite 228]
10 - .8........... [Seite 231]
10.1 - 8.1 ....... [Seite 232]
10.2 - 8.2 .... [Seite 243]
10.3 - 8.3 Hadwigers .. [Seite 246]
10.4 - .... [Seite 250]
10.5 - .... [Seite 251]
11 - .9....... [Seite 255]
11.1 - 9.1 ....... [Seite 256]
11.2 - 9.2 ..... [Seite 261]
11.3 - 9.3 ........ [Seite 265]
11.4 - 9.4 ........... [Seite 278]
11.5 - .... [Seite 280]
11.6 - .... [Seite 281]
12 - .10........ [Seite 285]
12.1 - 10.1 ....... [Seite 286]
12.2 - 10.2 ........... [Seite 289]
12.3 - 10.3 ................. [Seite 292]
12.4 - .... [Seite 302]
12.5 - .... [Seite 303]
13 - .11.....·... [Seite 305]
13.1 - 11.1 ....·...... [Seite 306]
13.2 - 11.2 ...... [Seite 312]
13.3 - 11.3 ................. [Seite 315]
13.4 - 11.4 .....2 ...... [Seite 320]
13.5 - .... [Seite 327]
13.6 - .... [Seite 328]
14 - .12.......... [Seite 331]
14.1 - 12.1 ..... [Seite 331]
14.2 - 12.2 ........·...... [Seite 333]
14.3 - 12.3 .... [Seite 335]
14.4 - 12.4 .......... [Seite 346]
14.5 - 12.5 ...·...... [Seite 361]
14.6 - .... [Seite 365]
14.7 - .... [Seite 369]
15 - ........ [Seite 373]
15.1 - .1 ..... [Seite 373]
15.2 - .2 ..... [Seite 375]
15.3 - .3 ..... [Seite 376]
15.4 - .4 ..... [Seite 377]
15.5 - .5 ..... [Seite 378]
15.6 - .6 ..... [Seite 381]
15.7 - .7 ..... [Seite 382]
15.8 - .8 ..... [Seite 383]
15.9 - .9 ..... [Seite 384]
15.10 - .10 ..... [Seite 385]
15.11 - .11 ..... [Seite 386]
15.12 - .12 ..... [Seite 387]
16 - .. [Seite 389]
