Enumerative theory of maps:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Beijing [u.a.]
Science Press [u.a.]
1999
|
| Schriftenreihe: | Mathematics and its applications
468 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 411 S. |
| ISBN: | 0792355997 7030075978 1880132532 |
Internformat
MARC
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| 245 | 1 | 0 | |a Enumerative theory of maps |c by Liu Yanpei |
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Datensatz im Suchindex
| _version_ | 1804128476237660160 |
|---|---|
| adam_text | Contents
Preface v
Chapter 1 Preliminaries 1
§1.1 Maps 1
§1.2 Polynomials on maps 9
§1.3 Enufunctions 20
§1.4 Polysum functions 24
§1.5 The Lagrangian inversion 29
§1.6 The shadow functional 38
§1.7 Asymptotic estimation 41
§1.8 Notes 45
Chapter 2 Outerplanar Maps 47
§2.1 Plane trees 47
§2.2 Wintersweets 55
§2.3 Unicyclic maps 64
§2.4 General outerplanar maps 71
§2.5 Notes 79
Chapter 3 Triangulations 81
§3.1 Outerplanar triangulations 81
§3.2 Planar triangulations 86
§3.3 Triangulations on the disc 94
§3.4 Triangulations on the projective plane 103
§3.5 Triangulations on the torus 110
§3.6 Notes 115
Chapter 4 Cubic Maps 117
§4.1 Planar cubic maps 117
X Contents
§4.2 Bipartite cubic maps 123
§4.3 Cubic Hamiltonian maps 130
§4.4 Cubic maps on surfaces 134
§4.5 Notes 140
Chapter 5 Eulerian Maps 142
§5.1 Planar Eulerian maps 142
§5.2 Tutte formula 148
§5.3 Planar Eulerian triangulations 153
§5.4 Regular Eulerian maps 159
§5.5 Notes 166
Chapter 6 Nonseparable Maps 168
§6.1 Outerplanar nonseparable maps 168
§6.2 Eulerian nonseparable maps 176
§6.3 Planar nonseparable maps 184
§6.4 Nonseparable maps on the surfaces 191
§6.5 Notes 197
Chapter 7 Simple Maps 199
§7.1 Loopless maps 199
§7.2 Loopless Eulerian maps 208
§7.3 General simple maps 219
§7.4 Simple bipartite maps 227
§7.5 Notes 234
Chapter 8 General Maps 236
§8.1 General planar maps 236
§8.2 Planar c nets 242
§8.3 Convex polyhedra 250
§8.4 Quadrangulations via c nets 257
§8.5 General maps on surfaces 265
§8.6 Notes .272
Contents xi
Chapter 9 Chrosum Equations 274
§9.1 Tree equations 274
§9.2 Outerplanar equations 279
§9.3 General equations 287
§9.4 Triangulation equations 293
§9.5 Well definedness 298
§9.6 Notes 304
Chapter 10 Polysum Equations 306
§10.1 Polysum for bitrees 306
§10.2 Outerplanar polysums 311
§10.3 General polysums 315
§10.4 Nonseparable polysums 321
§10.5 Notes 324
Chapter 11 Chromatic Solutions 326
§11.1 General solutions 326
§11.2 Cubic triangles 333
§11.3 Invariants 342
§11.4 Four color solutions 351
§11.5 Notes 358
Chapter 12 Stochastic Behaviors 359
§12.1 Asymptotics for outerplanar maps 359
§12.2 The average of tree rooted maps 365
§12.3 Hamiltonian circuits per map 369
§12.4 The asymmetry of maps 374
§12.5 Asymptotics via equations 385
§12.6 Notes 390
Bibliography 392
Index 407
|
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| id | DE-604.BV013663194 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:49:51Z |
| institution | BVB |
| isbn | 0792355997 7030075978 1880132532 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009336872 |
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| owner_facet | DE-703 |
| physical | XI, 411 S. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Science Press [u.a.] |
| record_format | marc |
| series | Mathematics and its applications |
| series2 | Mathematics and its applications |
| spelling | Liu, Yanpei Verfasser aut Enumerative theory of maps by Liu Yanpei Beijing [u.a.] Science Press [u.a.] 1999 XI, 411 S. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications 468 Abbildung <Mathematik> - Abzählende Kombinatorik Combinatorial enumeration problems Mappings Mathematics Abzählen (DE-588)4508960-7 gnd rswk-swf Abbildung Mathematik (DE-588)4000044-8 gnd rswk-swf Abzählen (DE-588)4508960-7 s Abbildung Mathematik (DE-588)4000044-8 s DE-604 Mathematics and its applications 468 (DE-604)BV008163334 468 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009336872&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Liu, Yanpei Enumerative theory of maps Mathematics and its applications Abbildung <Mathematik> - Abzählende Kombinatorik Combinatorial enumeration problems Mappings Mathematics Abzählen (DE-588)4508960-7 gnd Abbildung Mathematik (DE-588)4000044-8 gnd |
| subject_GND | (DE-588)4508960-7 (DE-588)4000044-8 |
| title | Enumerative theory of maps |
| title_auth | Enumerative theory of maps |
| title_exact_search | Enumerative theory of maps |
| title_full | Enumerative theory of maps by Liu Yanpei |
| title_fullStr | Enumerative theory of maps by Liu Yanpei |
| title_full_unstemmed | Enumerative theory of maps by Liu Yanpei |
| title_short | Enumerative theory of maps |
| title_sort | enumerative theory of maps |
| topic | Abbildung <Mathematik> - Abzählende Kombinatorik Combinatorial enumeration problems Mappings Mathematics Abzählen (DE-588)4508960-7 gnd Abbildung Mathematik (DE-588)4000044-8 gnd |
| topic_facet | Abbildung <Mathematik> - Abzählende Kombinatorik Combinatorial enumeration problems Mappings Mathematics Abzählen Abbildung Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009336872&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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