Verfügbarkeit: Algebraic elements of graphs

Algebraic elements of graphs:

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Bibliographische Detailangaben
1. Verfasser:	Liu, Yanpei 1939- (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Berlin De Gruyter [2017]
Schlagworte:	Graphentheorie Algebraische Kombinatorik
Online-Zugang:	http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110480733&searchTitles=true Inhaltsverzeichnis
Beschreibung:	XIV, 409 Seiten Illustrationen, Diagramme
ISBN:	9783110480733

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MARC


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Datensatz im Suchindex

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adam_text	CONTENTS 1 ABSTRACT GRAPHS * 1 1.1 GRAPHS AND NETWORKS * 1 1.2 SURFACES * 7 1.3 EMBEDDING* 12 1.4 ABSTRACT REPRESENTATION * 16 1.5 NOTES * 22 2 ABSTRACT MAPS * 26 2.1 GROUND SETS * 26 2.2 BASIC PERMUTATIONS * 27 2.3 CONJUGATE AXIOM * 30 2.4 TRANSITIVE AXIOM * 33 2.5 INCLUDED ANGLES * 35 2.6 NOTES ----- 38 3 DUALITY * 43 3.1 DUAL MAPS * 43 3.2 DELETION OF AN EDGE * 49 3.3 ADDITION OF AN EDGE * 59 3.4 BASIC TRANSFORMATION * 67 3.5 NOTES ----- 68 4 ORIENTABILITY * 70 4.1 ORIENTATION* 70 4.2 BASIC EQUIVALENCE * 73 4.3 EULER CHARACTERISTIC * 78 4.4 PATTERN EXAMPLES * 81 4.5 NOTES ----- 83 5 ORIENTABLE MAPS * 85 5.1 BUTTERFLIES * 85 5.2 SIMPLIFIED BUTTERFLIES * 86 5.3 REDUCED RULES * 89 5.4 ORIENTABLE PRINCIPLES * 94 5.5 ORIENTABLE GENUS* 96 5.6 NOTES ----- 97 6 NONORIENTABLE MAPS * 100 6.1 BARFLIES * 100 6.2 SIMPLIFIED BARFLIES * 103 6.3 NONORIENTABLE RULES * 105 6.4 NONORIENTABLE PRINCIPLES * 109 6.5 NONORIENTABLE GENUS * 110 6.6 NOTES * 111 7 ISOMORPHISMS OF MAPS * 113 7.1 COMMUTATIVITY * 113 7.2 ISOMORPHISM THEOREM * 117 7.3 RECOGNITION * 120 7.4 JUSTIFICATION ----- 123 7.5 PATTERN EXAMPLES * 125 7.6 NOTES * 130 8 ASYMMETRIZATION* 132 8.1 AUTOMORPHISMS ----- 132 8.2 UPPER BOUNDS OF GROUP ORDER* 135 8.3 DETERMINATION OF THE GROUP * 137 8.4 POOLINGS ----- 141 8.5 NOTES ----- 145 9 ASYMMETRIZED PETAL BUNDLES * 147 9.1 ORIENTABLE PETAL BUNDLES * 147 9.2 PLANAR PEDAL BUNDLES * 151 9.3 NONORIENTABLE PEDAL BUNDLES * 154 9.4 THE NUMBER OF PEDAL BUNDLES * 159 9.5 NOTES * 161 10 ASYMMETRIZED MAPS * 165 10.1 ORIENTABLE EQUATION * 165 10.2 PLANAR ROOTED MAPS * 171 10.3 NONORIENTABLE EQUATION * 177 10.4 GROSS EQUATION * 181 10.5 THE NUMBER OF ROOTED MAPS * 184 10.6 NOTES * 186 11 MAPS WITHIN SYMMETRY * 188 11.1 SYMMETRIC RELATION * 188 11.2 AN APPLICATION * 189 11.3 SYMMETRIC PRINCIPLE * 191 11.4 GENERAL EXAMPLES * 192 11.5 NOTES * 195 12 GENUS POLYNOMIALS * 197 12.1 ASSOCIATE SURFACES * 197 12.2 LAYER DIVISION OF A SURFACE * 199 12.3 HANDLE POLYNOMIALS * 202 12.4 CROSSCAP POLYNOMIALS * 203 12.5 NOTES ----- 204 CONTENTS * X III 13 CENSUS WITH PARTITIONS * 207 13.1 PLANTED TREES * 207 13.2 HAMILTONIAN CUBIC MAP * 214 13.3 HALIN MAPS * 215 13.4 BIBOUNDARY INNER ROOTED MAPS * 218 13.5 GENERAL MAPS * 221 13.6 PAN-FLOWERS * 223 13.7 NOTES------227 14 EQUATIONS WITH PARTITIONS * 230 14.1 THE MESON FUNCTIONAL* 230 14.2 GENERAL MAPS ON THE SPHERE * 234 14.3 NONSEPARABLE MAPS ON THE SPHERE * 237 14.4 MAPS WITHOUT CUT-EDGE ON SURFACES * 240 14.5 EUTERIAN MAPS ON THE SPHERE * 244 14.6 EULERIAN MAPS ON THE SURFACES * 247 14.7 NOTES------250 15 UPPER MAPS OF A GRAPH * 253 15.1 SEMI-AUTOMORPHISMS ON A GRAPH * 253 15.2 AUTOMORPHISMS ON A GRAPH * 256 15.3 RELATIONSHIPS * 257 15.4 UPPER MAPS WITH SYMMETRY * 259 15.5 VIA ASYMMETRIZED UPPER MAPS * 261 15.6 NOTES ----- 264 16 GENERA OF A GRAPH * 267 16.1 RECURSION THEOREM * 267 16.2 MAXIMUM GENUS * 268 16.3 MINIMUM GENUS * 271 16.4 AVERAGE GENUS * 274 16.5 THICKNESS * 280 16.6 INTERLACEDNESS * 282 16.7 NOTES ----- 284 17 ISOGEMIAL GRAPHS * 286 17.1 BASIC CONCEPTS * 286 17.2 TWO OPERATIONS ------ 286 17.3 ISOGEMIAL THEOREM * 288 17.4 NON-ISOMORPHIC ISOGEMIAL GRAPHS * 290 17.5 NOTES * 294 18 SURFACE EMBEDDABILITY * 297 18.1 VIA TREE-TRAVELS * 297 18.2 VIA HOMOLOGY ----- 306 18.3 VIA JOINT TREES * 310 18.4 VIA CONFIGURATIONS * 316 18.5 NOTES ----- 322 APPENDIX 1: CONCEPTS OF POLYHEDRA, SURFACES, EMBEDDINGS AND MAPS * 325 A L.L POLYHEDRA * 325 A1.2 SURFACES ----- 327 A1.3 EMBEDDINGS * 331 A1.4 MAPS ----- 333 APPENDIX 2: TABLE OF GENUS POLYNOMIALS FOR EMBEDDINGS AND MAPS OF SMALL SIZE * 336 A2.1 TRICONNECTED CUBIC GRAPHS * 336 A2.2 BOUQUETS ----- 344 A2.3 WHEELS* 346 A2.4 LINK BUNDLES * 347 A2.5 COMPLETE BIPARTITE GRAPHS * 349 APPENDIX 3: ATLAS OF ROOTED AND UNROOTED MAPS FOR SMALL GRAPHS * 351 A3.1 BOUQUETS BM OF SIZE 4 M 1 * 351 A3.2 LINK BUNDLES LM, 6 M 3 ----- 356 A3.3 COMPLETE BIPARTITE GRAPHS KM N, 4 M, N 3 * 367 A3.4 WHEELS WN,5 N 4 ----- 372 A3.5 TRICONNECTED CUBIC GRAPHS OF SIZE IN [6,15] * 375 BIBLIOGRAPHY* 395 AUTHOR INDEX* 403 SUBJECT INDEX* 405
any_adam_object	1
author	Liu, Yanpei 1939-
author_GND	(DE-588)1132884713
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dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	510 - Mathematics
dewey-raw	510
dewey-search	510
dewey-sort	3510
dewey-tens	510 - Mathematics
discipline	Mathematik
format	Book
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spelling	Liu, Yanpei 1939- Verfasser (DE-588)1132884713 aut Algebraic elements of graphs Yanpei Liu Berlin De Gruyter [2017] XIV, 409 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Graphentheorie (DE-588)4113782-6 gnd rswk-swf Algebraische Kombinatorik (DE-588)4596755-6 gnd rswk-swf Graphentheorie (DE-588)4113782-6 s Algebraische Kombinatorik (DE-588)4596755-6 s DE-604 Walter de Gruyter GmbH & Co. KG (DE-588)10095502-2 pbl Erscheint auch als Online-Ausgabe, PDF 978-3-11-048184-6 Erscheint auch als Online-Ausgabe, EPUB 978-3-11-048075-7 X:MVB http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110480733&searchTitles=true DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029871566&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Liu, Yanpei 1939- Algebraic elements of graphs Graphentheorie (DE-588)4113782-6 gnd Algebraische Kombinatorik (DE-588)4596755-6 gnd
subject_GND	(DE-588)4113782-6 (DE-588)4596755-6
title	Algebraic elements of graphs
title_auth	Algebraic elements of graphs
title_exact_search	Algebraic elements of graphs
title_full	Algebraic elements of graphs Yanpei Liu
title_fullStr	Algebraic elements of graphs Yanpei Liu
title_full_unstemmed	Algebraic elements of graphs Yanpei Liu
title_short	Algebraic elements of graphs
title_sort	algebraic elements of graphs
topic	Graphentheorie (DE-588)4113782-6 gnd Algebraische Kombinatorik (DE-588)4596755-6 gnd
topic_facet	Graphentheorie Algebraische Kombinatorik
url	http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110480733&searchTitles=true http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029871566&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT liuyanpei algebraicelementsofgraphs AT walterdegruytergmbhcokg algebraicelementsofgraphs

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