Graphs of groups on surfaces (Record no. 21861)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04848cam a2200661Ia 4500 |
| 001 - CONTROL NUMBER | |
| control field | ocn162577994 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20141103172226.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cn||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 070806s2001 ne a ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | |
| Language of cataloging | eng |
| Description conventions | pn |
| Transcribing agency | OPELS |
| Modifying agency | OPELS |
| -- | OCLCQ |
| -- | N$T |
| -- | YDXCP |
| -- | MERUC |
| -- | E7B |
| -- | IDEBK |
| -- | TULIB |
| -- | OCLCO |
| -- | OCLCQ |
| -- | OPELS |
| -- | OCLCF |
| -- | DEBBG |
| -- | OCLCQ |
| 019 ## - | |
| -- | 53254363 |
| -- | 441797622 |
| -- | 648325118 |
| -- | 779919761 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780444500755 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0444500758 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0585474052 (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780585474052 (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0080507581 (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780080507583 (electronic bk.) |
| 029 1# - (OCLC) | |
| OCLC library identifier | AU@ |
| System control number | 000048129989 |
| 029 1# - (OCLC) | |
| OCLC library identifier | DEBBG |
| System control number | BV036962310 |
| 029 1# - (OCLC) | |
| OCLC library identifier | NZ1 |
| System control number | 12435092 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)162577994 |
| Canceled/invalid control number | (OCoLC)53254363 |
| -- | (OCoLC)441797622 |
| -- | (OCoLC)648325118 |
| -- | (OCoLC)779919761 |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 121003:128438 |
| Source of stock number/acquisition | Elsevier Science & Technology |
| Note | http://www.sciencedirect.com |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA166.195 |
| Item number | .W48 2001eb |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | QA |
| Source | lcco |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 013000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 511/.5 |
| Edition number | 22 |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | TEFA |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | White, Arthur T. |
| 245 10 - TITLE STATEMENT | |
| Title | Graphs of groups on surfaces |
| Medium | [electronic resource] : |
| Remainder of title | interactions and models / |
| Statement of responsibility, etc. | Arthur T. White. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | Amsterdam ; |
| -- | New York : |
| Name of publisher, distributor, etc. | Elsevier, |
| Date of publication, distribution, etc. | 2001. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xiv, 363 pages) : |
| Other physical details | illustrations. |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | North-Holland mathematics studies, |
| International Standard Serial Number | 0304-0208 ; |
| Volume/sequential designation | 188 |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | The book, suitable as both an introductory reference and as a text book in the rapidly growing field of topological graph theory, models both maps (as in map-coloring problems) and groups by means of graph imbeddings on sufaces. Automorphism groups of both graphs and maps are studied. In addition connections are made to other areas of mathematics, such as hypergraphs, block designs, finite geometries, and finite fields. There are chapters on the emerging subfields of enumerative topological graph theory and random topological graph theory, as well as a chapter on the composition of English church-bell music. The latter is facilitated by imbedding the right graph of the right group on an appropriate surface, with suitable symmetries. Throughout the emphasis is on Cayley maps: imbeddings of Cayley graphs for finite groups as (possibly branched) covering projections of surface imbeddings of loop graphs with one vertex. This is not as restrictive as it might sound; many developments in topological graph theory involve such imbeddings. The approach aims to make all this interconnected material readily accessible to a beginning graduate (or an advanced undergraduate) student, while at the same time providing the research mathematician with a useful reference book in topological graph theory. The focus will be on beautiful connections, both elementary and deep, within mathematics that can best be described by the intuitively pleasing device of imbedding graphs of groups on surfaces. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references (pages 351-352) and indexes. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Historical Setting -- A Brief Introduction to Graph Theory -- The Automorphism Group of a Graph -- The Cayley Color Graph of a Group Presentation -- An Introduction to Surface Topology -- Imbedding Problems in Graph Theory -- The Genus of a Group -- Map-Coloring Problems --Quotient Graphs and Quotient Manifolds: Current Graphs and the Complete Graph Theorem -- Voltage Graphs -- Nonorientable Graph Imbeddings -- Block Designs -- Hypergraph Imbeddings -- Finite Fields on Surfaces -- Finite Geometries on Surfaces -- Map Automorphisms Groups -- Enumerating Graph Imbeddings -- Random Topological Graph Theory -- Change Ringing. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on print version record. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Topological graph theory. |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Graphes topologiques, Th�eorie des. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS |
| General subdivision | Graphic Methods. |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Topological graph theory. |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst01152683 |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | White, Arthur T. |
| Title | Graphs of groups on surfaces. |
| Edition | 1st ed. |
| Place, publisher, and date of publication | Amsterdam ; New York : Elsevier, 2001 |
| International Standard Book Number | 0444500758 |
| -- | 9780444500755 |
| Record control number | (DLC) 2001030789 |
| -- | (OCoLC)46617805 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | North-Holland mathematics studies ; |
| Volume number/sequential designation | 188. |
| International Standard Serial Number | 0304-0208 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | ScienceDirect |
| Uniform Resource Identifier | <a href="http://www.sciencedirect.com/science/book/9780444500755">http://www.sciencedirect.com/science/book/9780444500755</a> |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | ScienceDirect |
| Uniform Resource Identifier | <a href="http://www.sciencedirect.com/science/publication?issn=03040208&volume=188">http://www.sciencedirect.com/science/publication?issn=03040208&volume=188</a> |
| 938 ## - | |
| -- | ebrary |
| -- | EBRY |
| -- | ebr10190256 |
| 938 ## - | |
| -- | EBSCOhost |
| -- | EBSC |
| -- | 91156 |
| 938 ## - | |
| -- | Ingram Digital eBook Collection |
| -- | IDEB |
| -- | 103867 |
| 938 ## - | |
| -- | YBP Library Services |
| -- | YANK |
| -- | 2335360 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | E(electronic)-Books |
| 994 ## - | |
| -- | C0 |
| -- | TEF |
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