Graphs of groups on surfaces: interactions and models
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
Elsevier
2001
|
| Ausgabe: | 1st ed |
| Schriftenreihe: | North-Holland mathematics studies
188 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 Includes bibliographical references (pages 351-352) and indexes |
| Beschreibung: | 1 Online-Ressource (xiv, 363 pages) |
| ISBN: | 9780444500755 0444500758 0585474052 9780585474052 0080507581 9780080507583 |
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| 490 | 0 | |a North-Holland mathematics studies |v 188 | |
| 500 | |a 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 | ||
| 500 | |a Includes bibliographical references (pages 351-352) and indexes | ||
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Datensatz im Suchindex
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| author | White, Arthur T. |
| author_facet | White, Arthur T. |
| author_role | aut |
| author_sort | White, Arthur T. |
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| building | Verbundindex |
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| dewey-full | 511/.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511/.5 |
| dewey-search | 511/.5 |
| dewey-sort | 3511 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1st ed |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:18:16Z |
| institution | BVB |
| isbn | 9780444500755 0444500758 0585474052 9780585474052 0080507581 9780080507583 |
| language | English |
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| series2 | North-Holland mathematics studies |
| spelling | White, Arthur T. Verfasser aut Graphs of groups on surfaces interactions and models Arthur T. White 1st ed Amsterdam Elsevier 2001 1 Online-Ressource (xiv, 363 pages) txt rdacontent c rdamedia cr rdacarrier North-Holland mathematics studies 188 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 Includes bibliographical references (pages 351-352) and indexes Graphes topologiques, Théorie des MATHEMATICS / Graphic Methods bisacsh Topological graph theory fast Topological graph theory http://www.sciencedirect.com/science/book/9780444500755 Verlag Volltext |
| spellingShingle | White, Arthur T. Graphs of groups on surfaces interactions and models Graphes topologiques, Théorie des MATHEMATICS / Graphic Methods bisacsh Topological graph theory fast Topological graph theory |
| title | Graphs of groups on surfaces interactions and models |
| title_auth | Graphs of groups on surfaces interactions and models |
| title_exact_search | Graphs of groups on surfaces interactions and models |
| title_full | Graphs of groups on surfaces interactions and models Arthur T. White |
| title_fullStr | Graphs of groups on surfaces interactions and models Arthur T. White |
| title_full_unstemmed | Graphs of groups on surfaces interactions and models Arthur T. White |
| title_short | Graphs of groups on surfaces |
| title_sort | graphs of groups on surfaces interactions and models |
| title_sub | interactions and models |
| topic | Graphes topologiques, Théorie des MATHEMATICS / Graphic Methods bisacsh Topological graph theory fast Topological graph theory |
| topic_facet | Graphes topologiques, Théorie des MATHEMATICS / Graphic Methods Topological graph theory |
| url | http://www.sciencedirect.com/science/book/9780444500755 |
| work_keys_str_mv | AT whitearthurt graphsofgroupsonsurfacesinteractionsandmodels |