Topics in topological graph theory:
The use of topological ideas to explore various aspects of graph theory, and vice versa, is a fruitful area of research. There are links with other areas of mathematics, such as design theory and geometry, and increasingly with such areas as computer networks where symmetry is an important feature....
Gespeichert in:
| Weitere Verfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2009
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 128 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | The use of topological ideas to explore various aspects of graph theory, and vice versa, is a fruitful area of research. There are links with other areas of mathematics, such as design theory and geometry, and increasingly with such areas as computer networks where symmetry is an important feature. Other books cover portions of the material here, but there are no other books with such a wide scope. This book contains fifteen expository chapters written by acknowledged international experts in the field. Their well-written contributions have been carefully edited to enhance readability and to standardize the chapter structure, terminology and notation throughout the book. To help the reader, there is an extensive introductory chapter that covers the basic background material in graph theory and the topology of surfaces. Each chapter concludes with an extensive list of references |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xviii, 347 pages) |
| ISBN: | 9781139087223 |
| DOI: | 10.1017/CBO9781139087223 |
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| 505 | 8 | |a Embedding graphs on surfaces / Jonathan L. Gross and Thomas W. Tucker -- Maximum genus / Jianer Chen and Yuanqiu Huang -- Distribution of embeddings / Jonathan L. Gross -- Algorithms and obstructions for embeddings / Bojan Mohar -- Graph minors : generalizing Kuratowski's theorem / R. Bruce Richter -- Colouring graphs on surfaces / Joan P. Hutchinson -- Crossing numbers R. Bruce Richter and G. Salazar -- Representing graphs and maps / Tomaž Pisanski and Arjana Žitnik -- Enumerating coverings / Jin Ho Kwak and Jaeun Lee -- Symmetric maps / Jozef Širáň -- The genus of a group / Thomas W. Tucker -- Embeddings and geometries / Arthur T. White -- Embeddings and designs / M.J. Grannell and T.S. Griggs -- Infinite graphs and planar maps / Mark E. Watkins -- Open problems / Dan Archdeacon | |
| 520 | |a The use of topological ideas to explore various aspects of graph theory, and vice versa, is a fruitful area of research. There are links with other areas of mathematics, such as design theory and geometry, and increasingly with such areas as computer networks where symmetry is an important feature. Other books cover portions of the material here, but there are no other books with such a wide scope. This book contains fifteen expository chapters written by acknowledged international experts in the field. Their well-written contributions have been carefully edited to enhance readability and to standardize the chapter structure, terminology and notation throughout the book. To help the reader, there is an extensive introductory chapter that covers the basic background material in graph theory and the topology of surfaces. Each chapter concludes with an extensive list of references | ||
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| 700 | 1 | |a Wilson, Robin J. |4 edt | |
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Datensatz im Suchindex
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| author2 | Beineke, Lowell W. Wilson, Robin J. |
| author2_role | edt edt |
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| author_facet | Beineke, Lowell W. Wilson, Robin J. |
| building | Verbundindex |
| bvnumber | BV043941204 |
| classification_rvk | SK 890 |
| collection | ZDB-20-CBO |
| contents | Embedding graphs on surfaces / Jonathan L. Gross and Thomas W. Tucker -- Maximum genus / Jianer Chen and Yuanqiu Huang -- Distribution of embeddings / Jonathan L. Gross -- Algorithms and obstructions for embeddings / Bojan Mohar -- Graph minors : generalizing Kuratowski's theorem / R. Bruce Richter -- Colouring graphs on surfaces / Joan P. Hutchinson -- Crossing numbers R. Bruce Richter and G. Salazar -- Representing graphs and maps / Tomaž Pisanski and Arjana Žitnik -- Enumerating coverings / Jin Ho Kwak and Jaeun Lee -- Symmetric maps / Jozef Širáň -- The genus of a group / Thomas W. Tucker -- Embeddings and geometries / Arthur T. White -- Embeddings and designs / M.J. Grannell and T.S. Griggs -- Infinite graphs and planar maps / Mark E. Watkins -- Open problems / Dan Archdeacon |
| ctrlnum | (ZDB-20-CBO)CR9781139087223 (OCoLC)859643513 (DE-599)BVBBV043941204 |
| 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 | 3511.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781139087223 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:15Z |
| institution | BVB |
| isbn | 9781139087223 |
| language | English |
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| spelling | Topics in topological graph theory edited by Lowell W. Beineke, Robin J. Wilson ; academic consultants, Jonathan L. Gross, Thomas W. Tucker Cambridge Cambridge University Press 2009 1 online resource (xviii, 347 pages) txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications volume 128 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Embedding graphs on surfaces / Jonathan L. Gross and Thomas W. Tucker -- Maximum genus / Jianer Chen and Yuanqiu Huang -- Distribution of embeddings / Jonathan L. Gross -- Algorithms and obstructions for embeddings / Bojan Mohar -- Graph minors : generalizing Kuratowski's theorem / R. Bruce Richter -- Colouring graphs on surfaces / Joan P. Hutchinson -- Crossing numbers R. Bruce Richter and G. Salazar -- Representing graphs and maps / Tomaž Pisanski and Arjana Žitnik -- Enumerating coverings / Jin Ho Kwak and Jaeun Lee -- Symmetric maps / Jozef Širáň -- The genus of a group / Thomas W. Tucker -- Embeddings and geometries / Arthur T. White -- Embeddings and designs / M.J. Grannell and T.S. Griggs -- Infinite graphs and planar maps / Mark E. Watkins -- Open problems / Dan Archdeacon The use of topological ideas to explore various aspects of graph theory, and vice versa, is a fruitful area of research. There are links with other areas of mathematics, such as design theory and geometry, and increasingly with such areas as computer networks where symmetry is an important feature. Other books cover portions of the material here, but there are no other books with such a wide scope. This book contains fifteen expository chapters written by acknowledged international experts in the field. Their well-written contributions have been carefully edited to enhance readability and to standardize the chapter structure, terminology and notation throughout the book. To help the reader, there is an extensive introductory chapter that covers the basic background material in graph theory and the topology of surfaces. Each chapter concludes with an extensive list of references Topological graph theory Topologische Graphentheorie (DE-588)4341226-9 gnd rswk-swf Topologische Graphentheorie (DE-588)4341226-9 s 1\p DE-604 Beineke, Lowell W. edt Wilson, Robin J. edt Erscheint auch als Druckausgabe 978-0-521-80230-7 https://doi.org/10.1017/CBO9781139087223 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Topics in topological graph theory Embedding graphs on surfaces / Jonathan L. Gross and Thomas W. Tucker -- Maximum genus / Jianer Chen and Yuanqiu Huang -- Distribution of embeddings / Jonathan L. Gross -- Algorithms and obstructions for embeddings / Bojan Mohar -- Graph minors : generalizing Kuratowski's theorem / R. Bruce Richter -- Colouring graphs on surfaces / Joan P. Hutchinson -- Crossing numbers R. Bruce Richter and G. Salazar -- Representing graphs and maps / Tomaž Pisanski and Arjana Žitnik -- Enumerating coverings / Jin Ho Kwak and Jaeun Lee -- Symmetric maps / Jozef Širáň -- The genus of a group / Thomas W. Tucker -- Embeddings and geometries / Arthur T. White -- Embeddings and designs / M.J. Grannell and T.S. Griggs -- Infinite graphs and planar maps / Mark E. Watkins -- Open problems / Dan Archdeacon Topological graph theory Topologische Graphentheorie (DE-588)4341226-9 gnd |
| subject_GND | (DE-588)4341226-9 |
| title | Topics in topological graph theory |
| title_auth | Topics in topological graph theory |
| title_exact_search | Topics in topological graph theory |
| title_full | Topics in topological graph theory edited by Lowell W. Beineke, Robin J. Wilson ; academic consultants, Jonathan L. Gross, Thomas W. Tucker |
| title_fullStr | Topics in topological graph theory edited by Lowell W. Beineke, Robin J. Wilson ; academic consultants, Jonathan L. Gross, Thomas W. Tucker |
| title_full_unstemmed | Topics in topological graph theory edited by Lowell W. Beineke, Robin J. Wilson ; academic consultants, Jonathan L. Gross, Thomas W. Tucker |
| title_short | Topics in topological graph theory |
| title_sort | topics in topological graph theory |
| topic | Topological graph theory Topologische Graphentheorie (DE-588)4341226-9 gnd |
| topic_facet | Topological graph theory Topologische Graphentheorie |
| url | https://doi.org/10.1017/CBO9781139087223 |
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