| Description |
1 online resource (xiv, 409 pages) : illustrations |
|
text file PDF |
| Contents |
Frontmatter -- Preface (DG Edition) -- Preface (USTC Edition) -- Contents -- 1. Abstract Graphs -- 2. Abstract Maps -- 3. Duality -- 4. Orientability -- 5. Orientable Maps -- 6. Nonorientable Maps -- 7. Isomorphisms of Maps -- 8. Asymmetrization -- 9. Asymmetrized Petal Bundles -- 10. Asymmetrized Maps -- 11. Maps within Symmetry -- 12. Genus Polynomials -- 13. Census with Partitions -- 14. Equations with Partitions -- 15. Upper Maps of a Graph -- 16. Genera of a Graph -- 17. Isogemial Graphs -- 18. Surface Embeddability -- Appendix 1: Concepts of Polyhedra, Surfaces, Embeddings and Maps -- Appendix 2: Table of Genus Polynomials for Embeddings and Maps of Small Size -- Appendix 3: Atlas of Rooted and Unrooted Maps for Small Graphs -- Bibliography -- Author Index -- Subject Index. |
| Bibliography |
Includes bibliographical references and indexes. |
| Summary |
This book studies algebraic representations of graphs in order to investigate combinatorial structures via local symmetries. Topological, combinatorial and algebraic classifications are distinguished by invariants of polynomial type and algorithms are designed to determine all such classifications with complexity analysis. Being a summary of the author's original work on graph embeddings, this book is an essential reference for researchers in graph theory. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Language |
In English. |
| Subject |
Representations of graphs.
|
|
Representations of graphs. |
|
Representations of algebras.
|
|
Representations of algebras. |
|
Associative algebras.
|
|
Associative algebras. |
| Indexed Term |
(Produktform)Electronic book text |
|
(Zielgruppe)Fachpublikum/ Wissenschaft |
|
(BISAC Subject Heading)MAT036000 |
|
(BISAC Subject Heading)MAT038000: MAT038000 MATHEMATICS / Topology |
|
(BISAC Subject Heading)MAT002000: MAT002000 MATHEMATICS / Algebra / General |
|
(BISAC Subject Heading)MAT012000: MAT012000 MATHEMATICS / Geometry / General |
|
(VLB-WN)9620 |
|
(Produktrabattgruppe)PR: rabattbeschränkt/Bibliothekswerke |
| Genre/Form |
Electronic books.
|
| Added Author |
University of Science and Technology China Press.
|
| Other Form: |
Print version: 9783110481853 |
|
Print version: 9783110480757 |
|
Print version: 9783110480733 |
|
Print version: Liu, Yanpei, 1939- Algebraic elements of graphs. Berlin ; Boston : Walter de Gruyter GmbH, [2017] 9783110480733 (DLC) 2017042339 (OCoLC)985076036 |
| ISBN |
9783110480757 (electronic book) |
|
3110480751 (electronic book) |
|
3110481847 |
|
9783110481846 |
|
9783110481846 |
|
3110481847 |
|
9783110480733 |
|
3110480735 |
| Standard No. |
10.1515/9783110481846 |
|
9783110481846 |
|
urn:nbn:de:101:1-201710047308 |
|
