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Algebraic Elements of Graphs /
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 w...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin ; Boston :
De Gruyter,
[2017]
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Mi 4500 | ||
|---|---|---|---|
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| 003 | OCoLC | ||
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| 100 | 1 | |a Liu, Yanpei, |e author. | |
| 245 | 1 | 0 | |a Algebraic Elements of Graphs / |c Yanpei Liu. |
| 264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2017] | |
| 264 | 4 | |c ©2017 | |
| 300 | |a 1 online resource (xiv, 409 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file | ||
| 347 | |b PDF | ||
| 505 | 0 | 0 | |t Frontmatter -- |t Preface (DG Edition) -- |t Preface (USTC Edition) -- |t Contents -- |t 1. Abstract Graphs -- |t 2. Abstract Maps -- |t 3. Duality -- |t 4. Orientability -- |t 5. Orientable Maps -- |t 6. Nonorientable Maps -- |t 7. Isomorphisms of Maps -- |t 8. Asymmetrization -- |t 9. Asymmetrized Petal Bundles -- |t 10. Asymmetrized Maps -- |t 11. Maps within Symmetry -- |t 12. Genus Polynomials -- |t 13. Census with Partitions -- |t 14. Equations with Partitions -- |t 15. Upper Maps of a Graph -- |t 16. Genera of a Graph -- |t 17. Isogemial Graphs -- |t 18. Surface Embeddability -- |t Appendix 1: Concepts of Polyhedra, Surfaces, Embeddings and Maps -- |t Appendix 2: Table of Genus Polynomials for Embeddings and Maps of Small Size -- |t Appendix 3: Atlas of Rooted and Unrooted Maps for Small Graphs -- |t Bibliography -- |t Author Index -- |t Subject Index. |
| 546 | |a In English. | ||
| 588 | 0 | |a Online resource; title from PDF title page (publisher's Web site, viewed 13. Sep 2017). | |
| 504 | |a Includes bibliographical references and indexes. | ||
| 520 | |a 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. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Representations of graphs. | |
| 650 | 0 | |a Representations of algebras. | |
| 650 | 0 | |a Associative algebras. | |
| 650 | 6 | |a Représentations de graphes. | |
| 650 | 6 | |a Représentations des algèbres. | |
| 650 | 6 | |a Algèbres associatives. | |
| 650 | 7 | |a MATHEMATICS |x Essays. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Pre-Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Reference. |2 bisacsh | |
| 650 | 7 | |a Associative algebras |2 fast | |
| 650 | 7 | |a Representations of algebras |2 fast | |
| 650 | 7 | |a Representations of graphs |2 fast | |
| 653 | |a (Produktform)Electronic book text | ||
| 653 | |a (Zielgruppe)Fachpublikum/ Wissenschaft | ||
| 653 | |a (BISAC Subject Heading)MAT036000 | ||
| 653 | |a (BISAC Subject Heading)MAT038000: MAT038000 MATHEMATICS / Topology | ||
| 653 | |a (BISAC Subject Heading)MAT002000: MAT002000 MATHEMATICS / Algebra / General | ||
| 653 | |a (BISAC Subject Heading)MAT012000: MAT012000 MATHEMATICS / Geometry / General | ||
| 653 | |a (VLB-WN)9620 | ||
| 653 | |a (Produktrabattgruppe)PR: rabattbeschränkt/Bibliothekswerke | ||
| 700 | 1 | |a University of Science and Technology China Press. | |
| 776 | 0 | 8 | |i Print version: |z 9783110481853 |
| 776 | 0 | 8 | |i Print version: |z 9783110480757 |
| 776 | 0 | 8 | |i Print version: |z 9783110480733 |
| 776 | 0 | 8 | |i Print version: |a Liu, Yanpei, 1939- |t Algebraic elements of graphs. |d Berlin ; Boston : Walter de Gruyter GmbH, [2017] |z 9783110480733 |w (DLC) 2017042339 |w (OCoLC)985076036 |
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