Algebraic Elements of Graphs / / Yanpei Liu.
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...
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| Superior document: | Title is part of eBook package: De Gruyter DG Plus eBook-Package 2017 |
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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2017] ©2017 |
| Year of Publication: | 2017 |
| Language: | English |
| Online Access: | |
| Physical Description: | 1 online resource (XII, 410 p.) |
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| 100 | 1 | |a Liu, Yanpei, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 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 (XII, 410 p.) | ||
| 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 |b PDF |2 rda | ||
| 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 |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 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. ContentsAbstract GraphsAbstract MapsDualityOrientabilityOrientable MapsNonorientable MapsIsomorphisms of MapsAsymmetrizationAsymmetrized Petal BundlesAsymmetrized MapsMaps within SymmetryGenus PolynomialsCensus with PartitionsEquations with PartitionsUpper Maps of a GraphGenera of a GraphIsogemial GraphsSurface Embeddability | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) | |
| 650 | 0 | |a Associative algebras. | |
| 650 | 0 | |a Representations of algebras. | |
| 650 | 0 | |a Representations of graphs. | |
| 650 | 7 | |a MATHEMATICS / Combinatorics. |2 bisacsh | |
| 700 | 1 | |a University of Science and Technology China Press,. | |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DG Plus eBook-Package 2017 |z 9783110719543 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE 2017 |z 9783110540550 |o ZDB-23-DGG |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE ENGLISH 2017 |z 9783110625264 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2017 |z 9783110548204 |o ZDB-23-DMA |
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| 776 | 0 | |c print |z 9783110480733 | |
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