Algebraic Elements of Graphs /

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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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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Liu, Yanpei (Author)
Other Authors: University of Science and Technology China Press
Format: Electronic eBook
Language:Inglés
Published: Berlin ; Boston : De Gruyter, [2017]
Subjects:
Representations of graphs.
Representations of algebras.
Associative algebras.
Représentations de graphes.
Représentations des algèbres.
Algèbres associatives.
MATHEMATICS > Essays.
MATHEMATICS > Pre-Calculus.
MATHEMATICS > Reference.
Associative algebras
Representations of algebras
Representations of graphs
(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
Online Access:Texto completo
Table of 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.

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