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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Liu, Yanpei (Autor)
Otros Autores: University of Science and Technology China Press
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin ; Boston : De Gruyter, [2017]
Temas:
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
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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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