Topological Theory of Graphs /

Topological Theory of Graphs / / Yanpei Liu.

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This book introduces polyhedra as a tool for graph theory and discusses their properties and applications in solving the Gauss crossing problem. The discussion is extended to embeddings on manifolds, particularly to surfaces of genus zero and non-zero via the joint tree model, along with solution al...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Plus eBook-Package 2017
VerfasserIn:
Liu, Yanpei,
TeilnehmendeR:
University of Science & Technology,.
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2017]
©2017
Year of Publication:2017
Language:English
Online Access:
Physical Description:1 online resource (XII, 357 p.)
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Table of Contents:
  • Frontmatter
  • Preface to DG Edition
  • Preface to USTC Edition
  • Contents
  • 1. Preliminaries
  • 2. Polyhedra
  • 3. Surfaces
  • 4. Homology on Polyhedra
  • 5. Polyhedra on the Sphere
  • 6. Automorphisms of a Polyhedron
  • 7. Gauss Crossing Sequences
  • 8. Cohomology on Graphs
  • 9. Embeddability on Surfaces
  • 10. Embeddings on Sphere
  • 11. Orthogonality on Surfaces
  • 12. Net Embeddings
  • 13. Extremality on Surfaces
  • 14. Matroidal Graphicness
  • 15. Knot Polynomials
  • Bibliography
  • Subject Index
  • Author Index

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