Polyhedral Graphs

Polyhedral Graphs

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This book presents a review of both well-known and new findings on polyhedral graphs. Each chapter provides open problems and addresses an essential topic in the field, including face and edge types, connected subgraphs, spanning subgraphs, cycles in polyhedral graphs, complex polyhedra, groups of symmetries, and duality in polyhedra.
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Product details

  • Hardback | 300 pages
  • Taylor & Francis Ltd
  • Chapman & Hall/CRC
  • United States
  • English
  • 1584888458
  • 9781584888451

About Stanislav Jendrol

Pavol Jozef Safarik University, Kosice, Slovak Republic Technical University of Ilmenau, Pennewitz, Germany Pavol Jozef University, Kosice, Slovak Republic University of Central Florida, Orlando, USA Rutgers University, Piscataway, New Jersey, USA
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Table of contents

Introduction. Numbers of Vertices, Edges, and Faces of Polyhedral Graphs. Faces Types and Edge Types. Light Edges. Light Paths. Connected Subgraphs with Restricted Degrees of Their Vertices. Spanning Subgraphs. Cycles in Polyhedral Graphs. Face-Vectors and Vertex-Vectors of Convex Polyhedra. Groups of Symmetries of Convex Polyhedra. Duality in Polyhedra. Colouring of Polyhedral Graphs.
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