Scale-isometric polytopal graphs in hypercubes and cubic lattices : polytopes in hypercubes and Zn̳ /

This monograph identifies polytopes that are "combinatorially l1-embeddable", within interesting lists of polytopal graphs, i.e. such that corresponding polytopes are either prominent mathematically (regular partitions, root lattices, uniform polytopes and so on), or applicable in chemistr...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Deza, M., 1939-
Other Authors: Grishukhin, Viatcheslav, Shtogrin, Mikhail
Format: Electronic eBook
Language:Inglés
Published: London : Imperial College Press, ©2004.
Subjects:
Graph theory.
Polytopes.
Metric spaces.
Embeddings (Mathematics)
Espaces métriques.
Plongements (Mathématiques)
MATHEMATICS > Graphic Methods.
Online Access:Texto completo
Table of Contents:
  • Scale-Isometric Polytopal Graphs in Hypercubes and Cubic Lattices: Polytopes in Hypercubes and Zn; Preface; Contents; 1. Introduction: Graphs and their Scale-isometric Embedding; 2. An Example: Embedding of Fullerenes; 3. Regular Tilings and Honeycombs; 4. Semi-regular Polyhedra and Relatives of Prisms and Antiprisms; 5. Truncation, Capping and Chamfering; 6. 92 Regular-faced (not Semi-regular) Polyhedra; 7. Semi-regular and Regular-faced n-polytopes, n 4; 8. Polycycles and Other Chemically Relevant Graphs; 9. Plane Tilings; 10. Uniform Partitions of 3-space and Relatives.

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