Scale-isometric polytopal graphs in hypercubes and cubic lattices [[electronic resource] /] / Michel Deza, Viatcheslav Grishukhin, Mikhail Shtogrin
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| Autore: |
Deza M. <1934->
|
| Titolo: |
Scale-isometric polytopal graphs in hypercubes and cubic lattices [[electronic resource] /] / Michel Deza, Viatcheslav Grishukhin, Mikhail Shtogrin
|
| Pubblicazione: | London, : Imperial College Press, c2004 |
| Descrizione fisica: | 1 online resource (186 p.) |
| Disciplina: | 511/.5 |
| Soggetto topico: | Graph theory |
| Polytopes | |
| Metric spaces | |
| Embeddings (Mathematics) | |
| Soggetto genere / forma: | Electronic books. |
| Altri autori: |
GrishukhinViatcheslav
ShtogrinMikhail
|
| Note generali: | On t.p. "o<U+00cc><U+0083>n" is subscript. |
| Nota di bibliografia: | Includes bibliographical references (p. 163-169) and index. |
| Nota di contenuto: | 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 |
| 11. Lattices, Bi-lattices and Tiles12. Small Polyhedra; 13. Bifaced Polyhedra; 14. Special l1-graphs; 15. Some Generalization of l1-embedding; Bibliography; Index | |
| Sommario/riassunto: | 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 chemistry (fullerenes, polycycles, etc.). The embeddability, if any, provides applications to chemical graphs and, in the first case, it gives new combinatorial perspective to ""l2-prominent"" affine polytopal objects. The lists of polytopal graphs in the book come from broad areas of geometry, crystallography an |
| Titolo autorizzato: | Scale-isometric polytopal graphs in hypercubes and cubic lattices |
| ISBN: | 1-281-86651-2 |
| 9786611866518 | |
| 1-4237-0888-1 | |
| 1-86094-548-1 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910450182303321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |