Scale-isometric Polytopal Graphs In Hypercubes And Cubic Lattices: Polytopes In Hypercubes And Zn (inbunden)
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Format
Inbunden (Hardback)
Språk
Engelska
Antal sidor
188
Utgivningsdatum
2004-02-01
Förlag
Imperial College Press
Medarbetare
Grishukhin, Viatcheslav
Illustrationer
Illustrations
Dimensioner
235 x 156 x 15 mm
Vikt
404 g
Antal komponenter
1
ISBN
9781860944215

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Scale-isometric Polytopal Graphs In Hypercubes And Cubic Lattices: Polytopes In Hypercubes And Zn (inbunden)

Scale-isometric Polytopal Graphs In Hypercubes And Cubic Lattices: Polytopes In Hypercubes And Zn

Polytopes in Hypercubes and Zn?

av Michel-Marie Deza, Viacheslav Grishukhin, Mikhail I Shtogrin
Inbunden Engelska, 2004-02-01
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This monograph identifies polytopes that are "combinatorially 1-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 " 2-prominent" affine polytopal objects.The lists of polytopal graphs in the book come from broad areas of geometry, crystallography and graph theory. The book concentrates on such concise and, as much as possible, independent definitions. The scale-isometric embeddability - the main unifying question, to which those lists are subjected - is presented with the minimum of technicalities.
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"The authors give concise and independent presentations of most of the topics and the readers of different backgounds will be able to browse or study those chapters which are of interest for them. The presentation allows the book to serve a variety of needs." Mathematical Reviews

Innehållsförteckning

Introduction: Graphs and Their Scale-Isometric Embedding - An Example: Embedding of Fullerenes - Regular Tilings and Honeycombs - Semi-regular Polyhedra and Relatives of Prisms and Antiprisms - Truncation, Capping and Chamfering - 92 Regular-faced (not Semi-regular) Polyhedra - Semi-regular and Regular-faced n-Polytopes, n 4 - Polycycles and Other Chemically Relevant Graphs - Plano Tilings - Uniform; Partitions of 3-Space and Relatives - Lattices, Bi-lattices and Tiles - Small Polyhedra - Bifaced Polyhedra - Special 1-graphs - Some Generalization of 1-embedding