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" Scale-isometric polytopal graphs in hypercubes and cubic lattices : "
Michel Deza, Viatcheslav Grishukhin, Mikhail Shtogrin.
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BL
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| Record Number
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1012008
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b766378
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| Main Entry
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Deza, M.,1939-
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| Title & Author
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Scale-isometric polytopal graphs in hypercubes and cubic lattices : : polytopes in hypercubes and Zn̳ /\ Michel Deza, Viatcheslav Grishukhin, Mikhail Shtogrin.
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| Publication Statement
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London :: Imperial College Press,, ©2004.
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| Page. NO
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1 online resource (ix, 175 pages) :: illustrations
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| ISBN
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1423708881
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: 1860944213
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: 1860945481
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: 9781423708889
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: 9781860944215
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: 9781860945489
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1860944213
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| Notes
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On t.p. "n̳" is subscript.
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| Bibliographies/Indexes
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Includes bibliographical references (pages 163-169) and index.
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| Contents
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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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| Abstract
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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 and graph.
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| Subject
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Embeddings (Mathematics)
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Graph theory.
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Metric spaces.
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Polytopes.
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Embeddings (Mathematics)
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Graph theory.
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MATHEMATICS-- Graphic Methods.
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Metric spaces.
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Polytopes.
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| Dewey Classification
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511/.5
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| LC Classification
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QA166.D489 2004eb
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| Added Entry
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Grishukhin, Viatcheslav.
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Shtogrin, Mikhail.
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