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

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A01=Michel-marie Deza
A01=Mikhail I Shtogrin
A01=Viacheslav Grishukhin
Author_Michel-marie Deza
Author_Mikhail I Shtogrin
Author_Viacheslav Grishukhin
Category=PBC
Category=PBMW
Category=PBP
Category=PNR
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eq_isMigrated=1
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eq_nobargain
eq_non-fiction
eq_science
Hypercubes
Isometric Embedding
Lattices
Polytopes
Regularity

Product details

  • ISBN 9781860944215
  • Publication Date: 16 Feb 2004
  • Publisher: Imperial College Press
  • Publication City/Country: GB
  • Product Form: Hardback
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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 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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