ENGLISH

Scale-isometric polytopal graphs in hypercubes and cubic lattices: Polytopes in hypercubes and Zn

By Michel Deza , Viatcheslav Grishukhin , Mikhail Shtogrin

Book information

Publisher
World Scientific Publishing Company
Year
2004
ISBN
9781860944215, 1860944213
LCC
QA166 .D489 2004
Open Library ID
OL3369802M
Language
english
Format
DJVU
Filesize
3 MB (3052068 bytes)
Edition
illustrated edition
Pages
185\185
Library
Kolxo3
DPI
600
Time added
2009-07-20 03:45:11

Description

This monograph identifies polytopes that are "combinatorially R1-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 "R2-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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