Scale-Isometric Polytopal Graphs in Hypercubes and Cubic Lattices: Polytopes in Hypercubes and Zn (Hardcover) (ISBN-13: 9781860944215)

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.

Author: Michel-Marie Deza,Viacheslav Grishukhin,Mikhail I. Shtogrin
ISBN-10: 1860944213
ISBN-13: 9781860944215
Publisher: Imperial College Press
Language: English
Published: 02/16/2004
Pages: 188
Format: Hardcover
Weight: 0.89lbs
Size: 9.24h x 6.14w x 0.61d