Scale-Isometric Polytopal Graphs in Hypercubes and Cubic Lattices: Polytopes in Hypercubes & Zn

Shtogrin, Mikhail, Grishukhin, Viatcheslav, Deza, Michel

ISBN 10: 1860944213 / ISBN 13: 9781860944215

Published by Imperial College Press, 2004

About this Item

Seller Inventory # mon0000421242

Bibliographic Details

• Title: Scale-Isometric Polytopal Graphs in Hypercubes and Cubic Lattices: Polytopes in Hypercubes & Zn
• Publisher: Imperial College Press
• Publication Date: 2004
• Language: English
• ISBN 10: 1860944213
• ISBN 13: 9781860944215
• Binding: Hardcover
• Condition: Very Good

About this title

Synopsis

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.

Review

.,." concise and independent presentations of most of the topics allows the book to serve a variety of needs.?