Scale-isometric Polytopal Graphs in Hypercubes and Cubic Lattices: Polytopes in Hypercubes and Zn̳

Передняя обложка
Imperial College Press, 2004 - Всего страниц: 188
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.

 

Содержание

Preface
1
from lattices Chapters 3 7 11 consider graphs in R Finally chapters
2
Embedding of Fullerenes
25
Regular Tilings and Honeycombs
39
Truncation Capping and Chamfering
53
Semiregular and Regularfaced npolytopes n 4
71
Polycycles and Other Chemically Relevant Graphs
77
Plane Tilings
83
Lattices Bilattices and Tiles
107
Small Polyhedra
115
Bifaced Polyhedra
119
Special 1graphs
137
Some Generalization of l₁embedding
153
Bibliography
163
Index
171
Авторские права

Uniform Partitions of 3space and Relatives
99

Другие издания - Просмотреть все

Часто встречающиеся слова и выражения

Библиографические данные