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portada Trivalent Discrete Surfaces and Carbon Structures
Type
Physical Book
Author
Publisher
Language
English
Pages
105
Format
Paperback
Dimensions
23.2x15.4x1 cm
Weight
0.20 kg.
ISBN13
9789819957682
Categories

Trivalent Discrete Surfaces and Carbon Structures

Hisashi Naito (Author) · Springer · Paperback

Trivalent Discrete Surfaces and Carbon Structures - Naito, Hisashi

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Synopsis "Trivalent Discrete Surfaces and Carbon Structures"

This book discusses discrete geometric analysis, especially topological crystallography and discrete surface theory for trivalent discrete surfaces. Topological crystallography, based on graph theory, provides the most symmetric structure among given combinatorial structures by using the variational principle, and it can reproduce crystal structures existing in nature. In this regard, the topological crystallography founded by Kotani and Sunada is explained by using many examples. Carbon structures such as fullerenes are considered as trivalent discrete surfaces from the viewpoint of discrete geometric analysis. Discrete surface theories usually have been considered discretization of smooth surfaces. Here, consideration is given to discrete surfaces modeled by crystal/molecular structures, which are essentially discrete objects.

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