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Trivalent Discrete Surfaces and Carbon Structures / by Hisashi Naito.
Springer Nature - Springer Mathematics and Statistics eBooks 2023 English International Available online
View online- Format:
- Book
- Author/Creator:
- Naito, Hisashi.
- Series:
- SpringerBriefs in the Mathematics of Materials, 2365-6344 ; 5
- Language:
- English
- Subjects (All):
- Geometry, Differential.
- Discrete mathematics.
- Differential Geometry.
- Applications of Discrete Mathematics.
- Discrete Mathematics.
- Local Subjects:
- Differential Geometry.
- Applications of Discrete Mathematics.
- Discrete Mathematics.
- Physical Description:
- 1 online resource (113 pages)
- Edition:
- 1st ed. 2023.
- Place of Publication:
- Singapore : Springer Nature Singapore : Imprint: Springer, 2023.
- Summary:
- 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. .
- Contents:
- Overview of this monograph
- Graph theory
- Topological crystals
- Negatively curved carbon structures
- Trivalent discrete surfaces
- Subdivisions of trivalent discrete surfaces
- Miscellaneous topics.
- Other Format:
- Print version: Naito, Hisashi Trivalent Discrete Surfaces and Carbon Structures
- ISBN:
- 981-9957-69-9
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