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naito hisashi - trivalent discrete surfaces and carbon structures

Trivalent Discrete Surfaces and Carbon Structures




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Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Springer

Pubblicazione: 11/2023
Edizione: 1st ed. 2023





Trama

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. 





Sommario

Overview of this monograph.- Graph theory.- Topological crystals.- Negatively curved carbon structures.- Trivalent discrete surfaces.- Subdivisions of trivalent discrete surfaces.- Miscellaneous topics.




Autore

Professor Hisashi Naito is a full Professor at Graduate School of Mathematics, Nagoya University. 










Altre Informazioni

ISBN:

9789819957682

Condizione: Nuovo
Collana: SpringerBriefs in the Mathematics of Materials
Dimensioni: 235 x 155 mm Ø 232 gr
Formato: Brossura
Illustration Notes:X, 105 p. 89 illus., 49 illus. in color.
Pagine Arabe: 105
Pagine Romane: x


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