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Trivalent discrete surfaces and carbon structures

Record Type:	Electronic resources : Monograph/item
Title/Author:	Trivalent discrete surfaces and carbon structuresby Hisashi Naito.
Author:	Naito, Hisashi.
Published:	Singapore :Springer Nature Singapore :2023.
Description:	x, 105 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Crystallography, Mathematical.
Online resource:	https://doi.org/10.1007/978-981-99-5769-9
ISBN:	9789819957699$q(electronic bk.)

Trivalent discrete surfaces and carbon structures
Naito, Hisashi.

Trivalent discrete surfaces and carbon structures[electronic resource] /by Hisashi Naito. - Singapore :Springer Nature Singapore :2023. - x, 105 p. :ill., digital ;24 cm. - SpringerBriefs in the mathematics of materials,v. 52365-6344 ;. - SpringerBriefs in the mathematics of materials ;v.1..

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

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.

ISBN: 9789819957699$q(electronic bk.)

Standard No.: 10.1007/978-981-99-5769-9doiSubjects--Topical Terms:

194270
Crystallography, Mathematical.

LC Class. No.: QD911

Dewey Class. No.: 548.7

Trivalent discrete surfaces and carbon structures
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520 $a 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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