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OverviewThis 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. Full Product DetailsAuthor: Hisashi NaitoPublisher: Springer Verlag, Singapore Imprint: Springer Verlag, Singapore Edition: 1st ed. 2023 Volume: 5 Weight: 0.232kg ISBN: 9789819957682ISBN 10: 9819957680 Pages: 105 Publication Date: 01 November 2023 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsOverview of this monograph.- Graph theory.- Topological crystals.- Negatively curved carbon structures.- Trivalent discrete surfaces.- Subdivisions of trivalent discrete surfaces.- Miscellaneous topics.ReviewsAuthor InformationProfessor Hisashi Naito is a full Professor at Graduate School of Mathematics, Nagoya University. Tab Content 6Author Website:Countries AvailableAll regions |
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