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Trivalent Discrete Surfaces and Carbon Structures by Hisashi Naito

Trivalent Discrete Surfaces and Carbon Structures

by Hisashi Naito
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Book cover type: Paperback
  • ISBN13: 9789819957682
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 105
  • Original Price: EUR 44.99
  • Language: English
  • Edition: 2023
  • Item Weight: 208 grams
  • BISAC Subject(s): Geometry / Differential and Discrete Mathematics

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.

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

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