The best constant of discrete Sobolev inequality on 1812 C60 fullerene isomers
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- Kametaka Yoshinori
- Osaka University
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- Watanabe Kohtaro
- National Defense Academy
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- Nagai Atsushi
- Tsuda University
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- Takemura Kazuo
- Nihon University
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- Yamagishi Hiroyuki
- Tokyo Metropolitan College of Industrial Technology
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- Sekido Hiroto
- Kyoto University
Abstract
<p> The best constants of discrete Sobolev inequalities corresponding to 1812 isomers of C60 fullerene are found. Classical mechanical models of these isomers with a linear spring on each edge are investigated. The best constants stand for rigidities of these models. We show the best constants of 1812 isomers are distinct rational numbers and among these, Buckyball (or equivalently truncated icosahedron) takes the least. In other words, one can say that the Buckyball is the most rigid among 1812 C60 fullerene isomers. </p>
Journal
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- JSIAM Letters
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JSIAM Letters 12 (0), 49-52, 2020
The Japan Society for Industrial and Applied Mathematics
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Details 詳細情報について
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- CRID
- 1390848250132492800
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- NII Article ID
- 130007881802
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- ISSN
- 18830617
- 18830609
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- Text Lang
- en
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- Data Source
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- JaLC
- Crossref
- CiNii Articles
- KAKEN
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- Abstract License Flag
- Disallowed