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Non-vanishing Terms of the Jones Polynomial
http://hdl.handle.net/2297/48726
http://hdl.handle.net/2297/48726f6d963fe-e33f-4721-905c-5b8053ecf41b
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
ISCS2015Proceedings-69-74.pdf (452.1 kB)
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| Item type | 報告書 / Research Paper(1) | |||||
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| 公開日 | 2017-10-03 | |||||
| タイトル | ||||||
| タイトル | Non-vanishing Terms of the Jones Polynomial | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_18ws | |||||
| 資源タイプ | research report | |||||
| 著者 |
Fuad, Yasin
× Fuad, Yasin× Kawagoe, Kenichi |
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| 書誌情報 |
Recent development in computational science 巻 6, p. 69-74, 発行日 2015-05-31 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 2223-0785 | |||||
| 出版者 | ||||||
| 出版者 | Kanazawa e-Publishing | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | We consider the Tutte polynomial for the graph associated to the (2, 2k + 1) torus and twist knot. Up to a sign and multiplication by a power of t the Jones polynomial VL(t) of an al-ternating link L is equal to the Tutte polynomial χ(G; −t, −t−1 ). Therefore, the Jones polynomial could be calculated by using the Tutte polynomial for (2, 2k + 1) torus and twist knot. The Jones polynomial has a vanishing term if the knot is a (2, 2k + 1) torus knot, but there is no vanishing term if the knot is a twist knot. We look for graphs which the associated with 3-tuple of pretzel link have non-vanishing terms in the Jones polynomial. The term Jones polynomial is proven to be non-vanishing by calculated the Tutte polynomial of the given graph. | |||||
| 内容記述 | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | Selected Papers from the International Symposium on Computational Science - International Symposium on Computational Science Kanazawa University, Japan | |||||
| 権利 | ||||||
| 権利情報 | Organizing Committee of ISCS 2015 | |||||
| 著者版フラグ | ||||||
| 出版タイプ | VoR | |||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
