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A categorification for the flow polynomial of graphs
http://hdl.handle.net/10935/4680
http://hdl.handle.net/10935/46802ff97627-9a46-41bc-93ce-e892f21d4448
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
AN10065983V33pp113-121.pdf
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| アイテムタイプ | default_紀要論文 / Departmental Bulletin Paper(1) | |||||||||||
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| 公開日 | 2018-05-22 | |||||||||||
| タイトル | ||||||||||||
| タイトル | A categorification for the flow polynomial of graphs | |||||||||||
| 言語 | en | |||||||||||
| 言語 | ||||||||||||
| 言語 | eng | |||||||||||
| キーワード | ||||||||||||
| 言語 | en | |||||||||||
| 主題Scheme | Other | |||||||||||
| 主題 | categorification | |||||||||||
| キーワード | ||||||||||||
| 言語 | en | |||||||||||
| 主題Scheme | Other | |||||||||||
| 主題 | flow polynomial | |||||||||||
| 資源タイプ | ||||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||||
| 資源タイプ | departmental bulletin paper | |||||||||||
| 著者 |
片桐,民陽
× 片桐,民陽
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| 抄録 | ||||||||||||
| 内容記述タイプ | Abstract | |||||||||||
| 内容記述 | M. Khovanov constructed a bigraded (co)homology group for links such that its graded Euler characteristic is equal to the Jones polynomial. L. Helme-Guizon and Y. Rong constructed a cohomology theory that categorifies the chromatic polynomial of graphs, i.e., the graded Euler characteristic of the cochain complex and the corresponding cohomology groups is the chromatic polynomial in [2, 3]. On the structures of the chromatic cohomology group, see [1, 4, 7]. E. F. Jasso- Hernandez and Y. Rong did the same for the Tutte polynomial of graphs in [5]. V. V. Vershinin and A. Y. Vesnin also did the same for the Yamada polynomial of graphs in [8]. K. Luse and Y. Rong did the same for the Penrose polynomial of plane graphs in [6]. The essential point of the construction is the state sum formula for polynomials. In this paper, for each graph G, we define bigraded cohomology groups, the Euler characteristic of which is a multiple of the flow polynomial of G. It is known that if a graph has a bridge, then its flow polynomial is zero. We show that this property is at the cohomology level. | |||||||||||
| 言語 | en | |||||||||||
| 書誌情報 |
ja : 人間文化研究科年報(奈良女子大学大学院人間文化研究科) 巻 33, p. 113-121, 発行日 2018-03-31 |
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| 出版者 | ||||||||||||
| 出版者 | 奈良女子大学大学院人間文化研究科 | |||||||||||
| 言語 | ja | |||||||||||
| ISSN | ||||||||||||
| 収録物識別子タイプ | PISSN | |||||||||||
| 収録物識別子 | 0913-2201 | |||||||||||
| 書誌レコードID | ||||||||||||
| 収録物識別子タイプ | NCID | |||||||||||
| 収録物識別子 | AN10065983 | |||||||||||
| 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 | |||||||||||
