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On Regular Graphs and the Associated Real Algebras Generated by the Adjacency Matrices
http://hdl.handle.net/10083/831
http://hdl.handle.net/10083/8311492b119-aa98-4fed-8890-fbf2b478c258
名前 / ファイル | ライセンス | アクション |
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KJ00004470810.pdf (266.4 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2007-04-23 | |||||
タイトル | ||||||
タイトル | On Regular Graphs and the Associated Real Algebras Generated by the Adjacency Matrices | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Asamoto, Noriko
× Asamoto, Noriko× Koyama, Toshiko× Uchibe, Konagi |
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著者(ヨミ) | ||||||
識別子 | 70530 | |||||
識別子Scheme | WEKO | |||||
姓名 | アサモト, ノリコ | |||||
著者(ヨミ) | ||||||
識別子 | 70531 | |||||
識別子Scheme | WEKO | |||||
姓名 | コヤマ, トシコ | |||||
著者(ヨミ) | ||||||
識別子 | 70532 | |||||
識別子Scheme | WEKO | |||||
姓名 | ウチベ, コナギ | |||||
内容記述 | ||||||
内容記述タイプ | Other | |||||
内容記述 | We will observe the relations between regular graphs and the eigenvalues of the adjacencdy matrices. The number of eigenvalues is equal to the dimension of the real algebra generated by the adjacency matrix provided that the multiplicity of the valency is 1 and no eigenvalue is 0. (cf. Th. 1 and Cor. 1). It is known that a regular graph with 3-demensional associated algebra is strongly regular and this algebra is so-called centralizer algebra which means that a suitable basis of the algebra makes the edge set an association scheme (cf. [2]). We will introduce the concept of quasi strongly regular graph and show its associated algebra is a centraliazer algebra. | |||||
書誌情報 |
お茶の水女子大學自然科學報告 巻 44, 号 2, p. 117-122, 発行日 1993-12-15 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 00298190 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AN00033958 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
形態 | ||||||
266443 bytes | ||||||
日本十進分類法 | ||||||
主題Scheme | NDC | |||||
主題 | 400 | |||||
出版者 | ||||||
出版者 | お茶の水女子大学 | |||||
資源タイプ | ||||||
内容記述タイプ | Other | |||||
内容記述 | 紀要論文 | |||||
資源タイプ・ローカル | ||||||
紀要論文 | ||||||
資源タイプ・NII | ||||||
Departmental Bulletin Paper | ||||||
資源タイプ・DCMI | ||||||
text | ||||||
資源タイプ・ローカル表示コード | ||||||
03 | ||||||
所属 | ||||||
Department of Information Sciences, Faculty of Science, Ochanomizu University | ||||||
所属 | ||||||
Department of Information Sciences, Faculty of Science, Ochanomizu University | ||||||
所属 | ||||||
Central Research Laboratory, Hitachi, Ltd. |