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お茶の水女子大學自然科學報告 >
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http://hdl.handle.net/10083/831
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| KJ00004470810.pdf | | 260Kb | Adobe PDF | View/Open |
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| Title | : | On Regular Graphs and the Associated Real Algebras Generated by the Adjacency Matrices |
| Authors | : | Asamoto, Noriko
Koyama, Toshiko
Uchibe, Konagi |
| Issue Date | : | 15-Dec-1993 |
| Abstract | : | 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. |
| Type Local | : | 紀要論文 |
| URI | : | http://hdl.handle.net/10083/831 |
| Format | : | application/pdf |
| ncid | : | AN00033958 |
| Publisher | : | お茶の水女子大学 |
| | : | 266443 bytes |
| Citation | : | お茶の水女子大學自然科學報告 Vol.44 no.2 p.117 -122 |
| Appears in Collections | : | お茶の水女子大學自然科學報告
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