On primitive symmetric association schemes with m1=3

On primitive symmetric association schemes with m1=3
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DOI:
10.11575/cdm.v1i1.61912.g46645
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发表时间:
2006-03
期刊:
Contributions Discret. Math.
影响因子:
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通讯作者:
E. Bannai;E. Bannai
E. Bannai;E. Bannai
中科院分区:
其他
文献类型:
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作者:
E. Bannai;E. Bannai

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We classify primitive symmetric association schemes with m_1 = 3. Namely, it is shown that the tetrahedron, i.e., the association scheme of the complete graph K_4, is the unique such association scheme. Our proof of this result is based on the spherical embeddings of association schemes and elementary three dimensional Euclidean geometry.