A note on the spherical embeddings of strongly regular graphs

A note on the spherical embeddings of strongly regular graphs
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DOI:
10.1016/j.ejc.2004.07.003
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发表时间:
2005-11
期刊:
Eur. J. Comb.
影响因子:
--
通讯作者:
E. Bannai;E. Bannai
E. Bannai;E. Bannai
中科院分区:
其他
文献类型:
--
作者:
E. Bannai;E. Bannai

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一类2本原对称结合概型,关于其Bose-Mesner代数的本原幂等元E1,自然地嵌入为欧氏空间单位球面中的一个二距离集.然后,示出了立即从字符表中读取两个距离集合的两个距离的比率(即,关联方案的第一特征矩阵P)。
A primitive symmetric association scheme of class 2 is naturally embedded as a two-distance set in the unit sphere of Euclidean space, with respect to the primitive idempotent E1of the Bose–Mesner algebra of the association scheme. Then it is shown that the ratio of the two distances of the two-distance set is instantly read from the character table (i.e., the first eigen matrix P) of the association scheme.