CLASSIFICATION OF ASSOCIATION SCHEMES WITH 18 AND 19 VERTICES

CLASSIFICATION OF ASSOCIATION SCHEMES WITH 18 AND 19 VERTICES
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DOI:
10.1007/bf03008881
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发表时间:
1998-09
期刊:
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影响因子:
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通讯作者:
A. Hanaki;I. Miyamoto
A. Hanaki;I. Miyamoto
中科院分区:
其他
文献类型:
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作者:
A. Hanaki;I. Miyamoto

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对顶点数为18和19的结合方案的同构类进行了分类。我们得到了95个18顶点结合方案的同构类,并将同构类的代表表示为7个结合方案的子方案。我们得到了7类同构的19顶点结合方案,其中6类是分圆方案。
The isomorphism classes of association schemes with 18 and 19 vertices are classified. We obtain 95 isomorphism classes of association schemes with 18 vertices and denote the representatives of the isomorphism classes as subschemes of 7 association schemes. We obtain 7 isomorphism classes of association schemes with 19 vertices and six of them are cyclotomic schemes.