Design Theory from the Viewpoint of Algebraic Combinatorics

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• 作者：Eiichi Bannai ; Etsuko Bannai ; Hajime Tanaka ; Yan Zhu
• 关键词：Association scheme ; t ; design ; Relative t ; design ; Spherical design ; Euclidean design ; Tight design ; Terwilliger algebra
• 刊名：Graphs and Combinatorics
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：33
• 期：1
• 页码：1-41
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Combinatorics; Engineering Design;
• 出版者：Springer Japan
• ISSN：1435-5914
• 卷排序：33

文摘

We give a survey on various design theories from the viewpoint of algebraic combinatorics. We will start with the following themes.(i)The similarity between spherical t-designs and combinatorial t-designs, as well as t-designs in Q-polynomial association schemes.