【摘 要】
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With a history of more than 3000 years, magic squares still are mysterious in various aspects. We in this paper give a comprehensive review and study on cla
【机 构】
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BNU-HKBUUnitedInternationalCollegeGeorgetownUniversity,USA
【出 处】
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The 24th International Workshop on Matrices and Statistics(第
论文部分内容阅读
With a history of more than 3000 years, magic squares still are mysterious in various aspects. We in this paper give a comprehensive review and study on classification of magic squares of order 4. There are a lot of studies on this topic. Several classification methods were proposed such as Anderson graph, Dudeney types, Frenicle-Amela pattern, transformation group, and so on. In this paper we propose two new angels for classification of magic squares of order 4. One is based on eigenvalues of the magic squares and another is to employ the theory of the majorization. The latter consideration is new. Relationships among results by the different classification methods are given.
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