Dn作用于无序对的循环指数公式

Mathematical Theory and Modeling Pub Date : 1900-01-01 DOI:10.21275/v5i4.nov162995

Geoffrey Muthoka, I. Kamuti, Hussein Lao, Patrick Kimani

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引用次数: 1

摘要

循环指数的概念是由Polya发现的(见[2])，他给了它现在的名字。他利用循环指数通过波利亚枚举定理来计算图形和化合物。目前比较流行的循环指标公式包括约简有序三元组群的循环指标(见[3])，Kamuti和Njuguna将其进一步推广为约简有序r群的循环指标(见[4])。《内部直接产品组周期指数》于2012年完成(见[5])。

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Cycle Index Formulas for Dn Acting on Unordered Pairs

The concept of the cycle index was discovered by Polya (See [2]) and he gave it its present name. He used the cycle index to count graphs and chemical compounds via the Polya’s Enumeration Theorem. More current cycle index formulas include the cycle index of the reduced ordered triples groups (See [3]) which was further extended by Kamuti and Njuguna to cycle index of the reduced ordered r-group (See [4]). The Cycle Index of Internal Direct Product Groups was done in 2012 (See [5]).

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Mathematical Theory and Modeling

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