| pólya计数定理的再推广及其一个应用:如何算出顶点按给定的有序分析而排列的有根树的个数 |
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| 引用本文： | 黄番华.pólya计数定理的再推广及其一个应用:如何算出顶点按给定的有序分析而排列的有根树的个数[J].华南师范大学学报(自然科学版),1986(1). |
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| 作者姓名： | 黄番华 |
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| 摘 要： | 本文把p(?)lya计数定理的推广形式从两个集合及分别作用在其上的两个置换群推广到多个的情形上去,并由此求出函数直积的复合式样数的计算公式,借助它便能解决题目所提出来的问题.
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| 关 键 词： | pòlya计数定理 有根树 顶点 排列 有序分析 集合 置换群 直积 复合式样 |
AN APPLICATION OF THE GENERALIZED FORM OF POLYA ENUMERATION THEOREM |
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| Huang Fanhua.AN APPLICATION OF THE GENERALIZED FORM OF POLYA ENUMERATION THEOREM[J].Journal of South China Normal University(Natural Science Edition),1986(1). |
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| Authors: | Huang Fanhua |
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| Institution: | Huang Fanhua |
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| Abstract: | The author extends the generalized form of polya enumeration theorem from the case of two sets and the permutation groups acting on them to the case of more sets and permutation groups so as to give the computational formula for finding the number of complex patterns of functional direct product, by vhick the problem of the counting of the rooted trees of points arranged by given ordinal separation can be solved |
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| Keywords: | rooted tree point arrange ordinal aeparation polya Enumeration Theorem set permutation complex patterns direct product computational formula |
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