| 无向超图的计数级数 |
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| 引用本文： | 黄汝激.无向超图的计数级数[J].北京科技大学学报,1999,21(5):507-510. |
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| 作者姓名： | 黄汝激 |
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| 作者单位： | 北京科技大学信息工程学院!北京，100083 |
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| 摘 要： | 应用置换群理论，引入了超边群，超图群和超图同构的概念，导出了超边群及其循环指标的一般表达式，导出了无向无标号标图和标号超图的计数级数，解决了无向超图的同构和计数问题。
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| 关 键 词： | 超图 同构 计数级数 无向超图 |
Counting Series of Undirected Hypergraphs |
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| Huang Ruji.Counting Series of Undirected Hypergraphs[J].Journal of University of Science and Technology Beijing,1999,21(5):507-510. |
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| Authors: | Huang Ruji |
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| Abstract: | By applying permutation group theory,the concepts of hyperedge group, hypergraph group and hypergraph isomorphism are introduced, and the general expressions of hyperedge group and its cycle index are derived. Then the counting series are derived for undirected unlabeled and labeled hypergraphs, thus the isomorphism and counting problems of undirected hypergraphs are solved. |
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| Keywords: | hypergraph hyperedge group hypergraph isomorphism counting series |
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