無向超圖的計數級數

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無向超圖的計數級數

文章導航 > 工程科學學報 > 1999 > 21(5): 507-510

黃汝激. 無向超圖的計數級數[J]. 工程科學學報, 1999, 21(5): 507-510. doi: 10.13374/j.issn1001-053x.1999.05.053

引用本文:

黃汝激. 無向超圖的計數級數[J]. 工程科學學報, 1999, 21(5): 507-510. doi: 10.13374/j.issn1001-053x.1999.05.053

Huang Ruji. Counting Series of Undirected Hypergraphs[J]. Chinese Journal of Engineering, 1999, 21(5): 507-510. doi: 10.13374/j.issn1001-053x.1999.05.053

Citation:

Huang Ruji. Counting Series of Undirected Hypergraphs[J]. Chinese Journal of Engineering, 1999, 21(5): 507-510. doi: 10.13374/j.issn1001-053x.1999.05.053

黃汝激. 無向超圖的計數級數[J]. 工程科學學報, 1999, 21(5): 507-510. doi: 10.13374/j.issn1001-053x.1999.05.053

引用本文:

黃汝激. 無向超圖的計數級數[J]. 工程科學學報, 1999, 21(5): 507-510. doi: 10.13374/j.issn1001-053x.1999.05.053

Huang Ruji. Counting Series of Undirected Hypergraphs[J]. Chinese Journal of Engineering, 1999, 21(5): 507-510. doi: 10.13374/j.issn1001-053x.1999.05.053

Citation:

Huang Ruji. Counting Series of Undirected Hypergraphs[J]. Chinese Journal of Engineering, 1999, 21(5): 507-510. doi: 10.13374/j.issn1001-053x.1999.05.053

無向超圖的計數級數

doi: 10.13374/j.issn1001-053x.1999.05.053

黃汝激

北京科技大學信息工程學院, 北京 100083

作者簡介:
黃汝激男,68歲,教授

中圖分類號: O157.5
計量
- 文章訪問數: 220
- HTML全文瀏覽量: 107
- PDF下載量: 6
- 被引次數: 0
出版歷程
- 收稿日期: 1999-01-13
- 網絡出版日期: 2021-08-27

Counting Series of Undirected Hypergraphs

Huang Ruji

Information Engineering School, UST Beijing, Beijing 100083, China

摘要: 應用置換群理論,引入了超過群、超圍群和超圖同構的概念,導出了超過群及其循環指標的一般表達式.導出了無向無標號超圖和標號超目的計數級數,解決了無向超圖的同構和計數問題.
- 超圖 /
- 同構 /
- 計數級數 /
- 無向超圖
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.
- hypergraph /
- hyperedge group /
- hypergraph isomorphism /
- counting series

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文章訪問數: 220
HTML全文瀏覽量: 107
PDF下載量: 6
被引次數: 0

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