The Number of Perfect Matchings in Hexagons on the Torus by Pfaffians
Let G be a (molecular) graph. A perfect matching of G is defined as a set of edges which are independent and cover every vertex of G exactly once. In the article, we present the formula on the number of the perfect matchings of two types of hexagons on the torus by Pfaffians.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/4120166 |
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| _version_ | 1850163783833485312 |
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| author | Shouliu Wei Fuliang Lu Xiaoling Ke |
| author_facet | Shouliu Wei Fuliang Lu Xiaoling Ke |
| author_sort | Shouliu Wei |
| collection | DOAJ |
| description | Let G be a (molecular) graph. A perfect matching of G is defined as a set of edges which are independent and cover every vertex of G exactly once. In the article, we present the formula on the number of the perfect matchings of two types of hexagons on the torus by Pfaffians. |
| format | Article |
| id | doaj-art-ece30e9367974829bd26de34bdee4000 |
| institution | OA Journals |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-ece30e9367974829bd26de34bdee40002025-08-20T02:22:09ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/4120166The Number of Perfect Matchings in Hexagons on the Torus by PfaffiansShouliu Wei0Fuliang Lu1Xiaoling Ke2College of Mathematics and Data Science (Software College)School of Mathematics and StatisticsCollege of Mathematics and Data Science (Software College)Let G be a (molecular) graph. A perfect matching of G is defined as a set of edges which are independent and cover every vertex of G exactly once. In the article, we present the formula on the number of the perfect matchings of two types of hexagons on the torus by Pfaffians.http://dx.doi.org/10.1155/2022/4120166 |
| spellingShingle | Shouliu Wei Fuliang Lu Xiaoling Ke The Number of Perfect Matchings in Hexagons on the Torus by Pfaffians Journal of Mathematics |
| title | The Number of Perfect Matchings in Hexagons on the Torus by Pfaffians |
| title_full | The Number of Perfect Matchings in Hexagons on the Torus by Pfaffians |
| title_fullStr | The Number of Perfect Matchings in Hexagons on the Torus by Pfaffians |
| title_full_unstemmed | The Number of Perfect Matchings in Hexagons on the Torus by Pfaffians |
| title_short | The Number of Perfect Matchings in Hexagons on the Torus by Pfaffians |
| title_sort | number of perfect matchings in hexagons on the torus by pfaffians |
| url | http://dx.doi.org/10.1155/2022/4120166 |
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