| 基于平图的两种有向链环的Homfly多项式 |
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| 引用本文： | 金贤安.基于平图的两种有向链环的Homfly多项式[J].厦门大学学报(自然科学版),2007,46(1):1-5. |
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| 作者姓名： | 金贤安 |
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| 作者单位： | 厦门大学数学科学学院,福建,厦门,361005 |
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| 摘 要： | 给定一个平图,Jaeger为之联系了一个有向链环,并建立了该图的Tutte多项式和所得有向链环的Homfly多项式之间的关系.这促使我们考虑其它给图联系有向链环的方式并得到类似的关系.文中给定一个平图,通过其中间图构造了两种有向链环,得到了这两种有向链环的Homfly多项式和该图的Tutte多项式之间的关系,其中一个关系推广了Jaeger的工作.根据上述得到的两个关系,给出了两类有向链环的Homfly多项式.
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| 关 键 词： | Homfly多项式 Tutte多项式 关系 |
| 文章编号： | 0438-0479(2007)01-0001-05 |
| 修稿时间： | 09 30 2006 12:00AM |
Homfly Polynomials of Two Kinds of Oriented Links Based on Plane Graphs |
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| JIN Xian-an.Homfly Polynomials of Two Kinds of Oriented Links Based on Plane Graphs[J].Journal of Xiamen University(Natural Science),2007,46(1):1-5. |
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| Authors: | JIN Xian-an |
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| Institution: | School of Mahtematical Science,Xiamen University,Xiamen 36100S ,China |
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| Abstract: | Given a graph,Jaeger assocated it with an oriented link,established a relation between Tutte polynomial of the graph and Homfly polynomial of the assocated oriented link.Inspired by his work,in this paper the author associates a plane graph with another two oriented links and establishes two relations between the Tutte polynomial of this graph and the Homfly polynomial of the corresponding oriented link,one of which generalizes Jaeger's result.Based on these relations,the Homfly polynomials for two families of oriented links are obtained. |
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| Keywords: | Homfly polynomial Tutte polynomial relation |
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