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两类平图对应的链环分支数 被引量:1

The Component Number of the Corresponding Link Diagram about Two Kinds of Plane Graphs
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摘要 在纽结理论中,符号平图与链环投影图之间有着一一对应关系,图的对应的链环投影图的分支数与符号平图的符号无关,确定平图的对应的链环投影图的分支数是用平图研究链环的基本问题之一.给出并证明8.8.6格图和Aztec dia-mond图对应的链环分支数. In knot theory,there is a one-to-one correspondence between signed plane graphs and link diagrams via the medial construction.The component number of the corresponding link diagram is independent of the signs of the plane graph.Determining the component number of the corresponding link diagram may be one of the basic problems in studying links by using graphs.The paper gives and proves the component number of the corresponding link diagram about the 8.8.6-lattice graphs and the Aztec diamond-graphs.
作者 周靓苹
出处 《衡水学院学报》 2011年第4期26-29,共4页 Journal of Hengshui University
关键词 8.8.6格图 AZTEC diamond图 链环 分支数 R-变换 8.8.6-lattice graphs Aztec diamond-graphs link component number Reidemeister move
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  • 2TUTTE W T. A contribution to the theory of chromatic polynomials[J]. Canad.J.Math., 1954(6):80-91.
  • 3JIN Xian-an.On graphs determining links with maximal number of components via medial construction[J]. Discrete Applied Mathematics, 2009,157:3099-3110.
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  • 5ALFRED W. Covering the Aztec Diamond with One-sided Tetrasticks[EB/OL]. [2010-05-19]. http://did.mat.uni-bayreuth.de/ wassermanrdtetrastick.pdf.

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