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两类平图对应的链环分支数
引用本文:周靓苹.两类平图对应的链环分支数[J].衡水学院学报,2011,13(4):26-29.
作者姓名:周靓苹
作者单位:漳州城市职业学院经济管理系,福建漳州,363000
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.

关 键 词:8.8.6格图  Aztec  diamond图  链环  分支数  R-变换

The Component Number of the Corresponding Link Diagram about Two Kinds of Plane Graphs
ZHOU Jing-ping.The Component Number of the Corresponding Link Diagram about Two Kinds of Plane Graphs[J].Journal of Hengshui University,2011,13(4):26-29.
Authors:ZHOU Jing-ping
Institution:ZHOU Jing-ping (Department of Economic Management,Zhangzhou City Vocational College,Zhangzhou,Fujian 363000,China)
Abstract: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.
Keywords:8  8  6-lattice graphs  Aztec diamond-graphs  link  component number  Reidemeister move  
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