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双蛛网周期双重三角格图链环分支数的计数

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通过对平图实施不改变其链环分支数的无符号平图的三类Reidemeister变换,以及对平图实施粘合同一个面上不相邻的两个顶点的图变换,化大图为小图,从而获得双蛛网周期双重三角格图链环分支数的计数。
Enumeration of the Component Number of Links Corresponding to the Periodic Double-triangular Lattices with Two Spiderweb Graphs
In this paper,we perform three kinds of unsigned graphic Reidemeister moves without changing the component number of corresponding links on plane graphs,and perform the graphic move of contracting two non-adjacent vertices on one face,to change large graphs into smaller ones.As a result,we obtain the com-ponent number of links corresponding to the periodic double-triangular lattices with two spiderweb graphs.

enumerationplane graphperiodic double-triangular lattices with two spiderweb graphsgraph-ic changecomponent number of link

林跃峰

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漳州城市职业学院,福建 漳州 363000

计数 平图 双蛛网周期双重三角格图 图变换 链环分支数

2024

安阳师范学院学报
安阳师范学院

安阳师范学院学报

影响因子:0.221
ISSN:1671-5330
年,卷(期):2024.26(5)