| 关于Wendt操作对链环交叉数的进一步结论 |
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| 引用本文： | 谭秋月1,孙平安2,林姝妤3. 关于Wendt操作对链环交叉数的进一步结论[J]. 华侨大学学报(自然科学版), 2017, 0(2): 276-280. DOI: 10.11830/ISSN.1000-5013.201702027 |
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| 作者姓名： | 谭秋月1 孙平安2 林姝妤3 |
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| 作者单位： | 1. 武夷学院 数学与计算机学院, 福建 南平 354300;2. 武夷学院 实验室管理中心, 福建 南平 354300;3. 厦门大学 数学科学学院, 福建 厦门 361000 |
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| 摘 要： | 研究纽结的一种解结操作——Wendt操作对链环交叉数的影响.计算纽结表中交叉指标不超过10的纽结,以及交叉指标不超过9的2分支链环的拟解结数,得到Wendt操作对这类链环的交叉数减二的结论.最后,通过投影图给予证明.
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| 关 键 词： | 纽结 链环 Wendt操作 解结数 交叉指标 |
Further Conclusion of Crossing Number of Links Based on Wendt Operation |
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| TAN Qiuyue1,SUN Ping’an2,LIN Shuyu3. Further Conclusion of Crossing Number of Links Based on Wendt Operation[J]. Journal of Huaqiao University(Natural Science), 2017, 0(2): 276-280. DOI: 10.11830/ISSN.1000-5013.201702027 |
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| Authors: | TAN Qiuyue1 SUN Ping’an2 LIN Shuyu3 |
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| Affiliation: | 1. School of Mathematics Science and Computer, Wuyi University, Nanping 354300, China; 2. Laboratory Management Center, Wuyi University, Nanping 354300, China; 3. School of Mathematical Sciences, Xiamen University, Xiamen 361000, China |
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| Abstract: | The effect of a single splitting operation, Wendt operation on the crossing number of the link diagrams is researched. We calculate the Quasi-splitting number of these two numbers for knots, which are with crossing number no more than 10, and with crossing number no more than 9 and 2-comonent links in the Knot table. One conclusion is that the Wendt operation can make the crossing number of these link diagrams minus two. In the last, we give a strict graph-theoretical proof by the projection drawings. |
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| Keywords: | knot link Wendt operation unknotting number crossing number |
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