[1]谭秋月,孙平安,林姝妤.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),2017,38(2):276-280.[doi:10.11830/ISSN.1000-5013.201702027]
　TAN Qiuyue,SUN Pingan,LIN Shuyu.Further Conclusion of Crossing Number of Links Based on Wendt Operation[J].Journal of Huaqiao University(Natural Science),2017,38(2):276-280.[doi:10.11830/ISSN.1000-5013.201702027]
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关于Wendt操作对链环交叉数的进一步结论()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第38卷
期数:
2017年第2期
页码:
276-280
栏目:
出版日期:
2017-03-20

文章信息/Info

Title:
Further Conclusion of Crossing Number of Links Based on Wendt Operation
文章编号:
1000-5013(2017)02-0276-05
作者:
谭秋月1;  孙平安2;  林姝妤3
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
Author(s):
TAN Qiuyue1;  SUN Ping’an2;  LIN Shuyu3
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
关键词:
纽结;  链环;  Wendt操作;  解结数;  交叉指标
Keywords:
knot;  link;  Wendt operation;  unknotting number;  crossing number
分类号:
O157.5
DOI:
10.11830/ISSN.1000-5013.201702027
文献标志码:
A
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.
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.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期: 2017-02-14
通信作者: 谭秋月(1980-),女,副教授,主要从事图论、离散数学的研究.E-mail:tqyspa@163.com.
基金项目: 福建省教育厅科技项目(JA1551); 福建省大学生创新创业训练计划项目(201510397029); 武夷学院科研基金资助项目(XL201409)
更新日期/Last Update: 2017-03-20