Coherent band pathways between knots and links

Coherent band pathways between knots and links
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DOI:
10.1142/s0218216515500066
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发表时间:
2015-02-01
影响因子:
0.5
通讯作者:
Ishihara, Kai
Ishihara, Kai
中科院分区:
数学4区
文献类型:
--
作者:
Buck, Dorothy;Ishihara, Kai

文献摘要

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我们分类相干带(又名无效)路径之间的节和二分量链接。此外,我们描述了任何两个结点或具有小交叉数的双组分链接之间的最小相干带路径(含中间产物)。我们演示这些手术结和连接与小交叉数。我们将这些结果应用于分离DNA构型的重组事件的最小数量的下限,限制重组途径,并确定最终重组DNA分子的手性和/或取向。
We categorize coherent band (aka nullification) pathways between knots and 2-component links. Additionally, we characterize the minimal coherent band pathways (with intermediates) between any two knots or 2-component links with small crossing number. We demonstrate these band surgeries for knots and links with small crossing number. We apply these results to place lower bounds on the minimum number of recombinant events separating DNA configurations, restrict the recombination pathways and determine chirality and/or orientation of the resulting recombinant DNA molecules.