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New criteria and constructions of Brunnian links
Journal of Knot Theory and Its Ramifications ( IF 0.3 ) Pub Date : 2020-12-12 , DOI: 10.1142/s0218216520430087
Sheng Bai 1 , Weibiao Wang 1
Affiliation  

We present two practical and widely applicable methods, including some criteria and a general procedure, for detecting Brunnian property of a link, if each component is known to be unknot. The methods are based on observation and handwork. They are used successfully for all Brunnian links known so far. Typical examples and extensive experiments illustrate their efficiency. As an application, infinite families of Brunnian links are created and we establish a general way to construct new ones in bulk.

中文翻译:

Brunnian 链接的新标准和结构

我们提出了两种实用且广泛适用的方法,包括一些标准和一般程序,用于检测链接的 Brunnian 属性,如果每个组件都已知是未结的。这些方法基于观察和手工。它们已成功用于迄今为止已知的所有布伦尼亚链接。典型的例子和广泛的实验说明了它们的效率。作为一个应用程序,我们创建了无限的 Brunnian 链接族,我们建立了一种批量构建新链接的通用方法。
更新日期:2020-12-12
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