The Gordian distance of handlebody-knots and Alexander biquandle colorings

Tomo Murao

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The Gordian distance of handlebody-knots and Alexander biquandle colorings

机译：手柄结和亚历山大双量子着色的高迪安距离

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摘要

We give lower bounds for the Gordian distance and the unknotting number of handlebody-knots by using Alexander biquandle colorings. We construct handlebody-knots with Gordian distance n and unknotting number n for any positive integer n.

机译：通过使用亚历山大双量子着色，我们为高迪安距离和车体结的不打结数目设定了下限。我们为任何正整数n构造了Gordian距离n和不打结数n的手柄体结。

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来源
《Journal of the Mathematical Society of Japan》 |2018年第4期|1247-1267|共21页
作者
Tomo Murao;
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作者单位

Institute of Mathematics University of Tsukuba 1-1-1 Tennodai, Tsukuba Ibaraki 305-8571, Japan;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类
关键词
handlebody-knot; biquandle; Gordian distance; unknotting number;

机译：手柄结双量子高地距离;不知道号码;

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机译：手柄结和Alexander quandle着色的解结数字
2. Cocycles of G-Alexander biquandles and G-Alexander multiple conjugation biquandles [J] . Ishii Atsushi, Iwakiri Masahide, Kamada Seiichi, Topology and its applications . 2021,第Sepa1期

机译：G-alexander各种人和G-alexander多共轭各种群组的Cocycles
3. On the Alexander polynomials of knots with Gordian distance one [J] . Akio Kawauchi Topology and its applications . 2012,第4期

机译：关于结点为1的结的亚历山大多项式
4. The k-distance coloring and k-distance edge coloring on double graph of paths [C] . Susu Jiao, Shuangliang Tian, Xiahong Cai, Global Conference on Mechanics and Civil Engineering . 2017

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5. Extremal problems in graph theory: Degree sequences, distance, colorings, and labelings [D] . Mubayi, Dhruv 1998

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6. When Did Coloring Books Become Mindful? Exploring the Effectiveness of a Novel Method of Mindfulness-Guided Instructions for Coloring Books to Increase Mindfulness and Decrease Anxiety [O] . Michail Mantzios, Kyriaki Giannou -1

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7. The Gordian distance of handlebody-knots and Alexander biquandle colorings [O] . Murao, Tomo 2017

机译：手杖结和亚历山大双曲的戈迪安距离色素

The Gordian distance of handlebody-knots and Alexander biquandle colorings

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