Montesinos纽结的Delta-解结数为一
Montesinos Knots with Delta-Unknotting Number One
中文总结 AI 辅助
本文研究$\Delta$-解结数为一的Montesinos纽结，提出其猜想性刻画，并给出不同$\Delta$-移动将纽结变为平凡纽结的实例。
中文摘要 AI 辅助
纽结的$\Delta$-解结数定义为将该纽结变形为平凡纽结所需的最小$\Delta$-移动次数。本文讨论$\Delta$-解结数等于一的Montesinos纽结。我们提出了具有$\Delta$-解结数一的Montesinos纽结的一个猜想性刻画，并提供了允许不同$\Delta$-移动的实例，每个移动都将该纽结变形为平凡纽结。
英文摘要
The $Δ$-unknotting number for a knot is defined as the minimum number of $Δ$-moves needed to deform the knot into the trivial knot. In this paper, we discuss Montesinos knots whose $Δ$-unknotting number is equal to one. We propose a conjectural characterization of Montesinos knots with $Δ$-unknotting number one and provide examples admitting distinct $Δ$-moves, each of which deforms the knot into the trivial knot.
