论文标题

绘画

Graphoids

论文作者

Gügümcü, Neslihan, Kauffman, Louis H., Pongtanapaisan, Puttipong

论文摘要

我们研究虚拟图形的不变性,它们是虚拟空间图表图,具有两个杰出的一位顶点模型图形图形reidemerster移动,该移动远离了杰出的顶点。概括了先前已知的结果,我们给出了绘图样品的拓扑解释。虚拟石油理论有几种应用。首先,虚拟刻画是用于研究蛋白质中产生的打结图的合适对象。其次,可以将虚拟图形视为表示虚拟空间图的一种方式,而无需使用太多的交叉点,这对于计算不变性可能是有利的。

We study invariants of virtual graphoids, which are virtual spatial graph diagrams with two distinguished degree-one vertices modulo graph Reidemeister moves applied away from the distinguished vertices. Generalizing previously known results, we give topological interpretations of graphoids. There are several applications to virtual graphoid theory. First, virtual graphoids are suitable objects for studying knotted graphs with open ends arising in proteins. Second, a virtual graphoid can be thought of as a way to represent a virtual spatial graph without using as many crossings, which can be advantageous for computing invariants.

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