Delta link-homotopy on spatial graphs
Delta link-homotopy on spatial graphs
复制标题
空间图上的 Delta 链接同伦
DOI：
10.5209/rev_rema.2002.v15.n2.16922
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发表时间：
2002
影响因子：
0.8
通讯作者：
Ryo Nikkuni
中科院分区：
文献类型：
--
作者：
Ryo Nikkuni
研究了空间图论中新的等价关系。我们考虑自然推广的δ链接同伦链接，这是一个等价关系产生的δ移动相同的组件和环境的同位素。它们比空间图上的边同伦和顶点同伦更强，而边同伦和顶点同伦是链上的链同伦的自然推广。与空间图上常见的等价关系相联系，利用纽结的Conway多项式的二阶系数和Jones多项式在1处的三阶导数定义了几个不变量.
We study new equivalence relations in spatial graph theory. We consider natural generalizations of delta link-homotopy on links, which is an equivalence relation generated by delta moves on the same component and ambient isotopies. They are stronger than edge-homotopy and vertex-homotopy on spatial graphs which are natural generalizations of link-homotopy on links. Relationship to existing familiar equivalence relations on spatial graphs are stated, and several invariants are defined by using the second coefficient of the Conway polynomial and the third derivative at 1 of the Jones polynomial of a knot.