CAJ | 학술논문

主要研究在纽结和链环投影图上做一次Wendt操作对纽结和链环的影响,以及其与解结数和交叉指标的关系.定义了与纽结解结数密切相关的一个概念—纽结投影图的拟解结数和2分支链环投影图的拟分拆数,分别计算了纽结表中交叉指标不超过9的纽结和交叉指标不超过8的2分支链环的拟解结数和拟分拆数,并总结了若干经验规律.
주요연구재뉴결화련배투영도상주일차Wendt조작대뉴결화련배적영향,이급기여해결수화교차지표적관계.정의료여뉴결해결수밀절상관적일개개념—뉴결투영도적의해결수화2분지련배투영도적의분탁수,분별계산료뉴결표중교차지표불초과9적뉴결화교차지표불초과8적2분지련배적의해결수화의분탁수,병총결료약간경험규률.
This paper studies the effect of a single Wendt's operation on knot and link diagrams and its relation with the unknotting number and the crossing number. It introduces two notions for link dia-grams,namely Quasi-unknotting number and Quasi-splitting number,calculates these two numbers for knots with crossing number no more than 9 and 2-comonent links with crossing number no more than 8,respec-tively,and finds some empirical regularities.