一类花图对应链环的Jones多项式  

Jones Polynomial of Links Corresponding to a Class of Flower Graph

作　　者：周雪 

机构地区：[1]辽宁师范大学数学学院,辽宁 大连

出　　处：《应用数学进展》2023年第9期4013-4023,共11页Advances in Applied Mathematics

摘　　要：本文研究了各边均为正号的花图F3xn对应链环的Jones多项式。Tutte和Jones多项式之间有一个显著的联系,首先计算得到花图F3xn的Tutte多项式,再根据Tutte多项式与Jones多项式之间的关系计算得到这类花图对应链环的Jones多项式。In this paper, the Jones polynomial of the flower graph F3xn corresponding to the chain link with a positive sign on all sides is studied. There is a significant connection between Tutte and Jones poly-nomials, first calculating the Tutte polynomial of the flower graph F3xn, and then calculating the Jones polynomial corresponding to the chain link of this type of flower graph according to the rela-tionship between the Tutte polynomial and the Jones polynomial.

关 键 词：Tutte多项式 JONES多项式 

分 类 号：O15[理学—数学]