Kauffman-Vogel Polynomials of 4-Valent Graphs

本文研究了纽结四价图的Kauffman-Vogel多项式，它是以 A,B,a 为变元的三元有理多项式。且在 a=A ， B= A −1 情况下运用归纳法和双曲定向法计算了几类四价图和纽结的Kauffman-Vogel多项式。In this paper, we study the Kauffman-Vogel polynomials of knot 4-valent graphs, which are rational polynomials with A,B,a as variables. Then we calculate Kauffman-Vogel polynomials of some classes of 4-valent graphs and knots by induction and hyperbolic orientation in the case of a=A , B= A −1 .