四价图的Kauffman-Vogel多项式
Kauffman-Vogel Polynomials of 4-Valent Graphs
DOI: 10.12677/aam.2025.144157, PDF,    国家自然科学基金支持
作者: 班子涵, 那欣雨, 冷旭东*：辽宁师范大学数学学院，辽宁 大连
关键词: Kauffman-Vogel多项式；四价图；纽结；Kauffman-Vogel Polynomial； 4-Valent Graph； Knot
摘要: 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。
Abstract: 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 .
文章引用：班子涵, 那欣雨, 冷旭东. 四价图的Kauffman-Vogel多项式[J]. 应用数学进展, 2025, 14(4): 247-255. https://doi.org/10.12677/aam.2025.144157

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