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Alexander polynomial and spanning trees
International Journal of Mathematics ( IF 0.6 ) Pub Date : 2021-07-08 , DOI: 10.1142/s0129167x21500737
Yuanyuan Bao 1 , Zhongtao Wu 2
Affiliation  

Inspired by the combinatorial constructions in earlier work of the authors that generalized the classical Alexander polynomial to a large class of spatial graphs with a balanced weight on edges, we show that the value of the Alexander polynomial evaluated at t = 1 gives the weighted number of the spanning trees of the graph.

中文翻译:

亚历山大多项式和生成树

受作者早期工作中的组合结构的启发,将经典亚历山大多项式推广到一大类边缘权重平衡的空间图,我们表明亚历山大多项式的值评估为 = 1给出图的生成树的加权数.
更新日期:2021-07-08
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