论文标题

亚历山大多项式和跨越树木

Alexander polynomial and spanning trees

论文作者

Bao, Yuanyuan, Wu, Zhongtao

论文摘要

受作者早期作品中的组合结构的启发,将经典的亚历山大多项式概括为边缘平衡重量的大量空间图,我们表明,亚历山大多项式评估在$ t = 1 $中的值给出了图表的加权树的加权数。

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.

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