Alexander polynomial and spanning trees

Yuanyuan Bao; Zhongtao Wu

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arXiv · 2007.03826

Alexander polynomial and spanning trees

Yuanyuan Bao·Zhongtao Wu

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Abstract

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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Yuanyuan Bao, Zhongtao Wu. 2020-07-07. Alexander polynomial and spanning trees. https://arxiv.org/abs/2007.03826

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