The $\alpha$-representation for Tait coloring and sums over spanning trees

Ilyas Kalimullin, Eduard Lerner

Consider a connected pseudograph $H$ such that each edge is associated with weight $x_e$, $x_e\in {\mathbb{F}}_3$; $\mathcal{T}(H)$ is the set of spanning trees of graph $H$. Assume…