Quadratic form estimations for Hessian matrices of resistance distance and Kirchhoff index of positive-weighted graphs

Yu Li, Lizhu Sun, Changjiang Bu

Let $G^w=(V,E,w)$ be a positive-weighted graph with the weight $w(e)>0$ for all $e\in E$. The weighted graph $G^{\tilde{w}}=(V,E,\tilde{w})$ is called a hyper-dual number…