On the edge reconstruction of the second immanantal polynomials of undirected graph and digraph

Tingzeng Wu, Yafan Geng, Hong-Jian Lai

Let $M=(m_{ij})$ be an $n\times n$ matrix. The second immanant of matrix $M$ is defined by \begin{eqnarray*} d_{2}(M)=\sum_{σ\in S_{n}}χ_{2}(σ)\prod_{s=1}^{n}m_{sσ(s)}, \end{eqnarr…