The inertia of weighted unicyclic graphs

Guihai Yu, Xiao-Dong Zhang, Lihua Feng

Let $G_w$ be a weighted graph. The \textit{inertia} of $G_w$ is the triple $In(G_w)=(i_{+}(G_w),i_{-}(G_w),$ $i_0(G_w))$, where $i_{+}(G_w),i_{-}(G_w),i_0(G_w)$ are the number of…