From the Square-Energy Conjecture to Signed Graphs: Sharp Bounds for Positive Square Energy

Fu-Tao Hu, Xiao Han

Let $\Sigma =(G,\sigma )$ be a connected signed graph of order $n$ and size $m$, and let $s^{+}(\Sigma )$ and $s^{-}(\Sigma )$ denote the sums of the squares of its positive and negative adjacency eigenva…