Supersaturation: Cliques and Positive Square Energy

Abhay Jayarajan, M. Rajesh Kannan, Shivaramakrishna Pragada

Let $G$ be a simple graph of order $n$ and let $k_r$ denote the number of unlabeled copies of $K_r$ in $G$. Let $s^{+}$ denote the sum of the squares of the positive adjacency eigenv…