On the $\mathcal{A}\mathcal{BS}$ spectrum and energy of graphs

Swathi Shetty, B. R. Rakshith, Sayinath Udupa N.

Let ${\eta }_1\ge {\eta }_2\ge \cdots \ge {\eta }_n$ be the eigenavalues of $\mathcal{A}\mathcal{BS}$ matrix. In this paper, we characterize connected graphs with $\mathcal{A}\mathcal{BS}$ eigenvalue ${\eta }_n>-1$. As…