Localized Turán-type inequalities for $Q$-index

M. Rajesh Kannan, Hitesh Kumar, Shivaramakrishna Pragada

For a connected graph \(G\), let $q(G)$ denote the $Q$-index of $G$, i.e., the largest eigenvalue of its signless Laplacian matrix. Abreu and Nikiforov (2013) showed that \[ q(G) \…