Variation in $\hat{I}\pm$ trace norm of a digraph by deletion of a vertex or an arc and its applications

Mushtaq A. Bhat, Peer Abdul Manan

Let $D$ be a digraph of order $n$ with adjacency matrix $A(D)$. For $\hat{I}\pm \in [0,1)$, the $A_{\hat{I}}\pm$ matrix of $D$ is defined as $A_{\hat{I}}\pm (D)=\hat{I}\pm \hat{I}{”}^{+}(D)+(1-\hat{I}\pm )A(D)$, where $Δ^{+}(D)=\mbox{di…