Some Spectral Properties of the $B_{\hat{I}}\pm$ Matrix of a Graph

Garrett Kepler

Recently, Samanta et al. introduced a unifying perspective to common graph-associated matrices through the matrix $B_{\hat{I}}\pm (G)=\hat{I}\pm A(G)+(1-\hat{I}\pm )L(G)$ where $\hat{I}\pm \in [0,1]$. We resolve an ope…