Disjoint Dominating Sets with a Perfect Matching

William F. Klostermeyer, Margaret-Ellen Messinger, Alejandro Angeli Ayello

In this paper, we consider dominating sets $D$ and $D^{\prime }$ such that $D$ and $D^{\prime }$ are disjoint and there exists a perfect matching between them. Let $D{D}_{\text{m}}(G)$ denote the ca…