Relations between edge removing and edge subdivision concerning domination number of a graph

Magdalena Lemańska, Joaquín Tey, Rita Zuazua

Let $e$ be an edge of a connected simple graph $G$. The graph obtained by removing (subdividing) an edge $e$ from $G$ is denoted by $G-e$ ($G_e$). As usual, $\gamma (G)$ denotes the domi…