Improved Total Domination and Total Roman Domination in Unit Disk Graphs

Sasmita Rout, Gautam Kumar Das

Let $G=(V,E)$ be a simple undirected graph with no isolated vertex. A set $D_t\subseteq V$ is a total dominating set of $G$ if $(i)$ $D_t$ is a dominating set, and $(ii)$ the set…