Introduction to total coalitions in graphs

Saeid Alikhani, Davood Bakhshesh, Hamidreza Golmohammadi

Let $G$ be a graph with vertex set $V$. Two disjoint sets $V_1,V_2\subseteq V$ are called a total coalition in $G$, if neither $V_1$ and $V_2$ is a total dominating set of $G$ but…