Upper broadcast domination of toroidal grids and a classification of diametrical trees

Erik Insko, Bethany Kubik, Candice Price

A broadcast on a graph $G=(V,E)$ is a function $f:V\to \{0,1,\dots ,\text{diam}(G)\}$ satisfying $f(v)\le e(v)$ for all $v\in V$, where $e(v)$ denotes the eccentricit…