Radio number of Hamming graphs of diameter 3

Jason DeVito, Amanda Niedzialomski, Jennifer Warren

For $G$ a simple, connected graph, a vertex labeling $f:V(G)\to {\mathbb{Z}}_{+}$ is called a $\text{radio labeling of}$ $G$ if it satisfies $|f(u)-f(v)|\geq \operatorname{di…