Radio Number of Hamming Graphs of Diameter 3

For $G$ a simple, connected graph, a vertex labeling $f:V(G)\to \Z_+$ is called a \emph{radio labeling of $G$} if it satisfies $|f(u)-f(v)|\geq\diam(G)+1-d(u,v)$ for all distinct vertices $u,v\in V(G)$. The \emph{radio number of $G$} is the minimal span over all radio labelings of $G$. If a bijectiv...

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Bibliographic Details
Main Authors: Jason DeVito, Amanda Niedzialomski, Jennifer Warren
Format: Article
Language:English
Published: Georgia Southern University 2022-07-01
Series:Theory and Applications of Graphs
Subjects:
Online Access:https://digitalcommons.georgiasouthern.edu/tag/vol9/iss2/10