Lower Bounds for the Total Distance $k$-Domination Number of a Graph

For $k \geq 1$ and a graph $G$ without isolated vertices, a \emph{total distance $k$-dominating set} of $G$ is a set of vertices $S \subseteq V(G)$ such that every vertex in $G$ is within distance $k$ to some vertex of $S$ other than itself. The \emph{total distance $k$-domination number} of $G$ is...

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Bibliographic Details
Main Author: Randy R. Davila
Format: Article
Language:English
Published: Georgia Southern University 2025-05-01
Series:Theory and Applications of Graphs
Subjects:
Online Access:https://digitalcommons.georgiasouthern.edu/tag/vol12/iss1/6/
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