Characterization of outerplanar graphs with equal 2-domination and domination numbers

A {\em $k$-domination number} of a graph $G$ is minimum cardinality of a $k$-dominating set of $G$, where a subset $S \subseteq V(G)$ is a {\em $k$-dominating set} if each vertex $v\in V(G)\setminus S$ is adjacent to at least $k$ vertices in $S$. It is known that for any graph $G$ with $\Delta(G) \g...

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Bibliographic Details
Main Author: Naoki Matsumoto
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/iss2/1