A characterization of trees with equal 2-domination and 2-independence numbers

A set $S$ of vertices in a graph $G$ is a $2$-dominating set if every vertex of $G$ not in $S$ is adjacent to at least two vertices in $S$, and $S$ is a $2$-independent set if every vertex in $S$ is adjacent to at most one vertex of $S$. The $2$-domination number $\gamma_2(G)$ is the minimum cardina...

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Bibliographic Details
Main Authors: Christoph Brause, Michael A. Henning, Marcin Krzywkowski
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2017-03-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/1443/pdf