Upper bounds for inverse domination in graphs

In any graph $G$, the domination number $\gamma(G)$ is at most the independence number $\alpha(G)$. The \emph{Inverse Domination Conjecture} says that, in any isolate-free $G$, there exists pair of vertex-disjoint dominating sets $D, D'$ with $|D|=\gamma(G)$ and $|D'| \leq \alpha(G)$. Here...

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Bibliographic Details
Main Authors: Elliot Krop, Jessica McDonald, Gregory Puleo
Format: Article
Language:English
Published: Georgia Southern University 2021-08-01
Series:Theory and Applications of Graphs
Subjects:
Online Access:https://digitalcommons.georgiasouthern.edu/tag/vol8/iss2/5