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arXiv · 1502.07492

Rainbow domination and related problems on some classes of perfect graphs

Wing-Kai Hon·Ton Kloks·Hsian-Hsuan Liu·Hung-Lung Wang
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Abstract

Let $k \in \mathbb{N}$ and let $G$ be a graph. A function $f: V(G) \rightarrow 2^{[k]}$ is a rainbow function if, for every vertex $x$ with $f(x)=\emptyset$, $f(N(x)) =[k]$. The rainbow domination number $\gamma_{kr}(G)$ is the minimum of $\sum_{x \in V(G)} |f(x)|$ over all rainbow functions. We investigate the rainbow domination problem for some classes of perfect graphs.

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Wing-Kai Hon, Ton Kloks, Hsian-Hsuan Liu, Hung-Lung Wang. 2015-02-26. Rainbow domination and related problems on some classes of perfect graphs. https://arxiv.org/abs/1502.07492

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