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arXiv · 0908.2883

Vertices in all minimum paired-dominating sets of block graphs

Lei Chen·Changhong Lu·Zhenbing Zeng
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Abstract

Let $G=(V,E)$ be a simple graph without isolated vertices. A set $S\subseteq V$ is a paired-dominating set if every vertex in $V-S$ has at least one neighbor in $S$ and the subgraph induced by $S$ contains a perfect matching. In this paper, we present a linear-time algorithm to determine whether a given vertex in a block graph is contained in all its minimum paired-dominating sets.

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Lei Chen, Changhong Lu, Zhenbing Zeng. 2009-08-20. Vertices in all minimum paired-dominating sets of block graphs. https://arxiv.org/abs/0908.2883

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