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arxiv: 1208.3801 · v3 · pith:MFXT2H4Xnew · submitted 2012-08-19 · 🧮 math.CO

Metric dimension for random graphs

classification 🧮 math.CO
keywords dimensionmetricverticesgraphrandomdetermineddistancesgraphs
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The metric dimension of a graph $G$ is the minimum number of vertices in a subset $S$ of the vertex set of $G$ such that all other vertices are uniquely determined by their distances to the vertices in $S$. In this paper we investigate the metric dimension of the random graph $G(n,p)$ for a wide range of probabilities $p=p(n)$.

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