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arXiv · 1712.03297

On the Longest Spanning Tree with Neighborhoods

Ke Chen·Adrian Dumitrescu
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Abstract

We study a maximization problem for geometric network design. Given a set of $n$ compact neighborhoods in $\mathbb{R}^d$, select a point in each neighborhood, so that the longest spanning tree on these points (as vertices) has maximum length. Here we give an approximation algorithm with ratio $0.511$, which represents the first, albeit small, improvement beyond $1/2$. While we suspect that the problem is NP-hard already in the plane, this issue remains open.

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BibTeXRIS

Ke Chen, Adrian Dumitrescu. 2020-04-29. On the Longest Spanning Tree with Neighborhoods. https://arxiv.org/abs/1712.03297

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