On the Longest Spanning Tree with Neighborhoods
نویسندگان
چکیده
We study a maximization problem for geometric network design. Given a set of n compact neighborhoods in R, 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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عنوان ژورنال:
- CoRR
دوره abs/1712.03297 شماره
صفحات -
تاریخ انتشار 2017