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arXiv · 1608.04456

An Improved Algorithm for Diameter-Optimally Augmenting Paths in a Metric Space

Haitao Wang
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Abstract

Let $P$ be a path graph of $n$ vertices embedded in a metric space. We consider the problem of adding a new edge to $P$ such that the diameter of the resulting graph is minimized. Previously (in ICALP 2015) the problem was solved in $O(n\log^3 n)$ time. In this paper, based on new observations and different algorithmic techniques, we present an $O(n\log n)$ time algorithm.

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Haitao Wang. 2016-08-16. An Improved Algorithm for Diameter-Optimally Augmenting Paths in a Metric Space. https://arxiv.org/abs/1608.04456

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