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arXiv · 2001.10502

Computing the Fr\'echet distance of trees and graphs of bounded tree width

Maike Buchin·Amer Krivošija·Alexander Neuhaus
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Abstract

We give algorithms to compute the Fr\'echet distance of trees and graphs with bounded tree width. Our algorithms run in $O(n^2)$ time for trees of bounded degree, and $O(n^2\sqrt{n \log n})$ time for trees of arbitrary degree. For graphs of bounded tree width we show one can compute the Fr\'echet distance in FPT (fixed parameter tractable) time.

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Maike Buchin, Amer Krivošija, Alexander Neuhaus. 2020-01-28. Computing the Fr\'echet distance of trees and graphs of bounded tree width. https://arxiv.org/abs/2001.10502

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