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The Cartographer
A Duality Based 2-Approximation Algorithm for Maximum Agreement Forest
November 18, 2015 Β· Declared Dead Β· π Mathematical programming
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Authors
Frans Schalekamp, Anke van Zuylen, Suzanne van der Ster
arXiv ID
1511.06000
Category
cs.DS: Data Structures & Algorithms
Citations
9
Venue
Mathematical programming
Last Checked
4 months ago
Abstract
We give a 2-approximation algorithm for the Maximum Agreement Forest problem on two rooted binary trees. This NP-hard problem has been studied extensively in the past two decades, since it can be used to compute the Subtree Prune-and-Regraft (SPR) distance between two phylogenetic trees. Our result improves on the very recent 2.5-approximation algorithm due to Shi, Feng, You and Wang (2015). Our algorithm is the first approximation algorithm for this problem that uses LP duality in its analysis.
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