Abstract
Given two rooted binary phylogenetic trees with identical leaf label-set, the Maximum Agreement Forest (Maf) problem asks for a largest common subforest of these two trees. This problem is known to be NP-complete and MAX SNP-hard, and the previously best approximation algorithm for this problem has a ratio 3. In this paper, we present an improved 2.5-approximation algorithm for the Maf problem on two rooted binary phylogenetic trees.
This work is supported by the National Natural Science Foundation of China under Grants (61103033, 61173051, 61232001), and Hunan Provincial Innovation Foundation For Postgraduate (CX2013B073).
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Shi, F., You, J., Feng, Q. (2014). Improved Approximation Algorithm for Maximum Agreement Forest of Two Trees. In: Chen, J., Hopcroft, J.E., Wang, J. (eds) Frontiers in Algorithmics. FAW 2014. Lecture Notes in Computer Science, vol 8497. Springer, Cham. https://doi.org/10.1007/978-3-319-08016-1_19
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DOI: https://doi.org/10.1007/978-3-319-08016-1_19
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