Abstract
The Maximum Agreement Forest problem has been extensively studied in phylogenetics. Most previous work is on two binary phylogenetic trees. In this paper, we study a generalized version of the problem: the Maximum Agreement Forest problem on multiple rooted multifurcating phylogenetic trees, from the perspective of parameterized algorithms. By taking advantage of a new branch-and-bound strategy, a parameterized algorithm with running time O(2.42km3n4) is presented for the problem, assuming that all polytomies in the multifurcating phylogenetic trees are hard.
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