5 years ago

Algorithms for the Majority Rule (+) Consensus Tree and the Frequency Difference Consensus Tree

Chuanqi Shen, Wing-Kin Sung, Ramesh Rajaby, , Jesper Jansson
This article presents two new deterministic algorithms for constructing consensus trees. Given an input of $k$  phylogenetic trees with identical leaf label sets and $n$  leaves each, the first algorithm constructs the majority rule (+) consensus tree in $O(k n)$ time, which is optimal since the input size is $Omega (k n)$ , and the second one constructs the frequency difference consensus tree in $min lbrace O(k n^{2}), O(k n (k + log ^{2}n))rbrace$ time.
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