An Optimal Algorithm for Building the Majority Rule Consensus Tree

A deterministic algorithm for building the majority rule consensus tree of an input collection of conflicting phylogenetic trees with identical leaf labels is presented. Its worst-case running time is O(nk), where n is the size of the leaf label set and k is the number of input phylogenetic trees. This is optimal since the input size is Ω(nk). Experimental results show that the algorithm is fast in practice.

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