%0 Journal Article
%T Consensus Tree Under the Ancestor-Descendant Distance is NP-Hard.
%A Qi Y
%A El-Kebir M
%J J Comput Biol
%V 31
%N 1
%D 2024 01 28
%M 38010616
%F 1.549
%R 10.1089/cmb.2023.0262
%X Due to uncertainty in tumor phylogeny inference from sequencing data, many methods infer multiple, equally plausible phylogenies for the same cancer. To summarize the solution space T of tumor phylogenies, consensus tree methods seek a single best representative tree S under a specified pairwise tree distance function. One such distance function is the ancestor-descendant (AD) distance [Formula: see text] , which equals the size of the symmetric difference of the transitive closures of the edge sets [Formula: see text] and [Formula: see text] . Here, we show that finding a consensus tree S for tumor phylogenies T that minimizes the total AD distance [Formula: see text] is NP-hard.