Abstract
In the median problem we are given a set of three or more genomes and want to find a new genome minimizing the sum of pairwise distances between it and the given genomes. For almost all rearrangement operations the median problem is NP-hard. We study the median problem under a restricted rearrangement measure called c4-distance, which is closely related to breakpoint and DCJ distances. We propose two algorithms for its construction, one exact ILP-based and a combinatorial heuristic, and perform experiments on simulated data.
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