Section: New Results

Length and symmetry on the sorting by weighted inversions problem

Large-scale mutational events that occur when stretches of DNA sequence move throughout genomes are called genome rearrangement events. In bacteria, inversions are one of the most frequently observed rearrangements. In some bacterial families, inversions are biased in favour of symmetry as shown by recent research. In addition, several results suggest that short segment inversions are more frequent in the evolution of microbial genomes. Despite the fact that symmetry and length of the reversed segments seem very important, they have not been considered together in any problem in the genome rearrangement field. We defined the problem of sorting genomes (or permutations) using inversions whose costs are assigned based on their lengths and asymmetries [27] . We presented five procedures and assessed their performance on small sized permutations. The ideas presented in the paper provide insights to solve the problem and set the stage for a proper theoretical analysis.