Transforming cabbage into turnip: polynomial algorithm for sorting signed permutations by reversals
STOC '95 Proceedings of the twenty-seventh annual ACM symposium on Theory of computing
A Very Elementary Presentation of the Hannenhalli-Pevzner Theory
CPM '01 Proceedings of the 12th Annual Symposium on Combinatorial Pattern Matching
Advances on sorting by reversals
Discrete Applied Mathematics
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
Bioinformatics
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Traditional algorithms for sorting permutations by signed reversals output one solution while the solution space can be huge. The enumeration of traces of solutions for this problem can be a powerful tool to help the study of rear-rangement scenarios which only include reversals. Through the analysis of the permutations of six members of the Rickettsia genus in relation with their common ancestral, we were able to produce all possible scenarios and infer some chronological order over the reversal events that occurred during the evolution of these species. Our results matched with the scenario proposed in the literature.