An O(n3/2 √log(n)) algorithm for sorting by reciprocal translocations

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Abstract

We prove that sorting by reciprocal translocations can be done in O(n 3/2 √log(n)) for an n-gene genome. Our algorithm is an adaptation of the Tannier et, al algorithm for sorting by reversals. This improves over the O(n3) algorithm for sorting by reciprocal translocations given by Bergeron et al. © Springer-Verlag Berlin Heidelberg 2006.

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Ozery-Flato, M., & Shamir, R. (2006). An O(n3/2 √log(n)) algorithm for sorting by reciprocal translocations. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4009 LNCS, pp. 258–269). Springer Verlag. https://doi.org/10.1007/11780441_24

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