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arXiv · 0910.3292

The 1.375 Approximation Algorithm for Sorting by Transpositions Can Run in $O(n\log n)$ Time

Jesun Sahariar Firoz·Masud Hasan·Ashik Zinnat Khan·M. Sohel Rahman
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Abstract

Sorting a Permutation by Transpositions (SPbT) is an important problem in Bioinformtics. In this paper, we improve the running time of the best known approximation algorithm for SPbT. We use the permutation tree data structure of Feng and Zhu and improve the running time of the 1.375 Approximation Algorithm for SPbT of Elias and Hartman to $O(n\log n)$. The previous running time of EH algorithm was $O(n^2)$.

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Jesun Sahariar Firoz, Masud Hasan, Ashik Zinnat Khan, M. Sohel Rahman. 2009-10-17. The 1.375 Approximation Algorithm for Sorting by Transpositions Can Run in $O(n\log n)$ Time. https://arxiv.org/abs/0910.3292

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