English

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

Data Structures and Algorithms 2009-10-20 v1 Discrete Mathematics

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(nlogn)O(n\log n). The previous running time of EH algorithm was O(n2)O(n^2).

Cite

@article{arxiv.0910.3292,
  title  = {The 1.375 Approximation Algorithm for Sorting by Transpositions Can Run in $O(n\log n)$ Time},
  author = {Jesun Sahariar Firoz and Masud Hasan and Ashik Zinnat Khan and M. Sohel Rahman},
  journal= {arXiv preprint arXiv:0910.3292},
  year   = {2009}
}

Comments

5 pages

R2 v1 2026-06-21T13:59:38.563Z