On the Approximation Ratio of Algorithms for Sorting by Transpositions without Using Cycle Graphs

  • Gustavo Rodrigues Galvão
  • Zanoni Dias
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7409)


We study the problem of sorting by transpositions, which is related to comparative genomics. Our goal is to determine how good approximation algorithms which do not rely on the cycle graph are when it comes to approximation ratios by implementing three such algorithms. We compare their theoretical approximation ratio to the experimental results obtained by running them for all permutations of up to 13 elements. Our results suggest that the approaches adopted by these algorithms are not promising alternatives in the design of approximation algorithms with low approximation ratios. Furthermore, we prove an approximation bound of 3 for a constrained version of one algorithm, and close a missing gap on the proof for the approximation ratio of another algorithm.


Approximation Algorithm Approximation Ratio Approximation Factor Approximation Guarantee Cycle Graph 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Gustavo Rodrigues Galvão
    • 1
  • Zanoni Dias
    • 1
  1. 1.Institute of ComputingUniversity of CampinasBrazil

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