On Sorting by Bounded Block Interchanges

Swapnoneel Roy

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arXiv · 1102.3245

On Sorting by Bounded Block Interchanges

Swapnoneel Roy

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Abstract

In this work, we consider a restricted case of the well studied Sorting by Block Interchanges problem. We put an upper bound k on the length of the blocks (substrings) to be interchanged at each step. We call the problem Sorting by k-Block Interchanges. We show the problem to be NP-Hard for k=1. The problem is easy for k=n-1, where n is the length of the permutation (the unbounded case). Sorting by Block Interchanges is a very important and widely studied problem with applications in comparative genomics.

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BibTeX RIS

Swapnoneel Roy. 2011-10-05. On Sorting by Bounded Block Interchanges. https://arxiv.org/abs/1102.3245

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