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An improved algorithm for sorting by block-interchanges based on permutation groups
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An improved algorithm for sorting by block-interchanges based on permutation groups

Yen-Lin Huang, Cheng-Chen Huang, Chuan Yi TangChin Lung Lu
Information Processing Letters, 卷.110(8-9), 頁碼.345-350
04/2010

摘要

Algorithm Block-interchange Data structure Generalized transposition Genome rearrangement Permutation group Permutation tree Information Systems Computer Science Applications Signal Processing Theoretical Computer Science
Given a chromosome represented by a permutation of genes, a block-interchange is proposed as a generalized transposition that affects the chromosome by swapping two non-intersecting segments of genes. The problem of sorting by block-interchanges is to find a minimum series of block-interchanges for sorting one chromosome into another. In this paper, we present an O (n + δ log δ) time algorithm for solving the problem of sorting by block-interchanges, which improves a previous algorithm of O (δ n) time proposed by Lin et al. (2005) [14], where n is the number of genes and δ is the minimum number of block-interchanges required to sort a chromosome. © 2010 Elsevier B.V. All rights reserved.

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