Sorting circular permutations by bounded transpositions.

Abstract:

:A k-bounded (k ≥ 2) transposition is an operation that switches two elements that have at most k - 2 elements in between. We study the problem of sorting a circular permutation π of length n for k = 2, i.e., adjacent swaps and k = 3, i.e., short swaps. These transpositions mimic microrearrangements of gene order in viruses and bacteria. We prove a (1/4)n (2) lower bound for sorting by adjacent swaps. We show upper bounds of (5/32)n (2) + O(n log n) and (7/8)n + O(log n) for sequential and parallel sorting, respectively, by short swaps.

journal_name

Adv Exp Med Biol

authors

Feng X,Chitturi B,Sudborough H

doi

10.1007/978-1-4419-5913-3_81

subject

Has Abstract

pub_date

2010-01-01 00:00:00

pages

725-36

eissn

0065-2598

issn

2214-8019

journal_volume

680

pub_type

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