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A New Tight Upper Bound on the Transposition Distance
Author(s) -
Anthony Labarre
Publication year - 2005
Publication title -
lecture notes in computer science
Language(s) - English
Resource type - Book series
SCImago Journal Rank - 0.249
H-Index - 400
eISSN - 1611-3349
pISSN - 0302-9743
ISBN - 3-540-29008-7
DOI - 10.1007/11557067_18
Subject(s) - transposition (logic) , permutation (music) , upper and lower bounds , combinatorics , computer science , permutation graph , random permutation , permutation group , class (philosophy) , discrete mathematics , block (permutation group theory) , mathematics , graph , physics , mathematical analysis , artificial intelligence , acoustics
We study the problem of computing the minimal number of adjacent, non-intersecting block interchanges required to transform a permutation into the identity permutation. In particular, we use the graph of a permutation to compute that number for a particular class of permutations in linear time and space, and derive a new tight upper bound on the so-called transposition distance. © Springer-Verlag Berlin Heidelberg 2005.SCOPUS: cp.kinfo:eu-repo/semantics/publishe

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