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Rangierkomplexität von permutationen
Authors:Dr Hanns -Jörg Stoß
Affiliation:(1) Universität Konstanz Fachbereich Mathematik, Jacob-Burckardt-Str., D-7750 Konstanz, Bundesrepublik Deutschland
Abstract:Summary We define a measure of complexity for 
$$\mathfrak{S}_n $$
(the group of permutations ofn elements). We thus obtain non trivial lower bounds for the number of Turing steps necessary for applaying a permutationpgrepsi 
$$\mathfrak{S}_n $$
to a tape withn entries. Transposing annxn matrix, for example, stored linearly needs at leastCn 2 Ign steps.
Keywords:
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