The Average Number of Block Interchanges Needed to Sort A Permutation and a recent result of Stanley

Mathematics – Combinatorics

Scientific paper

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8 pages, 4 figures

Scientific paper

We use an interesting result of probabilistic flavor concerning the product
of two permutations consisting of one cycle each to find an explicit formula
for the average number of block interchanges needed to sort a permutation of
length $n$.

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