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Longest Common Pattern between two Permutations

Dominique Rossin, Mathilde Bouvel

math.COarXiv:math/0611679

Abstract

In this paper, we give a polynomial (O(n8)) algorithm for finding a longest common pattern between two permutations of size n given that one is separable. We also give an algorithm for general permutations whose complexity depends on the length of the longest simple permutation involved in one of our permutations.

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