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Edit distance between unlabeled ordered trees

Anne MicheliDominique Rossin — 2006

RAIRO - Theoretical Informatics and Applications

There exists a bijection between one-stack sortable permutations (permutations which avoid the pattern ) and rooted plane trees. We define an edit distance between permutations which is consistent with the standard edit distance between trees. This one-to-one correspondence yields a polynomial algorithm for the subpermutation problem for pattern-avoiding permutations. Moreover, we obtain the generating function of the edit distance between ordered unlabeled trees and some special ones. For the...

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