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Diagonalization and rationalization of algebraic Laurent series

Boris Adamczewski, Jason P. Bell (2013)

Annales scientifiques de l'École Normale Supérieure

We prove a quantitative version of a result of Furstenberg [20] and Deligne [14] stating that the diagonal of a multivariate algebraic power series with coefficients in a field of positive characteristic is algebraic. As a consequence, we obtain that for every prime p the reduction modulo p of the diagonal of a multivariate algebraic power series f with integer coefficients is an algebraic power series of degree at most p A and height at most A p A , where A is an effective constant that only depends on...

Discrete excursions.

Bousquet-Mélou, Mireille (2006)

Séminaire Lotharingien de Combinatoire [electronic only]

ECO species.

Ferrari, Luca, Leroux, Pierre (2009)

Séminaire Lotharingien de Combinatoire [electronic only]

Edit distance between unlabeled ordered trees

Anne Micheli, Dominique Rossin (2006)

RAIRO - Theoretical Informatics and Applications

There exists a bijection between one-stack sortable permutations (permutations which avoid the pattern (231)) 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 (231) pattern-avoiding permutations. Moreover, we obtain the generating function of the edit distance between ordered unlabeled trees and some special ones. For...

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