Polyominoes determined by permutations

I. Fanti 1 A. Frosini 2 E. Grazzini 1 R. Pinzani 1 S. Rinaldi 2
1 DSI - Dipartimento di Sistemi e Informatica
2 DSMI - Department of Mathematics and Computer Science / Dipartimento di Scienze Matematiche e Informatiche "Roberto Magari"
Abstract : In this paper we consider the class of $\textit{permutominoes}$, i.e. a special class of polyominoes which are determined by a pair of permutations having the same size. We give a characterization of the permutations associated with convex permutominoes, and then we enumerate various classes of convex permutominoes, including parallelogram, directed-convex, and stack ones.
Keywords : enumeration of combinatorial objects convex polyominoes permutations
Type de document :
Communication dans un congrès
Chassaing, Philippe and others. Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities, 2006, Nancy, France. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AG, Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities, pp.381-390, 2006, DMTCS Proceedings
Liste complète des métadonnées

Littérature citée [4 références]  Voir  Masquer  Télécharger
https://hal.inria.fr/hal-01184680
Contributeur : Coordination Episciences Iam <>
Soumis le : lundi 17 août 2015 - 14:22:37
Dernière modification le : vendredi 22 décembre 2017 - 15:04:01
Document(s) archivé(s) le : mercredi 18 novembre 2015 - 10:43:45

Fichier

dmAG0130.pdf
Fichiers éditeurs autorisés sur une archive ouverte

Identifiants

  • HAL Id : hal-01184680, version 1

Collections

INSMI | TDS-MACS

Citation

I. Fanti, A. Frosini, E. Grazzini, R. Pinzani, S. Rinaldi. Polyominoes determined by permutations. Chassaing, Philippe and others. Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities, 2006, Nancy, France. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AG, Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities, pp.381-390, 2006, DMTCS Proceedings. 〈hal-01184680〉

Exporter

BibTeX TEI DC DCterms EndNote

Partager

Métriques

Consultations de la notice

47

Téléchargements de fichiers

98

Contact


archive-ouverte@inria.fr