Counting Polyominoes on Twisted Cylinders

Abstract : We improve the lower bounds on Klarner's constant, which describes the exponential growth rate of the number of polyominoes (connected subsets of grid squares) with a given number of squares. We achieve this by analyzing polyominoes on a different surface, a so-called $\textit{twisted cylinder}$ by the transfer matrix method. A bijective representation of the "states'' of partial solutions is crucial for allowing a compact representation of the successive iteration vectors for the transfer matrix method.
Type de document :
Communication dans un congrès
Stefan Felsner. 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), 2005, Berlin, Germany. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AE, European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), pp.369-374, 2005, DMTCS Proceedings
Liste complète des métadonnées

Littérature citée [6 références]  Voir  Masquer  Télécharger

https://hal.inria.fr/hal-01184435
Contributeur : Coordination Episciences Iam <>
Soumis le : vendredi 14 août 2015 - 14:58:45
Dernière modification le : dimanche 31 décembre 2017 - 09:44:02
Document(s) archivé(s) le : dimanche 15 novembre 2015 - 11:11:28

Fichier

dmAE0171.pdf
Fichiers éditeurs autorisés sur une archive ouverte

Identifiants

  • HAL Id : hal-01184435, version 1

Collections

Citation

Gill Barequet, Micha Moffie, Ares Ribó, Günter Rote. Counting Polyominoes on Twisted Cylinders. Stefan Felsner. 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), 2005, Berlin, Germany. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AE, European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), pp.369-374, 2005, DMTCS Proceedings. 〈hal-01184435〉

Partager

Métriques

Consultations de la notice

329

Téléchargements de fichiers

119