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
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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〉

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