Geodesic
Permutations defining convex permutominoes
Journal of integer sequences, Tome 10 (2007) no. 9.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: A permutomino of size $n$ is a polyomino determined by particular pairs $(\pi _{1}, \pi _{2})$ of permutations of size $n$, such that $\pi _{1}(i) \ne \pi _{2}(i)$ for $1 \le $ i $\le n$. Here we determine the combinatorial properties and, in particular, the characterization for the pairs of permutations defining convex permutominoes.
Classification : 05A15, 05A05
Keywords: permutominoes, polyominoes 
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     author = {Bernini, Antonio and Disanto, Filippo and Pinzani, Renzo and Rinaldi, Simone},
     title = {Permutations defining convex permutominoes},
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Bernini, Antonio; Disanto, Filippo; Pinzani, Renzo; Rinaldi, Simone. Permutations defining convex permutominoes. Journal of integer sequences, Tome 10 (2007) no. 9. http://geodesic.mathdoc.fr/item/JIS_2007__10_9_a4/