Geodesic
Permutations defining convex permutominoes
Journal of integer sequences, Tome 10 (2007) no. 9
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 
@article{JIS_2007__10_9_a4,
     author = {Bernini,  Antonio and Disanto,  Filippo and Pinzani,  Renzo and Rinaldi,  Simone},
     title = {Permutations defining convex permutominoes},
     journal = {Journal of integer sequences},
     year = {2007},
     volume = {10},
     number = {9},
     zbl = {1144.05017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2007__10_9_a4/}
}
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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/