A code for square permutations and convex permutominoes [article]

Enrica Duchi
2019 arXiv   pre-print
In this article we consider square permutations, a natural subclass of permutations defined in terms of geometric conditions, that can also be described in terms of pattern avoiding permutations, and convex permutoninoes, a related subclass of polyominoes. While these two classes of objects arised independently in various contexts, they play a natural role in the description of certain random horizontally and vertically convex grid configurations. We propose a common approach to the enumeration
more » ... of these two classes of objets that allows us to explain the known common form of their generating functions, and to derive new refined formulas and linear time random generation algorithms for these objects and the associated grid configurations.
arXiv:1904.02691v3 fatcat:fdf5s7zngvhx7dtywxalw562zy