Asymptotics of Z-convex polyominoes

AJ Guttmann, P Massazza - RAIRO-Theoretical Informatics and …, 2024 - rairo-ita.org
The degree of convexity of a convex polyomino P is the smallest integer k such that any two
cells of P can be joined by a monotone path inside P with at most k changes of direction. In …

Hole-free partially directed animals

P Massazza - Developments in Language Theory: 23rd International …, 2019 - Springer
We consider the class of hole-free partially directed animals. This is the class of all
polyominoes P such that every cell of P can be reached from any cell in the first column of P …

A Dynamical System Approach to Polyominoes Generation

P Massazza - Fundamenta Informaticae, 2021 - content.iospress.com
We describe a method which exploits discrete dynamical systems to generate suitable
classes of polyominoes. We apply the method to design an algorithm that uses O (n) space …

Partially Directed Animals with a Bounded Number of Holes

V Dorigatti, P Massazza - … and Automata Theory and Applications: 15th …, 2021 - Springer
We address the problem of the exhaustive generation of a particular class of polyominoes,
corresponding to partially directed animals with a bounded number of holes. We apply an …