Reconstruction of L-convex Polyominoes
β Scribed by Giusi Castiglione; Antonio Restivo
- Book ID
- 104444371
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 147 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1571-0653
No coin nor oath required. For personal study only.
β¦ Synopsis
We introduce the family of L-convex polyominoes, a subset of convex polyominoes whose elements satisfy a special convexity property. We develop an algorithm that reconstructs an L-convex polyomino from the set of its maximal L-polyominoes.
π SIMILAR VOLUMES
We give a new recursion formula for the number of convex polyominoes with fixed perimeter. From this we derive a bijection between an interval of natural numbers and the polyominoes of given perimeter. This provides a possibility to generate such polyominoes at random in polynomial time. Our method
Horizontally convex polyominoes are finite discrete sets of simply connected elementary cells, such that all of their rows are connected. The problem is to find the best matching between two horizontally convex polyominoes. So, we look for a position of the second polyomino relative to the first one