Veröffentlichung

Titel:

The Number of Convex Polyominoes with Given Height and Width

AutorInnen:

Kevin Buchin
Man-Kwun Chiu
Stefan Felsner
Günter Rote
André Schulz

Kategorie:

Sonstiges

erschienen in:

(to appear)

Abstract:

We give a new combinatorial proof for the number of convex polyominoes whose minimum enclosing rectangle has given dimensions. We also count the subclass of these polyominoes that contain the lower left corner of the enclosing rectangle (directed polyominoes). We indicate how to sample random polyominoes in these classes. As a side result, we calculate the first and second moments of the number of common points of two monotone lattice paths between two given points.

Download:

arXiv [ PDF]