𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A tiling system for the class of -convex polyominoes

✍ Scribed by Brocchi, S.; Frosini, A.; Pinzani, R.; Rinaldi, S.

Book ID
122988403
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
513 KB
Volume
475
Category
Article
ISSN
0304-3975

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Enumeration of Symmetry Classes of Conve
Enumeration of Symmetry Classes of Convex Polyominoes in the Square Lattice
✍ P. Leroux; E. Rassart; A. Robitaille πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 544 KB

This paper concerns the enumeration of rotation-type and congruence-type convex polyominoes on the square lattice. These can be defined as orbits of the Ε½ groups ᑝ , of rotations, and α‘ž , of symmetries, of the square, acting on transla-4 4 . tion-type polyominoes. By virtue of Burnside's lemma, it i

The generating function of convex polyom
The generating function of convex polyominoes: The resolution of a q-differential system
✍ Mireille Bousquet-MΓ©lou; Jean-Marc FΓ©dou πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 825 KB

We give a 'beautiful' though complex -formula for the generating function Z of convex polyominoes, according to their area, width and height. Our method consists in solving a linear q-differential system of size three, which was derived two years ago by encoding convex polyominoes with the words of

A new way of counting the column-convex
A new way of counting the column-convex polyominoes by perimeter
✍ Svjetlan FeretiΔ‡ πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 447 KB

We introduce a new class of plane figures: the sequences of tailed column-convex polyominoes (for short: stapoes). Let G(x, y) and l(x, y) denote the perimeter generating functions for columnconvex polyominoes and stapoes, respectively. It will be clear from the definitions that G(x, y) is a simple