## 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05)

### Stefan Felsner (ed.)

### DMTCS Conference Volume AE (2005), pp. 369-374

author: | Gill Barequet, Micha Moffie, Ares Ribó and Günter Rote |
---|---|

title: | Counting Polyominoes on Twisted Cylinders |

keywords: | |

abstract: | We improve the lower bounds on
Klarner's constant, which describes the exponential growth
rate of the number of polyominoes (connected subsets of grid
squares) with a given number of squares. We achieve this by
analyzing polyominoes on a different surface, a so-called
twisted cylinder by the transfer matrix method. A
bijective representation of the ``states'' of partial
solutions is crucial for allowing a compact representation of
the successive iteration vectors for the transfer matrix
method. |

If your browser does not display the abstract correctly (because of the different mathematical symbols) you may look it up in the PostScript or PDF files. | |

reference: | Gill Barequet and Micha Moffie
and Ares Ribó and Günter Rote (2005), Counting
Polyominoes on Twisted Cylinders, in 2005 European
Conference on Combinatorics, Graph Theory and Applications
(EuroComb '05), Stefan Felsner (ed.), Discrete
Mathematics and Theoretical Computer Science Proceedings
AE, pp. 369-374 |

bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |

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Automatically produced on Di Sep 27 10:10:02 CEST 2005 by gustedt