Enumeration of Symmetry Classes of Convex Polyominoes in the Square Lattice *

@inproceedings{Leroux1998EnumerationOS,
  title={Enumeration of Symmetry Classes of Convex Polyominoes in the Square Lattice *},
  author={Pierre Leroux and Etienne Rassart and Arnaud Robitaille},
  year={1998}
}
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 groups C4, of rotations, and D4, of symmetries, of the square, acting on (translation-type) polyominoes. In virtue of Burnside’s Lemma, it is sufficient to enumerate the various symmetry classes (fixed points) of polyominoes defined by the elements of C4 and D4. Using the Temperley–Bousquet-Mélou methodology, we solve this problem and provide… CONTINUE READING
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References

Publications referenced by this paper.
Showing 1-10 of 33 references

On the Foundations of Combinatorial Theory; I. Theory of Möbius Functions, Zeitschrift für Wahrscheinlichkeitstheorie

  • Rota, G.-C
  • Band 2, Heft
  • 1964
Highly Influential
4 Excerpts

Combinatorial Species and Tree-like Structures, Cambridge University Press, Series

  • F. Bergeron, G. Labelle, P. Leroux
  • Encyclopedia of Mathematics and its Applications,
  • 1997

Random Walks and Random Environments. Volume 2: Random Environments

  • B. D. Hughes
  • 1996
1 Excerpt

Rapport scientifique d’habilitation, LaBRI, Université Bordeaux 1, déc

  • M. Bousquet-Mélou
  • 1996
1 Excerpt

Fédou, The generating function of convex polyominoes: the resolution of a q-differential system

  • M. Bousquet-Mélou, J.-M
  • Discrete Math,
  • 1995
1 Excerpt

Random Walks and Random Environments. Volume 1: Random Walks

  • B. D. Hughes
  • 1995
2 Excerpts

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