Discrete Models: Combinatorics, Computation, and Geometry, DM-CCG 2001
Robert Cori and Jacques Mazoyer and Michel Morvan and Rémy Mosseri (eds.)
DMTCS Conference Volume AA (2001), pp. 133-144
| author: | Alberto Del Lungo, Massimo Mirolli, Renzo Pinzani and Simone Rinaldi |
|---|---|
| title: | A Bijection for Directed-Convex Polyominoes |
| keywords: | cycle lemma, directed-convex polyominoes, binomial coefficients, lattice paths |
| abstract: |
In this paper we consider two classes of lattice paths on
the plane which use north, east,
south, and west unitary steps, beginning and
ending at
(0,0)
. We enumerate them according to the number of steps
by means of bijective arguments; in particular, we apply
the cycle lemma. Then, using these results, we provide a
bijective proof for the number of directed-convex
polyominoes having a fixed number of rows and columns.
|
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| reference: | Alberto Del Lungo and Massimo Mirolli and Renzo Pinzani and Simone Rinaldi (2001), A Bijection for Directed-Convex Polyominoes, in Discrete Models: Combinatorics, Computation, and Geometry, DM-CCG 2001, Robert Cori and Jacques Mazoyer and Michel Morvan and Rémy Mosseri (eds.), Discrete Mathematics and Theoretical Computer Science Proceedings AA, pp. 133-144 |
| bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |
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