Counting \(k\)-convex polyominoes
The electronic journal of combinatorics, Tome 20 (2013) no. 2
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We compute an asymptotic estimate of a lower bound of the number of $k$-convex polyominoes of semiperimeter $p$. This approximation can be written as $\mu(k) p 4^p$ where $\mu(k)$ is a rational fraction of $k$ which up to $\mu(k)$ is the asymptotics of convex polyominoes.
DOI : 10.37236/3435
Classification : 05A05, 05A16, 05A19, 05B50
Mots-clés : convex polyominoes

Anne Micheli  1   ; Dominique Rossin  2

1 Université Paris Diderot
2 Ecole Polytechnique and CNRS
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     author = {Anne Micheli and Dominique Rossin},
     title = {Counting \(k\)-convex polyominoes},
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Anne Micheli; Dominique Rossin. Counting \(k\)-convex polyominoes. The electronic journal of combinatorics, Tome 20 (2013) no. 2. doi: 10.37236/3435

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