From linear partitions to parallelogram polyominoes

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Abstract

We provide a bijection between parallelogram polyominoes and suitable pairs of linear partitions. This lets us design a CAT (Constant Amortized Time) algorithm for generating all parallelogram polyominoes of size n using space. © 2011 Springer-Verlag.

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Mantaci, R., & Massazza, P. (2011). From linear partitions to parallelogram polyominoes. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6795 LNCS, pp. 350–361). https://doi.org/10.1007/978-3-642-22321-1_30

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