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An Object Grammar for Column-Convex Polyominoes

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Abstract

In this paper we propose an object grammar decomposition for the classes of columnconvex, and directed column-convex polyominoes. As a consequence, we obtain the enumeration of such classes according to the semi-perimeter, thus giving a natural explanation of the fact that the generating functions of both the classes are algebraic.

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Authors and Affiliations

  1. École des Hautes Études en Sciences Sociales, Centre d’Analyse et de Mathématique Sociales, Bureau 231, 54, bd Raspail, 75270, Paris Cedex 06, France

    E. Duchi

  2. Dipartimento di Scienze Matematiche ed Informatiche, Università di Siena, via del Capitano 15, 53100, Siena, Italy

    S. Rinaldi

Authors
  1. E. Duchi
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  2. S. Rinaldi
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Correspondence to E. Duchi or S. Rinaldi.

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AMS Subject Classification: 05A15.

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Duchi, E., Rinaldi, S. An Object Grammar for Column-Convex Polyominoes. Ann. Combin. 8, 27–36 (2004). https://doi.org/10.1007/s00026-004-0202-x

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  • DOI: https://doi.org/10.1007/s00026-004-0202-x

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