2L-CONVEX POLYOMINOES: GEOMETRICAL ASPECTS - Université Grenoble Alpes Accéder directement au contenu
Article Dans Une Revue Contributions to Discrete Mathematics Année : 2011


Laurent Vuillon
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A polyomino P is called 2L-convex if for every two cells there exists a monotone path included in P with at most two changes of direction. This paper studies the geometrical aspects of a sub-class of 2L-convex polyominoes called I0,0 and states a characterization of 2L it in terms of monotone paths. In a second part, four geometries are introduced and the tomographical point of view is investigated using the switching components (that is, the elements of this sub-class that have the same projections). Finally, some unicity results are given for the reconstruction of these polyominoes according to their projections.
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hal-00944079 , version 1 (10-02-2014)


  • HAL Id : hal-00944079 , version 1


Khalil Tawbe, Laurent Vuillon. 2L-CONVEX POLYOMINOES: GEOMETRICAL ASPECTS. Contributions to Discrete Mathematics, 2011, 6 (1), pp.1-25. ⟨hal-00944079⟩
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