| Relatore: |
Simone Rinaldi (Dipartimento di Scienze Matematiche e Informatiche, Università di Siena} |
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| Titolo: |
Enumerazione di poliomini che pavimentano il piano |
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| Sunto: |
Beauquier and Nivat introduced and gave a characterization of the class of pseudo-square polyominoes,
i.e. those polyominoes that tile the plane by translation:
a polyomino tiles the plane by translation if and only if its boundary word W
may be factorized as W = XYXY.
We consider the subclass PSP of pseudo-square polyominoes which are also parallelogram.
By using the Beauquier-Nivat characterization we provide by means of a rational language the enumeration
of the subclass of psp-polyominoes with a fixed planar basis according to the semi-perimeter.
The case of pseudo-square convex polyominoes is also analyzed.
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| Luogo: |
IMATI-CNR (Istituto di Matematica Applicata e Tecnologie Informatiche) di Milano,
via Bassini n. 15, Aula Pentagonale (secondo piano) |
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| Data: |
Giovedì 9 Febbraio 2006 |
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| Ore: |
10:30 |