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Relatore: Simone Rinaldi (Dipartimento di Scienze Matematiche e Informatiche, Università di Siena} Titolo: Enumerazione di poliomini che pavimentano il piano 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.
Luogo: IMATI-CNR (Istituto di Matematica Applicata e Tecnologie Informatiche) di Milano, via Bassini n. 15, Aula Pentagonale (secondo piano) Data: Giovedì 9 Febbraio 2006 Ore: 10:30