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sardinas-patterson algorithm

RAIRO - Theoretical Informatics and Applications (1)

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The code problem for directed figures
Michał Kolarz
Journal:

RAIRO - Theoretical Informatics and Applications / Volume 44 / Issue 4 / October 2010

Published online by Cambridge University Press:

28 February 2011, pp. 489-506

Print publication:

October 2010
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We consider directed figures defined as labelled polyominoes with designated start and end points, with two types of catenation operations. We are especially interested in codicity verification for sets of figures, and we show that depending on the catenation type the question whether a given set of directed figures is a code is decidable or not. In the former case we give a constructive proof which leads to a straightforward algorithm.