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The code problem for directed figures

Published online by Cambridge University Press:  28 February 2011

Michał Kolarz
Michał Kolarz*
Affiliation:
Institute of Computer Science, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland; mkol@smp.if.uj.edu.pl
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Abstract

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.

Keywords

Directed figuresvariable-length codescodicity verificationSardinas-Patterson algorithm
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 44 , Issue 4 , October 2010 , pp. 489 - 506
Copyright
© EDP Sciences, 2011

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