The code problem for directed figures
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Volume 44 (2010) no. 4, p. 489-506

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.

DOI : https://doi.org/10.1051/ita/2011005
Classification:  68R15,  68R99
Keywords: directed figures, variable-length codes, codicity verification, Sardinas-Patterson algorithm
@article{ITA_2010__44_4_489_0,
     author = {Kolarz, Micha\l },
     title = {The code problem for directed figures},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     publisher = {EDP-Sciences},
     volume = {44},
     number = {4},
     year = {2010},
     pages = {489-506},
     doi = {10.1051/ita/2011005},
     mrnumber = {2775408},
     language = {en},
     url = {http://www.numdam.org/item/ITA_2010__44_4_489_0}
}
Kolarz, Michał. The code problem for directed figures. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Volume 44 (2010) no. 4, pp. 489-506. doi : 10.1051/ita/2011005. http://www.numdam.org/item/ITA_2010__44_4_489_0/

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