RAIRO-Theor. Inf. Appl.
Volume 41, Number 4, October-December 2007
|Page(s)||403 - 409|
|Published online||17 August 2007|
Defect theorem in the plane
Institute of Computer Science, Jagiellonian University, Nawojki 11, 30-072 Kraków, Poland; email@example.com
Accepted: 7 December 2006
We consider the defect theorem in the context of labelled polyominoes, i.e., two-dimensional figures. The classical version of this property states that if a set of n words is not a code then the words can be expressed as a product of at most n - 1 words, the smaller set being a code. We survey several two-dimensional extensions exhibiting the boundaries where the theorem fails. In particular, we establish the defect property in the case of three dominoes (n × 1 or 1 × n rectangles).
Mathematics Subject Classification: 68Q70 / 68R15
Key words: Defect theorem / codes / polyominoes
© EDP Sciences, 2007
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.