We consider tilings of a board by and squares and get combinatorical results on proportions of small squares for in plain case and for in cylindrical case.
Accepté le :
DOI : 10.1051/ita/2016011
Mots-clés : Tiling, square tiles, generating functions, automaton, strip tilings, tiling graph
@article{ITA_2016__50_1_105_0, author = {Rolin, Nicolas and Ugolnikova, Alexandra}, title = {Tilings by $1 \times{} 1$ and $2 \times{} 2$}, journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications}, pages = {105--116}, publisher = {EDP-Sciences}, volume = {50}, number = {1}, year = {2016}, doi = {10.1051/ita/2016011}, zbl = {1346.05028}, mrnumber = {3518163}, language = {en}, url = {http://archive.numdam.org/articles/10.1051/ita/2016011/} }
TY - JOUR AU - Rolin, Nicolas AU - Ugolnikova, Alexandra TI - Tilings by $1 \times{} 1$ and $2 \times{} 2$ JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 2016 SP - 105 EP - 116 VL - 50 IS - 1 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/ita/2016011/ DO - 10.1051/ita/2016011 LA - en ID - ITA_2016__50_1_105_0 ER -
%0 Journal Article %A Rolin, Nicolas %A Ugolnikova, Alexandra %T Tilings by $1 \times{} 1$ and $2 \times{} 2$ %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 2016 %P 105-116 %V 50 %N 1 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/ita/2016011/ %R 10.1051/ita/2016011 %G en %F ITA_2016__50_1_105_0
Rolin, Nicolas; Ugolnikova, Alexandra. Tilings by $1 \times{} 1$ and $2 \times{} 2$. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Special issue dedicated to the 15th "Journées Montoises d'Informatique Théorique", Tome 50 (2016) no. 1, pp. 105-116. doi : 10.1051/ita/2016011. http://archive.numdam.org/articles/10.1051/ita/2016011/
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