About the domino problem in the hyperbolic plane from an algorithmic point of view
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 42 (2008) no. 1, pp. 21-36
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This paper is a contribution to the general tiling problem for the hyperbolic plane. It is an intermediary result between the result obtained by R. Robinson [Invent. Math. 44 (1978) 259-264] and the conjecture that the problem is undecidable.
DOI :
10.1051/ita:2007045
Classification :
52C20, 05B45
Keywords: tilings, tiling problem, hyperbolic plane, origin-constrained problem
Keywords: tilings, tiling problem, hyperbolic plane, origin-constrained problem
@article{ITA_2008__42_1_21_0,
author = {Margenstern, Maurice},
title = {About the domino problem in the hyperbolic plane from an algorithmic point of view},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
pages = {21--36},
publisher = {EDP-Sciences},
volume = {42},
number = {1},
year = {2008},
doi = {10.1051/ita:2007045},
mrnumber = {2382542},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/ita:2007045/}
}
TY - JOUR AU - Margenstern, Maurice TI - About the domino problem in the hyperbolic plane from an algorithmic point of view JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 2008 SP - 21 EP - 36 VL - 42 IS - 1 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/ita:2007045/ DO - 10.1051/ita:2007045 LA - en ID - ITA_2008__42_1_21_0 ER -
%0 Journal Article %A Margenstern, Maurice %T About the domino problem in the hyperbolic plane from an algorithmic point of view %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 2008 %P 21-36 %V 42 %N 1 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/ita:2007045/ %R 10.1051/ita:2007045 %G en %F ITA_2008__42_1_21_0
Margenstern, Maurice. About the domino problem in the hyperbolic plane from an algorithmic point of view. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 42 (2008) no. 1, pp. 21-36. doi: 10.1051/ita:2007045
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