About the domino problem in the hyperbolic plane from an algorithmic point of view

Issue		RAIRO-Theor. Inf. Appl. Volume 42, Number 1, January-March 2008 A nonstandard spirit among computer scientists: a tribute to Serge Grigorieff at the occasion of his 60th birthday


Page(s)		21 - 36
DOI		10.1051/ita:2007045
Published online		18 January 2008

RAIRO-Theor. Inf. Appl. 42, 21-36 (2008)
DOI: 10.1051/ita:2007045

About the domino problem in the hyperbolic plane from an algorithmic point of view

Maurice Margenstern

Université Paul Verlaine - Metz, IUT de Metz; margens@univ-metz.fr

(Published online: 18 January 2008)

Abstract
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.

Mathematics Subject Classification. 52C20, 05B45

Key words: Tilings -- tiling problem -- hyperbolic plane -- origin-constrained problem

© EDP Sciences 2007

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