The critical thickness of an arithmetical discrete plane refers to the infimum thickness that preserves its 2-connectedness. This infimum thickness can be computed thanks to a multidimensional continued fraction algorithm, namely the fully subtractive algorithm. We provide a characterization of the discrete planes with critical thickness that contain the origin and that are 2-connected. © 2013 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Berthé, V., Jamet, D., Jolivet, T., & Provençal, X. (2013). Critical connectedness of thin arithmetical discrete planes. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7749 LNCS, pp. 107–118). Springer Verlag. https://doi.org/10.1007/978-3-642-37067-0_10
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