Abstract
While connected arithmetic discrete lines are entirely characterized by their arithmetic thickness, only partial results exist for arithmetic discrete hyperplanes in any dimension. In the present paper, we focus on 0-connected rational arithmetic discrete planes in ℤ3. Thanks to an arithmetic reduction on a given integer vector n, we provide an algorithm which computes the thickness of the thinnest 0-connected arithmetic plane with normal vector n. © Springer-Verlag Berlin Heidelberg 2006.
Cite
CITATION STYLE
Jamet, D., & Toutant, J. L. (2006). On the connectedness of rational arithmetic discrete hyperplanes. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4245 LNCS, pp. 223–234). Springer Verlag. https://doi.org/10.1007/11907350_19
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