Tilings in Lee metric
نویسندگان
چکیده
منابع مشابه
Tilings in Lee metric
Gravier et al. proved [S. Gravier, M. Mollard, Ch. Payan, On the existence of three-dimensional tiling in the Lee metric, European J. Combin. 19 (1998) 567–572] that there is no tiling of the three-dimensional space R3 with Lee spheres of radius at least 2. In particular, this verifies the Golomb–Welch conjecture for n = 3. Špacapan, [S. Špacapan, Non-existence of face-to-face four-dimensional ...
متن کاملNonexistence of face-to-face four-dimensional tilings in the Lee metric
A family of n-dimensional Lee spheres L is a tiling of Rn , if ∪L = Rn and for every Lu , Lv ∈ L, the intersection Lu ∩ Lv is contained in the boundary of Lu . If neighboring Lee spheres meet along entire (n−1)-dimensional faces, then L is called a face-to-face tiling. We prove the nonexistence of a face-to-face tiling of R4 with Lee spheres of different radii. c © 2005 Elsevier Ltd. All rights...
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Following are the abstracts of contributions (i.e., talks and posters) to the 13th Annual Meeting of the IMS held at the National University of Ireland Maynooth, 6–8 September 2000. The abbreviations after the names designate: ‘M’ for main speaker, ‘S’ for speaker, ‘RS’ for research student, and ‘P’ for poster. The abstracts are included as provided by the contributors for this volume of the Bu...
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ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 2009
ISSN: 0195-6698
DOI: 10.1016/j.ejc.2008.04.007