Some Remarks on Translative Coverings of Convex Domains by Strips
Canadian mathematical bulletin, Tome 27 (1984) no. 2, pp. 233-237
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In the euclidean plane let K be a compact convex set and S l, S 2,... strips of respective widths w l, w 2,... Some conditions on Σ w i are given that imply that K can be covered by translates of the strips S i . These conditions involve the perimeter, the diameter, or the minimal width of K and yield improvements of previously known results.
Groemer, H. Some Remarks on Translative Coverings of Convex Domains by Strips. Canadian mathematical bulletin, Tome 27 (1984) no. 2, pp. 233-237. doi: 10.4153/CMB-1984-033-9
@article{10_4153_CMB_1984_033_9,
author = {Groemer, H.},
title = {Some {Remarks} on {Translative} {Coverings} of {Convex} {Domains} by {Strips}},
journal = {Canadian mathematical bulletin},
pages = {233--237},
year = {1984},
volume = {27},
number = {2},
doi = {10.4153/CMB-1984-033-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-033-9/}
}
TY - JOUR AU - Groemer, H. TI - Some Remarks on Translative Coverings of Convex Domains by Strips JO - Canadian mathematical bulletin PY - 1984 SP - 233 EP - 237 VL - 27 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-033-9/ DO - 10.4153/CMB-1984-033-9 ID - 10_4153_CMB_1984_033_9 ER -
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