Geodesic
A note about Bezdek's conjecture on covering an annulus by strips
The electronic journal of combinatorics, Tome 15 (2008)

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Zbl EuDML
A closed plane region between two parallel lines is called a strip. András Bezdek posed the following conjecture: For each convex region $K$ there is an $\varepsilon>0$ such that if $\varepsilon K$ lies in the interior of $K$ and the annulus $K\backslash \varepsilon K$ is covered by finitely many strips, then the sum of the widths of the strips must be at least the minimal width of $K$. In this paper, we consider problems which are related to the conjecture.
DOI : 10.37236/894
Classification : 52C15 
Yuqin Zhang; Ren Ding. A note about Bezdek's conjecture on covering an annulus by strips. The electronic journal of combinatorics, Tome 15 (2008). doi: 10.37236/894
@article{10_37236_894,
     author = {Yuqin Zhang and Ren Ding},
     title = {A note about {Bezdek's} conjecture on covering an annulus by strips},
     journal = {The electronic journal of combinatorics},
     year = {2008},
     volume = {15},
     doi = {10.37236/894},
     zbl = {1160.52016},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/894/}
}
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