Abstract
It is shown that if a closed set S in the plane is (n+1)-convex, then it has no more than n4 holes. As a consequence, it can be covered by≤n6 convex subsets. This is an improvement on the known bound of 2n·n3.
Original language | English |
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Pages (from-to) | 305-312 |
Number of pages | 8 |
Journal | Israel Journal of Mathematics |
Volume | 70 |
Issue number | 3 |
DOIs | |
State | Published - Oct 1990 |