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Results tagged with convexity
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user 24076
For questions involving the concept of convexity
1
vote
Is this relation between planar convex hulls and heaviest cliques true?
No: for $m\ge 2$, take $P$ as $h$ points on a short circular arc. The set $Q$ will alway contain the first and the last point along the arc, which form an edge of the convex hull of $P$.
- 6,101
2
votes
Accepted
Common boundary point of convex bodies
If the question is whether the intersection of the boundaries of all the sets $K_i$ is nonempty, the answer is no for $n=3$.
Let $K_1$ be the unit ball with center $(0,0,0)$, $K_2$ the unit ball with …
- 6,101
2
votes
Accepted
Convex extensibility of combination of two lines
There is; for example, the following function is concave:
$f(x,0)=0, f(x,y)=x$ for $y>0$.
- 6,101