Name
Abstract | ||
|---|---|---|
Let ${\cal F}$ denote a family of pairwise disjoint convex sets in the plane. ${\cal F}$ is said to be in {\em convex position}, if none of its members is contained in the convex hull of the union of the others. For any fixed $k\geq 5$, we give a linear upper bound on $P_k(n)$, the maximum size of a family ${\cal F}$ with the property that any $k$ members of ${\cal F}$ are in convex position, but no $n$ are. |
Year | DOI | Venue |
|---|---|---|
2000 | 10.1007/s004930070010 | Combinatorica |
Keywords | Field | DocType |
finding convex sets,convex position,convex hull,cal f,pairwise disjoint convex set,maximum size,em convex position,convex set,upper bound | Discrete mathematics,Combinatorics,Convex combination,Convex hull,Convex set,Subderivative,Convex polytope,Proper convex function,Convex position,Convex analysis,Mathematics | Journal |
Volume | Issue | ISSN |
20 | 4 | 0209-9683 |
Citations | PageRank | References |
1 | 0.36 | 1 |
Authors | ||
1 | ||