Name
Abstract | ||
|---|---|---|
For a planar point set P in general position, an empty convex k -gon or a k -hole of P is a convex k -gon H such that the vertices of H are elements of P and no element of P lies inside H . Let n (k 1 ,k 2 , *** ,k l ) be the smallest integer such that any set of n (k 1 , *** ,k l ) points contains a k i -hole for each i , 1 ≤ i ≤ l , where the holes are pairwise disjoint. We evaluate such values. In particular, we show that n (1,2,3,4,5) = 15. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1007/978-3-540-89550-3_10 | KyotoCGGT |
Keywords | Field | DocType |
planar point,specified disjoint empty convex,minimal planar point set,convex k,k i,general position,k l,pairwise disjoint,empty convex k | Integer,Discrete mathematics,Combinatorics,General position,Disjoint sets,Vertex (geometry),Regular polygon,Planar,Interior point method,Mathematics,Convex cone | Conference |
Volume | ISSN | Citations |
4535 | 0302-9743 | 4 |
PageRank | References | Authors |
0.47 | 9 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kiyoshi Hosono | 1 | 60 | 11.01 |
| Masatsugu Urabe | 2 | 153 | 25.87 |