Title
Cells in any simple polygon formed by a planar point set
Abstract
Let P be a finite point set in general position in the plane. We consider empty convex subsets of P such that the union of the subsets constitute a simple polygon S whose dual graph is a path, and every point in P is on the boundary of S. Denote the minimum number of the subsets in the simple polygons S's formed by P by f\"p(P), and define the maximum value of f\"p(P) by F\"p(n) over all P with n points. We show that @?(4n-17)/15@?=
Year
DOI
Venue
2008
10.1016/j.disc.2007.08.084
Discrete Mathematics
Keywords
Field
DocType
the erdős–szekeres theorem,simple polygons,empty convex subsets,the erdős-szekeres theorem
Discrete mathematics,Polygon,Combinatorics,General position,Regular polygon,Planar,Dual graph,Point set,Simple polygon,Mathematics
Journal
Volume
Issue
ISSN
308
20
Discrete Mathematics
Citations 
PageRank 
References 
0
0.34
5
Authors
1
Name
Order
Citations
PageRank
Kiyoshi Hosono16011.01