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DAM
2006
124views more  DAM 2006»
13 years 7 months ago
Coloring copoints of a planar point set
To a set of n points in the plane, one can associate a graph that has less than n2 vertices and has the property that k-cliques in the graph correspond vertex sets of convex k-gon...
Walter Morris
CCCG
2009
13 years 8 months ago
On the Dilation of Delaunay Triangulations of Points in Convex Position
Let S be a finite set of points in the Euclidean plane, and let E be the complete graph whose point-set is S. Chew, in 1986, proved a lower bound of /2 on the stretch factor of th...
Shiliang Cui, Iyad A. Kanj, Ge Xia
ENDM
2008
118views more  ENDM 2008»
13 years 7 months ago
Number of Crossing-Free Geometric Graphs vs. Triangulations
We show that there is a constant > 0 such that, for any set P of n 5 points in general position in the plane, a crossing-free geometric graph on P that is chosen uniformly at...
Andreas Razen, Jack Snoeyink, Emo Welzl
CORR
2002
Springer
93views Education» more  CORR 2002»
13 years 7 months ago
On the Reflexivity of Point Sets
We introduce a new measure for planar point sets S that captures a combinatorial distance that S is from being a convex set: The reflexivity (S) of S is given by the smallest numb...
Esther M. Arkin, Sándor P. Fekete, Ferran H...
COMPGEOM
2004
ACM
14 years 28 days ago
A 2D kinetic triangulation with near-quadratic topological changes
Given a set of n points S in the plane, a triangulation of S is a subdivision of the convex hull into triangles whose vertices are from S. In the kinetic setting, the input point ...
Pankaj K. Agarwal, Yusu Wang, Hai Yu