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STOC
2001
ACM
116views Algorithms» more  STOC 2001»
15 years 10 months ago
One line and n points
: We analyze a randomized pivoting process involving one line and n points in the plane. The process models the behavior of the RANDOM-EDGE simplex algorithm on simple polytopes wi...
Bernd Gärtner, József Solymosi, Falk T...
SIAMDM
2008
110views more  SIAMDM 2008»
14 years 10 months ago
The Minimum Number of Distinct Areas of Triangles Determined by a Set of n Points in the Plane
We prove a conjecture of Erdos, Purdy, and Straus on the number of distinct areas of triangles determined by a set of n points in the plane. We show that if P is a set of n points...
Rom Pinchasi
GD
2007
Springer
15 years 4 months ago
Universal Sets of n Points for 1-Bend Drawings of Planar Graphs with n Vertices
This paper shows that any planar graph with n vertices can be point-set embedded with at most one bend per edge on a universal set of n points in the plane. An implication of this ...
Hazel Everett, Sylvain Lazard, Giuseppe Liotta, St...
DCG
2010
135views more  DCG 2010»
14 years 10 months ago
Universal Sets of n Points for One-bend Drawings of Planar Graphs with n Vertices
This paper shows that any planar graph with n vertices can be point-set embedded with at most one bend per edge on a universal set of n points in the plane. An implication of this...
Hazel Everett, Sylvain Lazard, Giuseppe Liotta, St...
CCCG
2007
15 years 3 hour ago
The Ordinary Line Problem Revisited
Let P be a set of n points in the plane. A connecting line of P is a line that passes through at least two of its points. A connecting line is called ordinary if it is incident on...
Asish Mukhopadhyay, Eugene Greene