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» Visibility Graphs of Point Sets in the Plane
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DCG
2008
82views more  DCG 2008»
13 years 5 months ago
Visibility Graphs of Point Sets in the Plane
The visibility graph V(X) of a discrete point set X R2 has vertex set X and an edge xy for every two points x, y X whenever there is no other point in X on the line segment betw...
Florian Pfender
IJCGA
2007
58views more  IJCGA 2007»
13 years 4 months ago
Maintaining Visibility Information of Planar Point Sets with a Moving Viewpoint
Given a set of n points in the plane, we consider the problem of computing the circular ordering of the points about a viewpoint q and efficiently maintaining this ordering inform...
Olivier Devillers, Vida Dujmovic, Hazel Everett, S...
COMPGEOM
1990
ACM
13 years 9 months ago
Minimum-Link Paths Among Obstacles in the Plane
Given a set of nonintersecting polygonal obstacles in the plane, the link distance between two points s and t is the minimum number of edges required to form a polygonal path conn...
Joseph S. B. Mitchell, Günter Rote, Gerhard J...
ISAAC
2005
Springer
135views Algorithms» more  ISAAC 2005»
13 years 10 months ago
Embedding Point Sets into Plane Graphs of Small Dilation
Let S be a set of points in the plane. What is the minimum possible dilation of all plane graphs that contain S? Even for a set S as simple as five points evenly placed on the ci...
Annette Ebbers-Baumann, Ansgar Grüne, Marek K...
SODA
2008
ACM
123views Algorithms» more  SODA 2008»
13 years 6 months ago
Delaunay graphs of point sets in the plane with respect to axis-parallel rectangles
Given a point set P in the plane, the Delaunay graph with respect to axis-parallel rectangles is a graph defined on the vertex set P, whose two points p, q P are connected by an ...
Xiaomin Chen, János Pach, Mario Szegedy, G&...