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» Connected Rectilinear Graphs on Point Sets
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ISAAC
2003
Springer
96views Algorithms» more  ISAAC 2003»
14 years 16 days ago
On the Geometric Dilation of Finite Point Sets
Let G be an embedded planar graph whose edges may be curves. For two arbitrary points of G, we can compare the length of the shortest path in G connecting them against their Euclid...
Annette Ebbers-Baumann, Ansgar Grüne, Rolf Kl...
APPROX
2006
Springer
234views Algorithms» more  APPROX 2006»
13 years 11 months ago
Constant-Factor Approximation for Minimum-Weight (Connected) Dominating Sets in Unit Disk Graphs
For a given graph with weighted vertices, the goal of the minimum-weight dominating set problem is to compute a vertex subset of smallest weight such that each vertex of the graph...
Christoph Ambühl, Thomas Erlebach, Matú...
JPDC
2007
138views more  JPDC 2007»
13 years 7 months ago
Distributed computation of the knn graph for large high-dimensional point sets
High-dimensional problems arising from robot motion planning, biology, data mining, and geographic information systems often require the computation of k nearest neighbor (knn) gr...
Erion Plaku, Lydia E. Kavraki
SODA
2008
ACM
123views Algorithms» more  SODA 2008»
13 years 8 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&...
JGAA
2006
108views more  JGAA 2006»
13 years 7 months ago
Planar embeddability of the vertices of a graph using a fixed point set is NP-hard
Let G = (V, E) be a graph with n vertices and let P be a set of n points in the plane. We show that deciding whether there is a planar straight-line embedding of G such that the v...
Sergio Cabello