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SODA
2004
ACM
115views Algorithms» more  SODA 2004»
14 years 7 days ago
Minimizing the stabbing number of matchings, trees, and triangulations
The (axis-parallel) stabbing number of a given set of line segments is the maximum number of segments that can be intersected by any one (axis-parallel) line. We investigate probl...
Sándor P. Fekete, Marco E. Lübbecke, H...
SODA
1992
ACM
179views Algorithms» more  SODA 1992»
14 years 16 hour ago
Approximating the Minimum Weight Triangulation
We show that the length of the minimum weight Steiner triangulation (MWST) of a point set can be approximated within a constant factor by a triangulation algorithm based on quadtr...
David Eppstein
WADS
2007
Springer
106views Algorithms» more  WADS 2007»
14 years 5 months ago
Maximizing Maximal Angles for Plane Straight-Line Graphs
Let G = (S, E) be a plane straight-line graph on a finite point set S ⊂ R2 in general position. The incident angles of a point p ∈ S in G are the angles between any two edges ...
Oswin Aichholzer, Thomas Hackl, Michael Hoffmann, ...
COMGEO
2006
ACM
13 years 11 months ago
Compatible triangulations and point partitions by series-triangular graphs
We introduce series-triangular graph embeddings and show how to partition point sets with them. This result is then used to prove an upper bound on the number of Steiner points nee...
Jeff Danciger, Satyan L. Devadoss, Don Sheehy
ALGORITHMICA
1998
111views more  ALGORITHMICA 1998»
13 years 10 months ago
A Note on Point Location in Delaunay Triangulations of Random Points
This short note considers the problem of point location in a Delaunay triangulation of n random points, using no additional preprocessing or storage other than a standard data stru...
Luc Devroye, Ernst P. Mücke, Binhai Zhu