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» Minimum weight triangulation is NP-hard
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SODA
1992
ACM
179views Algorithms» more  SODA 1992»
14 years 10 months 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
CCCG
2007
14 years 11 months ago
Triangulations Loosing Bundles and Weight
We introduce bundle-free triangulations, that are free of large collection of triangles overlapping a circle empty of vertices. We prove that bundle-free Steiner triangulations ca...
Cem Boyaci, Hale Erten, Alper Üngör
93
Voted
COMPGEOM
2006
ACM
15 years 3 months ago
Minimum weight triangulation is NP-hard
A triangulation of a planar point set S is a maximal plane straight-line graph with vertex set S. In the minimum weight triangulation (MWT) problem, we are looking for a triangula...
Wolfgang Mulzer, Günter Rote
90
Voted
IWPEC
2004
Springer
15 years 2 months ago
The Minimum Weight Triangulation Problem with Few Inner Points
We propose to look at the computational complexity of 2-dimensional geometric optimization problems on a finite point set with respect to the number of inner points (that is, poi...
Michael Hoffmann, Yoshio Okamoto
IJCGA
2008
114views more  IJCGA 2008»
14 years 9 months ago
Fixed Parameter Algorithms for the Minimum Weight Triangulation Problem
Published as Technical Report LU-CS-TR:2005-238 on February 13, 2006, ISSN 1650-1276 Report 158, Lund University, Sweden 2006 We discuss and compare four fixed parameter algorithm...
Magdalene G. Borgelt, Christian Borgelt, Christos ...