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COMPGEOM
2006
ACM
15 years 11 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
WADS
2005
Springer
162views Algorithms» more  WADS 2005»
15 years 11 months ago
The Minimum-Area Spanning Tree Problem
Motivated by optimization problems in sensor coverage, we formulate and study the Minimum-Area Spanning Tree (mast) problem: Given a set P of n points in the plane, find a spannin...
Paz Carmi, Matthew J. Katz, Joseph S. B. Mitchell
JCO
2010
182views more  JCO 2010»
15 years 4 months ago
Polynomial time approximation schemes for minimum disk cover problems
The following planar minimum disk cover problem is considered in this paper: given a set D of n disks and a set P of m points in the Euclidean plane, where each disk covers a subse...
Chen Liao, Shiyan Hu
ADHOCNOW
2008
Springer
15 years 12 months ago
Novel Algorithms for the Network Lifetime Problem in Wireless Settings
Abstract. A wireless ad-hoc network is a collection of transceivers positioned in the plane. Each transceiver is equipped with a limited, nonreplenishable battery charge. The batte...
Michael Elkin, Yuval Lando, Zeev Nutov, Michael Se...
IWPEC
2004
Springer
15 years 11 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