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APPROX
2009
Springer
131views Algorithms» more  APPROX 2009»
14 years 2 months ago
An Approximation Scheme for Terrain Guarding
We obtain a polynomial time approximation scheme for the terrain guarding problem improving upon several recent constant factor approximations. Our algorithm is a local search algo...
Matt Gibson, Gaurav Kanade, Erik Krohn, Kasturi R....
FCT
2009
Springer
14 years 2 months ago
Small Weakly Universal Turing Machines
We give small universal Turing machines with state-symbol pairs of (6, 2), (3, 3) and (2, 4). These machines are weakly universal, which means that they have an infinitely repeate...
Turlough Neary, Damien Woods
UC
2009
Springer
14 years 2 months ago
Membrane Dissolution and Division in P
Membrane systems with dividing and dissolving membranes are known to solve PSPACE problems in polynomial time. However, we give a P upperbound on an important restriction of such s...
Damien Woods, Niall Murphy, Mario J. Pérez-...
APPROX
2007
Springer
102views Algorithms» more  APPROX 2007»
14 years 1 months ago
Hardness of Embedding Metric Spaces of Equal Size
Abstract. We study the problem embedding an n-point metric space into another n-point metric space while minimizing distortion. We show that there is no polynomial time algorithm t...
Subhash Khot, Rishi Saket
APPROX
2005
Springer
131views Algorithms» more  APPROX 2005»
14 years 1 months ago
Approximation Schemes for Node-Weighted Geometric Steiner Tree Problems
Abstract. In this paper we introduce a new technique for approximation schemes for geometrical optimization problems. As an example problem, we consider the following variant of th...
Jan Remy, Angelika Steger