The continuous 1.5D terrain guarding problem: Discretization, optimal solutions, and PTAS
In the NP-hard continuous 1.5D Terrain Guarding Problem (TGP) we are given an $x$-monotone chain of line segments in $R^2$ (the terrain $T$), and ask for the minimum number of guards (located anywhere on $T$) required to guard all of $T$. We construct guard candidate and witness sets $G, W \subset T...
Main Authors: | Stephan Friedrichs, Michael Hemmer, James King, Christiane Schmidt |
---|---|
Format: | Article |
Language: | English |
Published: |
Carleton University
2016-05-01
|
Series: | Journal of Computational Geometry |
Online Access: | http://jocg.org/index.php/jocg/article/view/242 |
Similar Items
-
Approximation algorithms for guarding 1.5 dimensional terrains
by: King, James Alexander
Published: (2009) -
Computational Study on a PTAS for Planar Dominating Set Problem
by: Qian-Ping Gu, et al.
Published: (2013-01-01) -
Efficient parallel implementations of approximation algorithms for guarding 1.5D terrains
by: Goran Martinović, et al.
Published: (2015-03-01) -
A PTAS For The k-Consensus Structures Problem Under Squared Euclidean Distance
by: Louxin Zhang, et al.
Published: (2008-10-01) -
A tetragonal high-pressure phase of PtAs2
by: Duohui Huang, et al.
Published: (2021-05-01)