Local search strikes again: PTAS for variants of geometric covering and packing
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Publication:5919362
DOI10.1007/s10878-019-00432-yzbMath1434.68597OpenAlexW2950798640MaRDI QIDQ5919362
Sathish Govindarajan, Pradeesha Ashok, Aniket Basu Roy
Publication date: 3 February 2020
Published in: Journal of Combinatorial Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10878-019-00432-y
Analysis of algorithms and problem complexity (68Q25) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Approximation algorithms (68W25)
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- On the efficiency of polynomial time approximation schemes
- Approximation algorithms for maximum independent set of pseudo-disks
- Algorithms for four variants of the exact satisfiability problem
- Improved results on geometric hitting set problems
- Optimal packing and covering in the plane are NP-complete
- A 4.31-approximation for the geometric unique coverage problem on unit disks
- The parameterized complexity of unique coverage and its variants
- Effectiveness of local search for art gallery problems
- Geometric packing under non-uniform constraints
- A Polynomial-Time Approximation Scheme for the Geometric Unique Coverage Problem on Unit Squares
- On the set multicover problem in geometric settings
- Guarding terrains via local search
- Weighted geometric set multi-cover via quasi-uniform sampling
- Unique Covering Problems with Geometric Sets
- Combination Can Be Hard: Approximability of the Unique Coverage Problem
- New existence proofs ε-nets
- Fast Algorithms for Shortest Paths in Planar Graphs, with Applications
- Packing and Covering with Non-Piercing Regions
- Local Search Yields a PTAS for $k$-Means in Doubling Metrics
- Local Search Yields Approximation Schemes for $k$-Means and $k$-Median in Euclidean and Minor-Free Metrics
- Quasi-Polynomial Time Approximation Scheme for Sparse Subsets of Polygons
- Approximation Schemes for Covering and Packing
- Decomposition of Multiple Packings with Subquadratic Union Complexity
- The complexity of satisfiability problems
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