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Almost optimal set covers in finite VC-dimension

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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On Linear-Time Deterministic Algorithms for Optimization Problems in Fixed Dimension
inferredcites →https://doi.org/10.1007/3-540-56483-7_20openalex-snapshot
Training a 3-node neural network is NP-complete
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Algorithms for polytope covering and approximation
inferredcites →https://doi.org/10.1007/978-1-4612-1098-6openalex-snapshot
Computational Geometry
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Reducibility among Combinatorial Problems
inferredcites →https://doi.org/10.1007/978-3-319-21852-6_3openalex-snapshot
On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities
inferredcites →https://doi.org/10.1007/bf01303517openalex-snapshot
Discrepancy and approximations for bounded VC-dimension
inferredcites →https://doi.org/10.1007/bf02122778openalex-snapshot
A deterministic view of random sampling and its use in geometry
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Applications of random sampling in computational geometry, II
inferredcites →https://doi.org/10.1007/bf02187743openalex-snapshot
Quasi-optimal range searching in spaces of finite VC-dimension
inferredcites →https://doi.org/10.1007/bf02187804openalex-snapshot
Construction of ɛ-nets
inferredcites →https://doi.org/10.1007/bf02187833openalex-snapshot
Almost tight bounds forɛ-Nets
inferredcites →https://doi.org/10.1007/bf02187876openalex-snapshot
ɛ-nets and simplex range queries
inferredcites →https://doi.org/10.1007/bf02189314openalex-snapshot
Cutting hyperplanes for divide-and-conquer
inferredcites →https://doi.org/10.1007/bf02293051openalex-snapshot
Efficient partition trees
inferredcites →https://doi.org/10.1007/bf02573972openalex-snapshot
Range searching with efficient hierarchical cuttings
inferredcites →https://doi.org/10.1007/bf02573985openalex-snapshot
An optimal convex hull algorithm in any fixed dimension
inferredcites →https://doi.org/10.1007/bf02574697openalex-snapshot
Cutting hyperplane arrangements
inferredcites →https://doi.org/10.1016/0012-365x(75)90058-8openalex-snapshot
On the ratio of optimal integral and fractional covers
inferredcites →https://doi.org/10.1016/0097-3165(72)90019-2openalex-snapshot
On the density of families of sets
inferredcites →https://doi.org/10.1016/0885-064x(90)90012-3openalex-snapshot
On learning a union of half spaces
inferredcites →https://doi.org/10.1016/0925-7721(92)90006-eopenalex-snapshot
Reporting points in halfspaces
inferredcites →https://doi.org/10.1016/0925-7721(95)00006-uopenalex-snapshot
Separation and approximation of polyhedral objects
inferredcites →https://doi.org/10.1016/s0022-0000(05)80068-6openalex-snapshot
Efficient NC algorithms for set cover with applications to learning and geometry
inferredcites →https://doi.org/10.1016/s0022-0000(74)80044-9openalex-snapshot
Approximation algorithms for combinatorial problems
inferredcites →https://doi.org/10.1057/jors.1991.155openalex-snapshot
Introduction to Algorithms
inferredcites →https://doi.org/10.1109/sfcs.1987.37openalex-snapshot
Learning quickly when irrelevant attributes abound: A new linear-threshold algorithm
inferredcites →https://doi.org/10.1109/sfcs.1988.21961openalex-snapshot
A Las Vegas algorithm for linear programming when the dimension is small
inferredcites →https://doi.org/10.1109/sfcs.1989.63455openalex-snapshot
Efficient NC algorithms for set cover with applications to learning and geometry
inferredcites →https://doi.org/10.1109/sfcs.1991.185345openalex-snapshot
An optimal convex hull algorithm and new results on cuttings
inferredcites →https://doi.org/10.1109/sfcs.1991.185401openalex-snapshot
Discrepancy and in -approximations for bounded VC-dimension
inferredcites →https://doi.org/10.1109/sfcs.1993.366847openalex-snapshot
Product range spaces, sensitive sampling, and derandomization
inferredcites →https://doi.org/10.1109/sfcs.1993.366855openalex-snapshot
Primal-dual RNC approximation algorithms for (multi)-set (multi)-cover and covering integer programs
inferredcites →https://doi.org/10.1137/0211045openalex-snapshot
Approximation Algorithms for the Set Covering and Vertex Cover Problems
inferredcites →https://doi.org/10.1137/1.9781611970265openalex-snapshot
Data Structures and Network Algorithms
inferredcites →https://doi.org/10.1137/1116025openalex-snapshot
On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities
inferredcites →https://doi.org/10.1145/103418.103470openalex-snapshot
Approximations and optimal geometric divide-and-conquer
inferredcites →https://doi.org/10.1145/109648.109649openalex-snapshot
Efficient partition trees
inferredcites →https://doi.org/10.1145/12130.12158openalex-snapshot
Classifying learnable geometric concepts with the Vapnik-Chervonenkis dimension
inferredcites →https://doi.org/10.1145/160985.161002openalex-snapshot
Geometric partitioning made easier, even in parallel
inferredcites →https://doi.org/10.1145/160985.161167openalex-snapshot
Decision trees for geometric models
inferredcites →https://doi.org/10.1145/167088.167172openalex-snapshot
On the hardness of approximating minimization problems
inferredcites →https://doi.org/10.1145/167088.167174openalex-snapshot
Efficient probabilistically checkable proofs and applications to approximations
inferredcites →https://doi.org/10.1145/167088.167222openalex-snapshot
Improved bounds on weak ε-nets for convex sets
inferredcites →https://doi.org/10.1145/177424.178119openalex-snapshot
Almost optimal polyhedral separators
inferredcites →https://doi.org/10.1145/2455.214106openalex-snapshot
Approximation schemes for covering and packing problems in image processing and VLSI
inferredcites →https://doi.org/10.1145/73393.73394openalex-snapshot
Applications of random sampling in computational geometry, II
inferredcites →https://doi.org/10.1145/73393.73397openalex-snapshot
Partition trees for triangle counting and other range searching problems
inferredcites →https://doi.org/10.1145/76359.76371openalex-snapshot
Learnability and the Vapnik-Chervonenkis dimension
inferredcites →https://doi.org/10.1145/98524.98530openalex-snapshot
How to net a lot with little: small ε-nets for disks and halfspaces
inferredcites →https://doi.org/10.1287/moor.4.3.233openalex-snapshot
A Greedy Heuristic for the Set-Covering Problem
inferredcites →https://doi.org/10.2307/2008200openalex-snapshot
Computational Geometry--An Introduction.
inferredcites →https://doi.org/10.5802/aif.938openalex-snapshot
Densité et dimension

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Cooperative sensor deployment for multi‐target monitoring
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Learning Fixed-Dimension Linear Thresholds from Fragmented Data
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Derandomization in Computational Geometry
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Data Collection for the Sloan Digital Sky Survey—A Network-Flow Heuristic
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A 4-Approximation Algorithm for Guarding 1.5-Dimensional Terrains
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On Guarding Rectilinear Domains
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Constant-Factor Approximation for Minimum-Weight (Connected) Dominating Sets in Unit Disk Graphs
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Omnidirectional Sensing for Robot Control
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Approximation of Multiobjective Optimization Problems
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Using the Pseudo-Dimension to Analyze Approximation Algorithms for Integer Programming
inferred← citeshttps://doi.org/10.1007/3-540-45022-x_53openalex-snapshot
Hardness of Set Cover with Intersection 1
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Approximation Algorithms for the Minimum Bends Traveling Salesman Problem
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Approximation Algorithms for k-Line Center
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On Rectangular Partitionings in Two Dimensions: Algorithms, Complexity and Applications
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On the complexity of approximating and illuminating three-dimensional convex polyhedra
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On dependent randomized rounding algorithms
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Dynamic data structures for fat objects and their applications
inferred← citeshttps://doi.org/10.1007/978-0-387-30162-4_175openalex-snapshot
Greedy Set-Cover Algorithms
inferred← citeshttps://doi.org/10.1007/978-0-387-35608-2_16openalex-snapshot
Guarding Galleries and Terrains
inferred← citeshttps://doi.org/10.1007/978-1-4615-0013-1_18openalex-snapshot
Derandomization in Combinatorial Optimization
inferred← citeshttps://doi.org/10.1007/978-1-4615-0013-1_6openalex-snapshot
Randomized Algorithms for Geometric Optimization Problems
inferred← citeshttps://doi.org/10.1007/978-1-4939-2864-4_175openalex-snapshot
Greedy Set-Cover Algorithms
inferred← citeshttps://doi.org/10.1007/978-3-030-10564-8_32openalex-snapshot
Capacitated Discrete Unit Disk Cover
inferred← citeshttps://doi.org/10.1007/978-3-030-34029-2_10openalex-snapshot
Unit Disk Cover for Massive Point Sets
inferred← citeshttps://doi.org/10.1007/978-3-030-50026-9_2openalex-snapshot
Parameterized Analysis of Art Gallery and Terrain Guarding
inferred← citeshttps://doi.org/10.1007/978-3-030-52824-9_3openalex-snapshot
Sensor Cover
inferred← citeshttps://doi.org/10.1007/978-3-030-52824-9_4openalex-snapshot
Connected Sensor Cover
inferred← citeshttps://doi.org/10.1007/978-3-030-52824-9_8openalex-snapshot
Heterogeneous Sensors
inferred← citeshttps://doi.org/10.1007/978-3-030-79527-6_19openalex-snapshot
Constant Round Distributed Domination on Graph Classes with Bounded Expansion
inferred← citeshttps://doi.org/10.1007/978-3-030-83508-8_32openalex-snapshot
How to Catch Marathon Cheaters: New Approximation Algorithms for Tracking Paths
inferred← citeshttps://doi.org/10.1007/978-3-030-89543-3_50openalex-snapshot
Constrained Hitting Set Problem with Intervals
inferred← citeshttps://doi.org/10.1007/978-3-030-96731-4_27openalex-snapshot
Hypergraph Representation via Axis-Aligned Point-Subspace Cover
inferred← citeshttps://doi.org/10.1007/978-3-031-06901-7_27openalex-snapshot
A PTAS for the Horizontal Rectangle Stabbing Problem
inferred← citeshttps://doi.org/10.1007/978-3-031-32412-3_12openalex-snapshot
Covering a Set of Points with a Minimum Number of Equal Disks via Simulated Annealing
inferred← citeshttps://doi.org/10.1007/978-3-031-49815-2_12openalex-snapshot
Hitting Sets when the Shallow Cell Complexity is Small
inferred← citeshttps://doi.org/10.1007/978-3-031-55598-5_19openalex-snapshot
Guarding Polyominoes Under k-Hop Visibility
inferred← citeshttps://doi.org/10.1007/978-3-031-99928-4_1openalex-snapshot
Fundamentals of Supervised Learning
inferred← citeshttps://doi.org/10.1007/978-3-319-04657-0_4openalex-snapshot
Generalized Class Cover Problem with Axis-Parallel Strips
inferred← citeshttps://doi.org/10.1007/978-3-319-08404-6_31openalex-snapshot
Approximation Algorithms for Hitting Triangle-Free Sets of Line Segments
inferred← citeshttps://doi.org/10.1007/978-3-319-14472-6_16openalex-snapshot
Approximation Algorithms for the Set Cover Formation by Oblivious Mobile Robots
inferred← citeshttps://doi.org/10.1007/978-3-319-21398-9_44openalex-snapshot
Linear Time Approximation Schemes for Geometric Maximum Coverage
inferred← citeshttps://doi.org/10.1007/978-3-319-21852-6_21openalex-snapshot
Bounding Embeddings of VC Classes into Maximum Classes
inferred← citeshttps://doi.org/10.1007/978-3-319-28684-6_13openalex-snapshot
Geometric Hitting Set for Segments of Few Orientations
inferred← citeshttps://doi.org/10.1007/978-3-319-44479-6_15openalex-snapshot
Constant-Factor Approximation for TSP with Disks
inferred← citeshttps://doi.org/10.1007/978-3-319-51741-4_7openalex-snapshot
A Multiplicative Weights Update Algorithm for Packing and Covering Semi-infinite Linear Programs
inferred← citeshttps://doi.org/10.1007/978-3-319-53925-6_5openalex-snapshot
On Guarding Orthogonal Polygons with Sliding Cameras
inferred← citeshttps://doi.org/10.1007/978-3-319-55911-7_20openalex-snapshot
Covering Polygons with Rectangles
inferred← citeshttps://doi.org/10.1007/978-3-319-73013-4_31openalex-snapshot
Hitting Set Problem for Axis-Parallel Squares Intersecting a Straight Line Is Polynomially Solvable for Any Fixed Range of Square Sizes
inferred← citeshttps://doi.org/10.1007/978-3-319-74180-2_7openalex-snapshot
Line Segment Disk Cover
inferred← citeshttps://doi.org/10.1007/978-3-319-89441-6_7openalex-snapshot
Approximating Domination on Intersection Graphs of Paths on a Grid
inferred← citeshttps://doi.org/10.1007/978-3-319-94667-2_6openalex-snapshot
Minimum Polygons for Fixed Visibility VC-Dimension
inferred← citeshttps://doi.org/10.1007/978-3-319-94776-1_16openalex-snapshot
Computing Coverage Kernels Under Restricted Settings
inferred← citeshttps://doi.org/10.1007/978-3-540-30570-5_14openalex-snapshot
Approximately Dominating Representatives
inferred← citeshttps://doi.org/10.1007/978-3-540-69311-6_24openalex-snapshot
A Distributed Algorithm to Approximate Node-Weighted Minimum α-Connected (θ,k)-Coverage in Dense Sensor Networks
inferred← citeshttps://doi.org/10.1007/978-3-540-73951-7_15openalex-snapshot
A Pseudopolynomial Time O(logn)-Approximation Algorithm for Art Gallery Problems
inferred← citeshttps://doi.org/10.1007/978-3-540-74208-1_6openalex-snapshot
Small Approximate Pareto Sets for Bi-objective Shortest Paths and Other Problems
inferred← citeshttps://doi.org/10.1007/978-3-540-77120-3_56openalex-snapshot
Covering Points by Unit Disks of Fixed Location
inferred← citeshttps://doi.org/10.1007/978-3-540-78275-9_4openalex-snapshot
Polyhedral Surface Approximation of Non-convex Voxel Sets through the Modification of Convex Hulls
inferred← citeshttps://doi.org/10.1007/978-3-540-78773-0_64openalex-snapshot
Domination in Geometric Intersection Graphs
inferred← citeshttps://doi.org/10.1007/978-3-540-87744-8_5openalex-snapshot
Stabbing Convex Polygons with a Segment or a Polygon
inferred← citeshttps://doi.org/10.1007/978-3-642-02085-8_22openalex-snapshot
Efficient Sensor Placement for Surveillance Problems
inferred← citeshttps://doi.org/10.1007/978-3-642-03367-4_39openalex-snapshot
A Scheme for Computing Minimum Covers within Simple Regions
inferred← citeshttps://doi.org/10.1007/978-3-642-03417-6_11openalex-snapshot
ε-Net Approach to Sensor k-Coverage
inferred← citeshttps://doi.org/10.1007/978-3-642-11322-2_31openalex-snapshot
Bandwidth Provisioning in Infrastructure-Based Wireless Networks Employing Directional Antennas
inferred← citeshttps://doi.org/10.1007/978-3-642-14031-0_26openalex-snapshot
Exact and Approximation Algorithms for Geometric and Capacitated Set Cover Problems
inferred← citeshttps://doi.org/10.1007/978-3-642-15369-3_13openalex-snapshot
PTAS for Weighted Set Cover on Unit Squares
inferred← citeshttps://doi.org/10.1007/978-3-642-15775-2_41openalex-snapshot
Optimal Cover of Points by Disks in a Simple Polygon
inferred← citeshttps://doi.org/10.1007/978-3-642-19094-0_16openalex-snapshot
On the Discrete Unit Disk Cover Problem
inferred← citeshttps://doi.org/10.1007/978-3-642-20662-7_20openalex-snapshot
A Hub-Based Labeling Algorithm for Shortest Paths in Road Networks
inferred← citeshttps://doi.org/10.1007/978-3-642-21073-0_12openalex-snapshot
Cup Products on Polyhedral Approximations of 3D Digital Images
inferred← citeshttps://doi.org/10.1007/978-3-642-21378-6_11openalex-snapshot
Maximizing Coverage Degree Based on Event Patterns in Wireless Sensor Networks
inferred← citeshttps://doi.org/10.1007/978-3-642-22006-7_58openalex-snapshot
VC-Dimension and Shortest Path Algorithms
inferred← citeshttps://doi.org/10.1007/978-3-642-22935-0_4openalex-snapshot
On Capacitated Set Cover Problems
inferred← citeshttps://doi.org/10.1007/978-3-642-23490-3_10openalex-snapshot
Wireless Coverage via Dynamic Programming
inferred← citeshttps://doi.org/10.1007/978-3-642-23490-3_3openalex-snapshot
Minimum-Cost Linear Coverage by Sensors with Adjustable Ranges
inferred← citeshttps://doi.org/10.1007/978-3-642-23719-5_30openalex-snapshot
Hitting Sets Online and Vertex Ranking
inferred← citeshttps://doi.org/10.1007/978-3-642-23719-5_6openalex-snapshot
On Isolating Points Using Disks
inferred← citeshttps://doi.org/10.1007/978-3-642-27848-8_175-2openalex-snapshot
Greedy Set-Cover Algorithms
inferred← citeshttps://doi.org/10.1007/978-3-642-33090-2_14openalex-snapshot
Weighted Geometric Set Multi-cover via Quasi-uniform Sampling
inferred← citeshttps://doi.org/10.1007/978-3-642-35452-6_18openalex-snapshot
A Novel Approximation Algorithm for Minimum Geometric Disk Cover Problem with Hexagon Tessellation
inferred← citeshttps://doi.org/10.1007/978-3-642-38856-9_21openalex-snapshot
Verification as Learning Geometric Concepts
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Unit Disk Cover Problem in 2D
inferred← citeshttps://doi.org/10.1007/978-3-642-61012-7_12openalex-snapshot
Suchen und Konstruieren durch Verdoppeln
inferred← citeshttps://doi.org/10.1007/978-3-662-47672-7_73openalex-snapshot
A PTAS for the Weighted Unit Disk Cover Problem
inferred← citeshttps://doi.org/10.1007/978-3-662-48350-3_75openalex-snapshot
Geometric Hitting Sets for Disks: Theory and Practice
inferred← citeshttps://doi.org/10.1007/978-3-662-48971-0_39openalex-snapshot
Approximation Algorithms in the Successive Hitting Set Model
inferred← citeshttps://doi.org/10.1007/978-3-662-48971-0_46openalex-snapshot
The VC-Dimension of Visibility on the Boundary of a Simple Polygon
inferred← citeshttps://doi.org/10.1007/978-3-7091-0388-3_7openalex-snapshot
Region-Based Geospatial Abduction with Counter-IED Applications
inferred← citeshttps://doi.org/10.1007/978-981-95-0215-8_20openalex-snapshot
Minimum Membership Geometric Set Cover in the Continuous Setting
inferred← citeshttps://doi.org/10.1007/978-981-96-8312-3_12openalex-snapshot
The Subinterval Cover Problem
inferred← citeshttps://doi.org/10.1007/bf01582131openalex-snapshot
Rounding algorithms for covering problems
inferred← citeshttps://doi.org/10.1007/pl00009325openalex-snapshot
Bounded-Independence Derandomization of Geometric Partitioning with Applications to Parallel Fixed-Dimensional Linear Programming
inferred← citeshttps://doi.org/10.1007/s00224-005-1273-8openalex-snapshot
Constant Approximation Algorithms for Rectangle Stabbing and Related Problems
inferred← citeshttps://doi.org/10.1007/s00224-016-9744-7openalex-snapshot
Geometric Hitting Set for Segments of Few Orientations
inferred← citeshttps://doi.org/10.1007/s00446-006-0012-yopenalex-snapshot
On the establishment of distinct identities in overlay networks
inferred← citeshttps://doi.org/10.1007/s00453-003-1047-0openalex-snapshot
Covering with Ellipses
inferred← citeshttps://doi.org/10.1007/s00453-005-1166-xopenalex-snapshot
Approximation Algorithms for a k-Line Center
inferred← citeshttps://doi.org/10.1007/s00453-009-9358-4openalex-snapshot
Improved Approximations for Guarding 1.5-Dimensional Terrains
inferred← citeshttps://doi.org/10.1007/s00453-010-9458-1openalex-snapshot
A Scheme for Computing Minimum Covers within Simple Regions
inferred← citeshttps://doi.org/10.1007/s00453-011-9517-2openalex-snapshot
Near-Linear Approximation Algorithms for Geometric Hitting Sets
inferred← citeshttps://doi.org/10.1007/s00453-011-9591-5openalex-snapshot
Exact and Approximation Algorithms for Geometric and Capacitated Set Cover Problems
inferred← citeshttps://doi.org/10.1007/s00453-017-0298-0openalex-snapshot
Approximating the Generalized Minimum Manhattan Network Problem
inferred← citeshttps://doi.org/10.1007/s00453-017-0338-9openalex-snapshot
A Clustering-Based Approach to Kinetic Closest Pair
inferred← citeshttps://doi.org/10.1007/s00453-018-00539-4openalex-snapshot
A Multiplicative Weight Updates Algorithm for Packing and Covering Semi-infinite Linear Programs
inferred← citeshttps://doi.org/10.1007/s00453-018-0433-6openalex-snapshot
Guarding Orthogonal Art Galleries with Sliding k-Transmitters: Hardness and Approximation
inferred← citeshttps://doi.org/10.1007/s00453-019-00600-wopenalex-snapshot
Parameterized Complexity of Geometric Covering Problems Having Conflicts
inferred← citeshttps://doi.org/10.1007/s00453-022-01084-xopenalex-snapshot
Improved Bounds for Metric Capacitated Covering Problems
inferred← citeshttps://doi.org/10.1007/s00453-024-01292-7openalex-snapshot
Guarding Polyominoes Under k-Hop Visibility
inferred← citeshttps://doi.org/10.1007/s004539910017openalex-snapshot
Probabilistic Algorithms for Efficient Grasping and Fixturing
inferred← citeshttps://doi.org/10.1007/s00454-001-0026-yopenalex-snapshot
Online Point Location in Planar Arrangements and Its Applications
inferred← citeshttps://doi.org/10.1007/s00454-006-1273-8openalex-snapshot
Improved Approximation Algorithms for Geometric Set Cover
inferred← citeshttps://doi.org/10.1007/s00454-009-9167-1openalex-snapshot
Helly-Type Theorems for Approximate Covering
inferred← citeshttps://doi.org/10.1007/s00454-010-9256-1openalex-snapshot
Bregman Voronoi Diagrams
inferred← citeshttps://doi.org/10.1007/s00454-010-9285-9openalex-snapshot
Improved Results on Geometric Hitting Set Problems
inferred← citeshttps://doi.org/10.1007/s00454-010-9323-7openalex-snapshot
A Non-linear Lower Bound for Planar Epsilon-nets
inferred← citeshttps://doi.org/10.1007/s00454-011-9352-xopenalex-snapshot
Improved Approximation for Guarding Simple Galleries from the Perimeter
inferred← citeshttps://doi.org/10.1007/s00454-012-9410-zopenalex-snapshot
Optimal Partition Trees
inferred← citeshttps://doi.org/10.1007/s00454-012-9417-5openalex-snapshot
Approximation Algorithms for Maximum Independent Set of Pseudo-Disks
inferred← citeshttps://doi.org/10.1007/s00454-014-9656-8openalex-snapshot
An $$O(\lg \lg {\mathrm {OPT}})$$ O ( lg lg OPT ) -Approximation Algorithm for Multi-guarding Galleries
inferred← citeshttps://doi.org/10.1007/s00454-016-9819-xopenalex-snapshot
Limits of Local Search: Quality and Efficiency
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Packing and Covering with Balls on Busemann Surfaces
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( $$\delta ,{\varepsilon }$$ δ , ε )-Ball Approximation of a Shape: Definition and Complexity
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Packing and Covering with Non-Piercing Regions
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Near-Linear Algorithms for Geometric Hitting Sets and Set Covers
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On Separating Points by Lines
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Capacitated Covering Problems in Geometric Spaces
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The VC Dimension of Metric Balls under Fréchet and Hausdorff Distances
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The $\epsilon$-$t$-Net Problem
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On the Geometric Set Multicover Problem
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The Parameterized Complexity of Guarding Almost Convex Polygons
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Geometric Stabbing via Threshold Rounding and Factor Revealing LPs
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Computing Instance-Optimal Kernels in Two Dimensions
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Semi-Algebraic Off-line Range Searching and Biclique Partitions in the Plane
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Optimal Area-Sensitive Bounds for Polytope Approximation
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On k-Path Covers and their applications
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Approximation schemes for NP-hard geometric optimization problems: a survey
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A PTAS for the horizontal rectangle stabbing problem
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Computing Cup Products in $$\mathbb {Z}_2$$ Z 2 -Cohomology of 3D Polyhedral Complexes
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A hybrid heuristic for the rectilinear picture compression problem
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On interval and circular-arc covering problems
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Automatic Subspace Clustering of High Dimensional Data
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Polynomial time approximation schemes for minimum disk cover problems
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Sublinear search spaces for shortest path planning in grid and road networks
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Algorithms for covering multiple submodular constraints and applications
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Voronoi-based heuristic strategies for efficient solutions to the unit disk cover problem
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Improved approximation algorithms for connected sensor cover
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Discrete Geometric Shapes: Matching, Interpolation, and Approximation**Partially supported by Deutsche Forschungsgemeinschaft (DFG), Grant No. A1 253/4-2.
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Derandomization in Computational Geometry
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The robust minimal controllability problem
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Surface roughness of rock faces through the curvature of triangulated meshes
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Polynomial-time approximation schemes for piercing and covering with applications in wireless networks
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The class cover problem with boxes
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Exact algorithms and APX-hardness results for geometric packing and covering problems
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Fast vertex guarding for polygons with and without holes
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Approximating hitting sets of axis-parallel rectangles intersecting a monotone curve
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On the approximability of covering points by lines and related problems
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Tighter estimates for ϵ-nets for disks
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Approximation algorithms for the unit disk cover problem in 2D and 3D
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Polygon guarding with orientation
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The VC-dimension of visibility on the boundary of monotone polygons
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The maximum exposure problem
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Experiments with unit disk cover algorithms for covering massive pointsets
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Generalized class cover problem with axis-parallel strips
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Polynomial time approximation schemes for base station coverage with minimum total radii
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Covering a line segment with variable radius discs
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Polyhedral approximation and practical convex hull algorithm for certain classes of voxel sets
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Hitting sets online and unique-max coloring
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Practical and efficient algorithms for the geometric hitting set problem
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Capacitated discrete unit disk cover
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Line segment disk cover
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Set systems and families of permutations with small traces
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Kernelization and approximation of distance- r independent sets on nowhere dense graphs
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Distributed domination on sparse graph classes
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EQOWSN: Evolutionary-based query optimization over self-organized wireless sensor networks
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Hitting sets when the VC-dimension is small
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Guarding galleries and terrains
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Hausdorff approximation of 3D convex polytopes
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On the VC-dimension of unique round-trip shortest path systems
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Greedy domination on biclique-free graphs
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Monochromatic Partitioning of Colored Points by Lines
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Approximation algorithms for array partitioning problems
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Unified almost linear kernels for generalized covering and packing problems on nowhere dense classes
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Unit disk cover problem in 2D
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Guarding monotone art galleries with sliding cameras in linear time
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On balanced k-coverage in visual sensor networks
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A power-aware 2-covered path routing for wireless body area networks with variable transmission ranges
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The matroid intersection cover problem
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A bicriteria approximation algorithm for the minimum hitting set problem in measurable range spaces
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Bandwidth provisioning in infrastructure-based wireless networks employing directional antennas
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Approximately dominating representatives
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A PTAS for the cardinality constrained covering with unit balls
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The within-strip discrete unit disk cover problem
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Near-linear time approximation schemes for geometric maximum coverage
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