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Constructing arrangements optimally in parallel
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-3-642-61568-9openalex-snapshot
Algorithms in Combinatorial Geometry
inferredcites →https://doi.org/10.1007/bf01758839openalex-snapshot
Line-segment intersection reporting in parallel
inferredcites →https://doi.org/10.1007/bf01759076openalex-snapshot
Deterministic parallel list ranking
inferredcites →https://doi.org/10.1007/bf02187809openalex-snapshot
Partitioning arrangements of lines II: Applications
inferredcites →https://doi.org/10.1007/bf02187879openalex-snapshot
New applications of random sampling in computational geometry
inferredcites →https://doi.org/10.1007/bfb0040376openalex-snapshot
Deterministic parallel list ranking
inferredcites →https://doi.org/10.1007/bfb0105127openalex-snapshot
Finding the maximum, merging and sorting in a parallel computation model
inferredcites →https://doi.org/10.1016/0022-0000(81)90038-6openalex-snapshot
On uniform circuit complexity
inferredcites →https://doi.org/10.1016/0022-0000(85)90008-xopenalex-snapshot
Routing, merging, and sorting on parallel models of computation
inferredcites →https://doi.org/10.1016/0022-0000(86)90025-5openalex-snapshot
Reporting and counting segment intersections
inferredcites →https://doi.org/10.1016/0022-0000(89)90038-xopenalex-snapshot
Topologically sweeping an arrangement
inferredcites →https://doi.org/10.1016/0196-6774(81)90010-9openalex-snapshot
Finding the maximum, merging, and sorting in a parallel computation model
inferredcites →https://doi.org/10.1016/b978-0-444-88071-0.50022-9openalex-snapshot
Parallel Algorithms for Shared-Memory Machines
inferredcites →https://doi.org/10.1090/dimacs/006/01openalex-snapshot
Geometric partitioning and its applications
inferredcites →https://doi.org/10.1109/sfcs.1980.22openalex-snapshot
Hardware complexity and parallel computation
inferredcites →https://doi.org/10.1109/sfcs.1986.10openalex-snapshot
Approximate and exact parallel scheduling with applications to list, tree and graph problems
inferredcites →https://doi.org/10.1109/sfcs.1989.63477openalex-snapshot
Sorting on a parallel pointer machine with applications to set expression evaluation
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/tc.1979.1675432openalex-snapshot
Algorithms for Reporting and Counting Geometric Intersections
inferredcites →https://doi.org/10.1109/tc.1980.1675628openalex-snapshot
An Optimal Worst Case Algorithm for Reporting Intersections of Rectangles
inferredcites →https://doi.org/10.1109/tc.1983.1676138openalex-snapshot
Searching, Merging, and Sorting in Parallel Computation
inferredcites →https://doi.org/10.1109/tc.1984.1676388openalex-snapshot
Computational Geometry—A Survey
inferredcites →https://doi.org/10.1137/0215024openalex-snapshot
Constructing Arrangements of Lines and Hyperplanes with Applications
inferredcites →https://doi.org/10.1137/0218014openalex-snapshot
Adaptive Bitonic Sorting: An Optimal Parallel Algorithm for Shared-Memory Machines
inferredcites →https://doi.org/10.1137/0218035openalex-snapshot
Cascading Divide-and-Conquer: A Technique for Designing Parallel Algorithms
inferredcites →https://doi.org/10.1137/0220047openalex-snapshot
Intersecting Line Segments in Parallel with an Output-Sensitive Number of Processors
inferredcites →https://doi.org/10.1142/s0218195992000081openalex-snapshot
RANDOMIZED PARALLEL ALGORITHMS FOR TRAPEZOIDAL DIAGRAMS
inferredcites →https://doi.org/10.1145/103418.103470openalex-snapshot
Approximations and optimal geometric divide-and-conquer
inferredcites →https://doi.org/10.1145/10515.10544openalex-snapshot
Quadratic bounds for hidden line elimination
inferredcites →https://doi.org/10.1145/12130.12151openalex-snapshot
Deterministic coin tossing and accelerating cascades: micro and macro techniques for designing parallel algorithms
inferredcites →https://doi.org/10.1145/12130.12171openalex-snapshot
Topologically sweeping an arrangement
inferredcites →https://doi.org/10.1145/147508.147511openalex-snapshot
An optimal algorithm for intersecting line segments in the plane
inferredcites →https://doi.org/10.1145/226643.226670openalex-snapshot
Sorting on a parallel pointer machine with applications to set expression evaluation
inferredcites →https://doi.org/10.1145/321812.321815openalex-snapshot
The Parallel Evaluation of General Arithmetic Expressions
inferredcites →https://doi.org/10.1145/73393.73394openalex-snapshot
Applications of random sampling in computational geometry, II
inferredcites →https://doi.org/10.1145/97444.97696openalex-snapshot
Efficient parallel computation of arrangements of hyperplanes in d dimensions
inferredcites →https://doi.org/10.1145/97444.97697openalex-snapshot
Parallel algorithms for arrangements
inferredcites →https://doi.org/10.2307/2008200openalex-snapshot
Computational Geometry--An Introduction.
inferredcites →https://doi.org/10.2307/2325168openalex-snapshot
Algorithms in Combinatorial Geometry.
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/3-540-56402-0_38openalex-snapshot
Parallel triangulation of nonconvex polytopes
inferred← citeshttps://doi.org/10.1007/978-1-4615-0013-1_18openalex-snapshot
Derandomization in Combinatorial Optimization
inferred← citeshttps://doi.org/10.1007/978-3-642-21931-3_2openalex-snapshot
An Optimal Hidden-Surface Algorithm and Its Parallelization
inferred← citeshttps://doi.org/10.1007/bf01941684openalex-snapshot
Parallel algorithms for arrangements
inferred← citeshttps://doi.org/10.1007/s11227-020-03299-7openalex-snapshot
Windowing queries using Minkowski sum and their extension to MapReduce
inferred← citeshttps://doi.org/10.1016/b978-044482537-7/50003-6openalex-snapshot
Arrangements and Their Applications**Work by PA. was supported by Army Research Office MURI grant DAAH04-96-1-0013, by a Sloan fellowship, by an NYI award, and by a grant from the U.S.–Israeli Binational Science Foundation. Work by M.S. was supported by NSF Grants CCR-91-22103 and CCR-93-11127, by…
inferred← citeshttps://doi.org/10.1016/b978-044482537-7/50005-xopenalex-snapshot
Deterministic Parallel Computational Geometry
inferred← citeshttps://doi.org/10.1109/ipps.1993.262819openalex-snapshot
Experimental evidence for the power of random sampling in practical parallel algorithms
inferred← citeshttps://doi.org/10.1109/sfcs.1994.365724openalex-snapshot
Parallel algorithms for higher-dimensional convex hulls
inferred← citeshttps://doi.org/10.1145/160985.161002openalex-snapshot
Geometric partitioning made easier, even in parallel
inferred← citeshttps://doi.org/10.1201/9781420011296.ch18openalex-snapshot
Parallel Algorithms via the Probabilistic Method
inferred← citeshttps://doi.org/10.48550/arxiv.1706.05412openalex-snapshot
A Practical Algorithm for Enumerating Collinear Points
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