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On levels in arrangements and voronoi diagrams

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What this work says

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

inferredcites →https://doi.org/10.1007/978-1-4612-1098-6openalex-snapshot
Computational Geometry
inferredcites →https://doi.org/10.1007/bf01840438openalex-snapshot
Edge-skeletons in arrangements with applications
inferredcites →https://doi.org/10.1007/bf02187681openalex-snapshot
Voronoi diagrams and arrangements
inferredcites →https://doi.org/10.1007/bf02187685openalex-snapshot
Halfspace range search: An algorithmic application ofk-sets
inferredcites →https://doi.org/10.1007/bf02187686openalex-snapshot
More onk-sets of finite sets in the plane
inferredcites →https://doi.org/10.1007/bf02187879openalex-snapshot
New applications of random sampling in computational geometry
inferredcites →https://doi.org/10.1016/0020-0190(79)90074-7openalex-snapshot
Voronoi diagrams from convex hulls
inferredcites →https://doi.org/10.1016/0097-3165(84)90081-5openalex-snapshot
On the number of k-subsets of a set of n points in the plane
inferredcites →https://doi.org/10.1016/0097-3165(86)90122-6openalex-snapshot
The number of small semispaces of a finite set of points in the plane
inferredcites →https://doi.org/10.1016/b978-0-7204-2262-7.50018-1openalex-snapshot
Dissection Graphs of Planar Point Sets
inferredcites →https://doi.org/10.1109/sfcs.1988.21974openalex-snapshot
A fast planar partition algorithm. I
inferredcites →https://doi.org/10.1109/sfcs.1989.63540openalex-snapshot
On obstructions in relation to a fixed viewpoint
inferredcites →https://doi.org/10.1109/tc.1982.1676031openalex-snapshot
On k-Nearest Neighbor Voronoi Diagrams in the Plane
inferredcites →https://doi.org/10.1137/0215024openalex-snapshot
Constructing Arrangements of Lines and Hyperplanes with Applications
inferredcites →https://doi.org/10.1145/102782.102785openalex-snapshot
A fast planar partition algorithm, II
inferredcites →https://doi.org/10.1145/28395.28400openalex-snapshot
A Linear time algorithm for computing the Voronoi diagram of a convex polygon
inferredcites →https://doi.org/10.1145/323233.323263openalex-snapshot
An improved algorithm for constructing kth-order Voronoi diagrams
inferredcites →https://doi.org/10.1145/73393.73394openalex-snapshot
Applications of random sampling in computational geometry, II
inferredcites →https://doi.org/10.1145/73393.73395openalex-snapshot
Algorithms for diametral pairs and convex hulls that are optimal, randomized, and incremental
inferredcites →https://doi.org/10.1145/73833.73837openalex-snapshot
A fast planar partition algorithm, II
inferredcites →https://doi.org/10.1145/74333.74372openalex-snapshot
An efficient algorithm for hidden surface removal
inferredcites →https://doi.org/10.1145/74334.74372openalex-snapshot
An efficient algorithm for hidden surface removal
inferredcites →https://doi.org/10.1145/800057.808677openalex-snapshot
On k-hulls and related problems
inferredcites →https://doi.org/10.13182/nse68-a19548openalex-snapshot
The Art of Computer Programming

What points at this work

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

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The impact of heterogeneity and geometry on the proof complexity of random satisfiability
inferred← citeshttps://doi.org/10.1006/jagm.1996.0027openalex-snapshot
Derandomization in Computational Geometry
inferred← citeshttps://doi.org/10.1007/3-540-48447-7_1openalex-snapshot
Optimization over k-set Polytopes and Efficient k-set Enumeration
inferred← citeshttps://doi.org/10.1007/3-540-61680-2_64openalex-snapshot
Reporting red-blue intersections between two sets of connected line segments
inferred← citeshttps://doi.org/10.1007/978-3-642-23719-5_7openalex-snapshot
An Output-Sensitive Approach for the L 1/L ∞ k-Nearest-Neighbor Voronoi Diagram
inferred← citeshttps://doi.org/10.1007/978-3-642-31155-0_6openalex-snapshot
Higher Order City Voronoi Diagrams
inferred← citeshttps://doi.org/10.1007/978-3-642-83539-1_9openalex-snapshot
Davenport-Schinzel Sequences and their Geometric Applications
inferred← citeshttps://doi.org/10.1007/bf01228508openalex-snapshot
A semidynamic construction of higher-order voronoi diagrams and its randomized analysis
inferred← citeshttps://doi.org/10.1007/bf01264915openalex-snapshot
On the total weight of arrangements of halfplanes
inferred← citeshttps://doi.org/10.1007/bf01293483openalex-snapshot
Dynamic half-space range reporting and its applications
inferred← citeshttps://doi.org/10.1007/bf01940875openalex-snapshot
Randomized geometric algorithms and pseudorandom generators
inferred← citeshttps://doi.org/10.1007/bf02570713openalex-snapshot
On geometric optimization with few violated constraints
inferred← citeshttps://doi.org/10.1007/bf02573989openalex-snapshot
Arrangements of oriented hyperplanes
inferred← citeshttps://doi.org/10.1007/bfb0028249openalex-snapshot
Fully dynamic delaunay triangulation in logarithmic expected time per operation
inferred← citeshttps://doi.org/10.1007/bfb0035458openalex-snapshot
Deterministic sampling and optimization
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k-violation linear programming
inferred← citeshttps://doi.org/10.1007/s00453-002-0967-4openalex-snapshot
Reporting Red--Blue Intersections between Two Sets of Connected Line Segments
inferred← citeshttps://doi.org/10.1007/s00453-013-9809-9openalex-snapshot
The k-Nearest-Neighbor Voronoi Diagram Revisited
inferred← citeshttps://doi.org/10.1007/s00453-022-01027-6openalex-snapshot
A Simple Algorithm for Higher-Order Delaunay Mosaics and Alpha Shapes
inferred← citeshttps://doi.org/10.1007/s00454-020-00243-7openalex-snapshot
Dynamic Planar Voronoi Diagrams for General Distance Functions and Their Algorithmic Applications
inferred← citeshttps://doi.org/10.1007/s00454-023-00492-2openalex-snapshot
Unbounded Regions of High-Order Voronoi Diagrams of Lines and Line Segments in Higher Dimensions
inferred← citeshttps://doi.org/10.1007/s00778-023-00804-1openalex-snapshot
Quantifying the competitiveness of a dataset in relation to general preferences
inferred← citeshttps://doi.org/10.1007/s00778-026-00972-wopenalex-snapshot
A framework for top-k queries with constrained preferences
inferred← citeshttps://doi.org/10.1007/s10115-018-1290-yopenalex-snapshot
Cost optimization based on influence and user preference
inferred← citeshttps://doi.org/10.1007/s10898-024-01386-0openalex-snapshot
The edge labeling of higher order Voronoi diagrams
inferred← citeshttps://doi.org/10.1016/0020-0190(94)00134-0openalex-snapshot
k-Violation linear programming
inferred← citeshttps://doi.org/10.1016/0022-0000(93)90041-topenalex-snapshot
Output sensitive and dynamic constructions of higher order voronoi diagrams and levels in arrangements
inferred← citeshttps://doi.org/10.1016/0304-3975(95)00174-3openalex-snapshot
An introduction to randomization in computational geometry
inferred← citeshttps://doi.org/10.1016/0925-7721(92)90025-nopenalex-snapshot
Fully dynamic delaunay triangulation in logarithmic expected time per operation
inferred← citeshttps://doi.org/10.1016/b978-044482537-7/50002-4openalex-snapshot
Davenport–Schinzel Sequences and Their Geometric Applications**Both authors have been supported by a grant from the U.S.–Israeli Binational Science Foundation. Pankaj Agarwal has also been supported by a National Science Foundation Grant CCR-93–01259, by an Army Research Office MURI grant…
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/b978-044482537-7/50006-1openalex-snapshot
Voronoi Diagrams**Partially supported by the Deutsche Forschungsgemeinschaft, grant K1 655 2-2.
inferred← citeshttps://doi.org/10.1016/b978-044482537-7/50014-0openalex-snapshot
Derandomization in Computational Geometry
inferred← citeshttps://doi.org/10.1016/b978-044482537-7/50017-6openalex-snapshot
Randomized Algorithms in Computational Geometry
inferred← citeshttps://doi.org/10.1016/j.jda.2017.04.003openalex-snapshot
On the arrangement of stochastic lines in R2
inferred← citeshttps://doi.org/10.1109/5.163409openalex-snapshot
Dynamic algorithms in computational geometry
inferred← citeshttps://doi.org/10.1109/icde.2016.7498283openalex-snapshot
Influence based cost optimization on user preference
inferred← citeshttps://doi.org/10.1109/sfcs.1989.63540openalex-snapshot
On obstructions in relation to a fixed viewpoint
inferred← citeshttps://doi.org/10.1109/sfcs.1991.185368openalex-snapshot
Randomized multidimensional search trees: lazy balancing and dynamic shuffling
inferred← citeshttps://doi.org/10.1109/sfcs.1991.185369openalex-snapshot
Dynamic maintenance of geometric structures made easy
inferred← citeshttps://doi.org/10.1109/sfcs.1991.185371openalex-snapshot
Randomized multidimensional search trees: further results in dynamic sampling
inferred← citeshttps://doi.org/10.1109/sfcs.1992.267815openalex-snapshot
Randomized geometric algorithms and pseudo-random generators
inferred← citeshttps://doi.org/10.1109/sfcs.1998.743509openalex-snapshot
Random sampling, halfspace range reporting, and construction of (≤k)-levels in three dimensions
inferred← citeshttps://doi.org/10.1137/060669474openalex-snapshot
On Approximating the Depth and Related Problems
inferred← citeshttps://doi.org/10.1137/1.9781611976465.4openalex-snapshot
The Impact of Heterogeneity and Geometry on the Proof Complexity of Random Satisfiability
inferred← citeshttps://doi.org/10.1137/s0097539703427963openalex-snapshot
Shape Fitting with Outliers
inferred← citeshttps://doi.org/10.1137/s0097539795281840openalex-snapshot
Constructing Levels in Arrangements and Higher Order Voronoi Diagrams
inferred← citeshttps://doi.org/10.1137/s0097539795295936openalex-snapshot
Vertical Decomposition of Shallow Levels in 3-Dimensional Arrangements and Its Applications
inferred← citeshttps://doi.org/10.1137/s0097539798349188openalex-snapshot
Random Sampling, Halfspace Range Reporting, and Construction of \lowercase$(\le k)$-Levels in Three Dimensions
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RANDOMIZATION YIELDS SIMPLE O(n log ⋆ n) ALGORITHMS FOR DIFFICULT Ω(n) PROBLEMS
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Output sensitive construction of levels and Voronoi diagrams in R d of order 1 to k
inferred← citeshttps://doi.org/10.1145/102782.102785openalex-snapshot
A fast planar partition algorithm, II
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A simple on-line randomized incremental algorithm for computing higher order Voronoi diagrams
inferred← citeshttps://doi.org/10.1145/116873.116880openalex-snapshot
Voronoi diagrams—a survey of a fundamental geometric data structure
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Ray shooting and parametric search
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An optimal algorithm for the (≤ k)-levels, with applications to separation and transversal problems
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Dehn-Sommerville relations, upper bound theorem, and levels in arrangements
inferred← citeshttps://doi.org/10.1145/177424.177521openalex-snapshot
Constructing levels in arrangements and higher order Voronoi diagrams
inferred← citeshttps://doi.org/10.1145/177424.178039openalex-snapshot
On geometric optimization with few violated constraints
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Computational geometry
inferred← citeshttps://doi.org/10.1145/220279.220284openalex-snapshot
Vertical decomposition of shallow levels in 3-dimensional arrangements and its applications
inferred← citeshttps://doi.org/10.1145/3448016.3452832openalex-snapshot
On m-Impact Regions and Standing Top-k Influence Problems
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On Finding Rank Regret Representatives
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A fast planar partition algorithm, II
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An efficient algorithm for hidden surface removal
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Shape fitting with outliers
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Incremental constructions con BRIO
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Meshing piecewise smooth complexes
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Exact processing of uncertain top-k queries in multi-criteria settings
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Multi-cover persistence and Delaunay mosaics
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Algorithmic Bayesian Persuasion with Combinatorial Actions
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Dynamic Planar Voronoi Diagrams for General Distance Functions and Their Algorithmic Applications
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Diagramas de Voronoi de ordem k na geometria projetiva orientada
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A Unified Framework for Efficiently Processing Ranking Related Queries
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On approximating the depth and related problems
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