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On Levels in Arrangements of Lines, Segments, Planes, and Triangles%

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

inferredcites →https://doi.org/10.1007/3-540-63890-3_16openalex-snapshot
A characterization of planar graphs by pseudo-line arrangements
inferredcites →https://doi.org/10.1007/978-3-642-58043-7_6openalex-snapshot
Allowable Sequences and Order Types in Discrete and Computational Geometry
inferredcites →https://doi.org/10.1007/978-3-642-61568-9openalex-snapshot
Algorithms in Combinatorial Geometry
inferredcites →https://doi.org/10.1007/978-3-642-83539-1_9openalex-snapshot
Davenport-Schinzel Sequences and their Geometric Applications
inferredcites →https://doi.org/10.1007/bf02187732openalex-snapshot
The upper envelope of piecewise linear functions and the boundary of a region enclosed by convex plates: Combinatorial analysis
inferredcites →https://doi.org/10.1007/bf02187733openalex-snapshot
The upper envelope of piecewise linear functions: Algorithms and applications
inferredcites →https://doi.org/10.1007/bf02187740openalex-snapshot
Applications of random sampling in computational geometry, II
inferredcites →https://doi.org/10.1007/bf02187783openalex-snapshot
Combinatorial complexity bounds for arrangements of curves and spheres
inferredcites →https://doi.org/10.1007/bf02187829openalex-snapshot
An upper bound on the number of planarK-sets
inferredcites →https://doi.org/10.1007/bf02573988openalex-snapshot
A bound on local minima of arrangements that implies the upper bound theorem
inferredcites →https://doi.org/10.1007/bf02574035openalex-snapshot
On minimum and maximum spanning trees of linearly moving points
inferredcites →https://doi.org/10.1007/bf02574381openalex-snapshot
Counting triangle crossings and halving planes
inferredcites →https://doi.org/10.1007/bf02574700openalex-snapshot
Points and triangles in the plane and halving planes in space
inferredcites →https://doi.org/10.1007/pl00009348openalex-snapshot
On Levels in Arrangements of Lines, Segments, Planes, and Triangles%
inferredcites →https://doi.org/10.1016/0020-0190(91)90076-topenalex-snapshot
On disjoint concave chains in arrangements of (pseudo) lines
inferredcites →https://doi.org/10.1016/0020-0190(94)00057-3openalex-snapshot
On disjoint concave chains in arrangements of (pseudo) lines
inferredcites →https://doi.org/10.1016/0097-3165(92)90028-sopenalex-snapshot
The colored Tverberg's problem and complexes of injective functions
inferredcites →https://doi.org/10.1016/0925-7721(92)90006-eopenalex-snapshot
Reporting points in halfspaces
inferredcites →https://doi.org/10.1016/b978-0-7204-2262-7.50018-1openalex-snapshot
Dissection Graphs of Planar Point Sets
inferredcites →https://doi.org/10.1145/160985.161148openalex-snapshot
Counting triangle crossings and halving planes
inferredcites →https://doi.org/10.1145/220279.220304openalex-snapshot
How to cut pseudo-parabolas into segments
inferredcites →https://doi.org/10.1145/225058.225284openalex-snapshot
Geometric lower bounds for parametric matroid optimization
inferredcites →https://doi.org/10.1145/262839.262856openalex-snapshot
On levels in arrangements of lines, segments, planes, and triangles
inferredcites →https://doi.org/10.1145/73393.73394openalex-snapshot
Applications of random sampling in computational geometry, II
inferredcites →https://doi.org/10.1201/9781420010749-38openalex-snapshot
Sensitivity Analysis in Combinatorial Optimization
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/10.1006/jcss.2000.1709openalex-snapshot
Efficient Searching with Linear Constraints
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Separability with Outliers
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Approximating the k-Level in Three-Dimensional Plane Arrangements
inferred← citeshttps://doi.org/10.1007/978-3-540-30551-4_9openalex-snapshot
Polyline Fitting of Planar Points Under Min-sum Criteria
inferred← citeshttps://doi.org/10.1007/978-3-540-45078-8_12openalex-snapshot
Extremal Configurations and Levels in Pseudoline Arrangements
inferred← citeshttps://doi.org/10.1007/pl00009354openalex-snapshot
Improved Bounds for Planar k -Sets and Related Problems
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An Improved Bound for k-Sets in Three Dimensions
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Recognition of Flat Orbifolds and the Classification of Tilings in R 3
inferred← citeshttps://doi.org/10.1007/s00454-001-0086-zopenalex-snapshot
K-Levels of Concave Surfaces
inferred← citeshttps://doi.org/10.1007/s00454-002-2840-2openalex-snapshot
On Levels in Arrangements of Curves
inferred← citeshttps://doi.org/10.1007/s00454-005-1165-3openalex-snapshot
On Levels in Arrangements of Curves, II: A Simple Inequality and Its Consequences
inferred← citeshttps://doi.org/10.1007/s00454-005-1200-4openalex-snapshot
k-Sets in Four Dimensions
inferred← citeshttps://doi.org/10.1007/s00454-010-9248-1openalex-snapshot
Relative (p,ε)-Approximations in Geometry
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/s00454-012-9428-2openalex-snapshot
On Levels in Arrangements of Surfaces in Three Dimensions
inferred← citeshttps://doi.org/10.1007/s00454-016-9784-4openalex-snapshot
Optimal Deterministic Algorithms for 2-d and 3-d Shallow Cuttings
inferred← citeshttps://doi.org/10.1007/s00454-016-9811-5openalex-snapshot
Straight Skeletons and Mitered Offsets of Nonconvex Polytopes
inferred← citeshttps://doi.org/10.1007/s00454-022-00469-7openalex-snapshot
Improved Bounds for the Expected Number of k-Sets
inferred← citeshttps://doi.org/10.1007/s004540010022openalex-snapshot
Point Sets with Many k-Sets
inferred← citeshttps://doi.org/10.1007/s10115-018-1290-yopenalex-snapshot
Cost optimization based on influence and user preference
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/j.comgeo.2015.11.001openalex-snapshot
Kinetic k-Semi-Yao graph and its applications
inferred← citeshttps://doi.org/10.1016/j.dam.2012.03.009openalex-snapshot
Minimizing the error of linear separators on linearly inseparable data
inferred← citeshttps://doi.org/10.1016/j.disc.2021.112354openalex-snapshot
On the complexity of the k -level in arrangements of pseudoplanes
inferred← citeshttps://doi.org/10.1016/j.jcta.2017.02.006openalex-snapshot
Cutting algebraic curves into pseudo-segments and applications
inferred← citeshttps://doi.org/10.1016/j.jda.2017.04.003openalex-snapshot
On the arrangement of stochastic lines in R2
inferred← citeshttps://doi.org/10.1016/j.tcs.2017.11.031openalex-snapshot
Minimum width color spanning annulus
inferred← citeshttps://doi.org/10.1016/j.tcs.2025.115583openalex-snapshot
On k -enclosing slab problems
inferred← citeshttps://doi.org/10.1016/s0012-365x(02)00430-2openalex-snapshot
On halving line arrangements
inferred← citeshttps://doi.org/10.1016/s0166-218x(00)00253-5openalex-snapshot
The k-centrum multi-facility location problem
inferred← citeshttps://doi.org/10.1016/s0166-218x(01)00217-7openalex-snapshot
Crossing-free segments and triangles in point configurations
inferred← citeshttps://doi.org/10.1017/s0963548310000143openalex-snapshot
An Improved Bound for k-Sets in Four Dimensions
inferred← citeshttps://doi.org/10.1109/icde.2016.7498283openalex-snapshot
Influence based cost optimization on user preference
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/10.1109/sfcs.2000.892109openalex-snapshot
On levels in arrangements of curves
inferred← citeshttps://doi.org/10.1109/sfcs.2002.1181981openalex-snapshot
Low-dimensional linear programming with violations
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On levels in arrangements of curves. II. A simple inequality and its consequences
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Taking a walk in a planar arrangement
inferred← citeshttps://doi.org/10.1109/sffcs.1999.814610openalex-snapshot
Lovasz's lemma for the three-dimensional K-level of concave surfaces and its applications
inferred← citeshttps://doi.org/10.1137/1.9781611974331.ch83openalex-snapshot
Approximating the k-Level in Three-Dimensional Plane Arrangements
inferred← citeshttps://doi.org/10.1137/s0097539703439404openalex-snapshot
Low-Dimensional Linear Programming with Violations
inferred← citeshttps://doi.org/10.1137/s0097539798349188openalex-snapshot
Random Sampling, Halfspace Range Reporting, and Construction of \lowercase$(\le k)$-Levels in Three Dimensions
inferred← citeshttps://doi.org/10.1137/s0097539799362627openalex-snapshot
Taking a Walk in a Planar Arrangement
inferred← citeshttps://doi.org/10.1142/s0218195902000967openalex-snapshot
PARAMETRIC POLYMATROID OPTIMIZATION AND ITS GEOMETRIC APPLICATIONS
inferred← citeshttps://doi.org/10.1142/s0218195906001951openalex-snapshot
POLYLINE FITTING OF PLANAR POINTS UNDER MIN-SUM CRITERIA
inferred← citeshttps://doi.org/10.1142/s0218195997000314openalex-snapshot
Computational Geometry Column 32
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On levels in arrangements of curves, iii
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Approximation algorithms for maximum independent set of pseudo-disks
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On the bichromatic k -set problem
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Computational geometry column 32
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Efficient searching with linear constraints
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Results on k-sets and j-facets via continuous motion
inferred← citeshttps://doi.org/10.1145/336154.336171openalex-snapshot
Point sets with many k -sets
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An improved bound for k -sets in three dimensions
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T-LevelIndex: Towards Efficient Query Processing in Continuous Preference Space
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Notes on computing peaks in k-levels and parametric spanning trees
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Guarantees concerning geometric objects with imprecise points
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Creating top ranking options in the continuous option and preference space
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XIII Encuentros de Geometría Computacional. Zaragoza, 29 de junio al 1 de julio de 2009
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Approximation Algorithms for Maximum Independent Set of Pseudo-Disks
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Depth contours in arrangements of halfplanes
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On levels in arrangements of surfaces in three dimensions
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Guarding problems and geometric split trees
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