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On the zone theorem for hyperplane arrangements

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What this work says

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

inferredcites →https://doi.org/10.1007/3-540-19488-6_118openalex-snapshot
Arrangements of curves in the plane — topology, combinatorics, and algorithms
inferredcites →https://doi.org/10.1007/978-3-642-61568-9openalex-snapshot
Algorithms in Combinatorial Geometry
inferredcites →https://doi.org/10.1007/bf01934990openalex-snapshot
The power of geometric duality
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/bf02187734openalex-snapshot
The upper envelope of piecewise linear functions: Tight bounds on the number of faces
inferredcites →https://doi.org/10.1007/bf02187784openalex-snapshot
The complexity and construction of many faces in arrangements of lines and of segments
inferredcites →https://doi.org/10.1016/0022-0000(89)90038-xopenalex-snapshot
Topologically sweeping an arrangement
inferredcites →https://doi.org/10.1090/dimacs/006/03openalex-snapshot
Horizon theorems for lines and polygons
inferredcites →https://doi.org/10.1137/0215024openalex-snapshot
Constructing Arrangements of Lines and Hyperplanes with Applications
inferredcites →https://doi.org/10.1145/109648.109682openalex-snapshot
On the sum of squares of cell complexities in hyperplane arrangements
inferredcites →https://doi.org/10.1145/12130.12171openalex-snapshot
Topologically sweeping an arrangement
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/10.1007/978-0-387-74759-0_94openalex-snapshot
Convex Discrete Optimization
inferred← citeshttps://doi.org/10.1007/978-3-319-26995-5_1openalex-snapshot
Introduction
inferred← citeshttps://doi.org/10.1007/978-3-319-26995-5_2openalex-snapshot
Non-convex Region Description by Hyperplane Arrangements
inferred← citeshttps://doi.org/10.1007/bf01266616openalex-snapshot
A theorem on the average number of subfaces in arrangements and oriented matroids
inferred← citeshttps://doi.org/10.1007/bf02189317openalex-snapshot
On the zone of a surface in a hyperplane arrangement
inferred← citeshttps://doi.org/10.1007/s00454-004-1138-yopenalex-snapshot
Convex Combinatorial Optimization
inferred← citeshttps://doi.org/10.1007/s10878-007-9063-7openalex-snapshot
The use of edge-directions and linear programming to enumerate vertices
inferred← citeshttps://doi.org/10.1016/0925-7721(94)90009-4openalex-snapshot
Point location among hyperplanes and unidirectional ray-shooting
inferred← citeshttps://doi.org/10.1016/j.dam.2006.06.014openalex-snapshot
The partition bargaining problem
inferred← citeshttps://doi.org/10.1016/j.ipl.2021.106161openalex-snapshot
Zone theorem for arrangements in dimension three
inferred← citeshttps://doi.org/10.1109/acc.2011.5990908openalex-snapshot
On the hyperplanes arrangements in mixed-integer techniques
inferred← citeshttps://doi.org/10.1112/plms/s3-70.3.691openalex-snapshot
Polytope Containment and Determination by Linear Probes
inferred← citeshttps://doi.org/10.1137/0406019openalex-snapshot
Minkowski Addition of Polytopes: Computational Complexity and Applications to Gröbner Bases
inferred← citeshttps://doi.org/10.1137/s0895480102408559openalex-snapshot
Convex Matroid Optimization
inferred← citeshttps://doi.org/10.1142/s0218195912600011openalex-snapshot
THE ONION DIAGRAM: A VORONOI-LIKE TESSELLATION OF A PLANAR LINE SPACE AND ITS APPLICATIONS
inferred← citeshttps://doi.org/10.1145/167088.167224openalex-snapshot
Piecewise linear paths among convex obstacles
inferred← citeshttps://doi.org/10.17169/refubium-30436openalex-snapshot
On the Average Complexity of the $k$-Level
inferred← citeshttps://doi.org/10.22215/etd/2023-15445openalex-snapshot
Constrained Geometric Optimization Problems
inferred← citeshttps://doi.org/10.3233/978-1-60750-718-5-183openalex-snapshot
Convex Discrete Optimization
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