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On lines missing polyhedral sets in 3-space

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Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.

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What this work says

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

inferredcites →https://doi.org/10.1007/1-84628-122-9_6openalex-snapshot
Combinatorial Topology
inferredcites →https://doi.org/10.1007/3-540-50728-0_44openalex-snapshot
Separating a polyhedron by one translation from a set of obstacles
inferredcites →https://doi.org/10.1007/978-1-4612-1098-6openalex-snapshot
Computational Geometry
inferredcites →https://doi.org/10.1007/978-3-642-61568-9openalex-snapshot
Algorithms in Combinatorial Geometry
inferredcites →https://doi.org/10.1007/bf01182771openalex-snapshot
Algorithms for bichromatic line-segment problems and polyhedral terrains
inferredcites →https://doi.org/10.1007/bf01187036openalex-snapshot
Ray shooting on triangles in 3-space
inferredcites →https://doi.org/10.1007/bf02122778openalex-snapshot
A deterministic view of random sampling and its use in geometry
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/10.1007/bf02187804openalex-snapshot
Construction of ɛ-nets
inferredcites →https://doi.org/10.1007/bf02187879openalex-snapshot
New applications of random sampling in computational geometry
inferredcites →https://doi.org/10.1007/bf02293043openalex-snapshot
Finding stabbing lines in 3-space
inferredcites →https://doi.org/10.1016/0925-7721(92)90006-eopenalex-snapshot
Reporting points in halfspaces
inferredcites →https://doi.org/10.1016/0925-7721(94)90016-7openalex-snapshot
On stabbling lines for convex polyhedra in 3D
inferredcites →https://doi.org/10.1016/b978-0-444-87806-9.50018-9openalex-snapshot
Movable Separability of Sets
inferredcites →https://doi.org/10.1038/133967a0openalex-snapshot
Analytical Geometry of Three Dimensions
inferredcites →https://doi.org/10.1137/s0097539792229404openalex-snapshot
On Collision-Free Placements of Simplices and the Closest Pair of Lines in 3-Space
inferredcites →https://doi.org/10.1145/109648.109682openalex-snapshot
On the sum of squares of cell complexities in hyperplane arrangements
inferredcites →https://doi.org/10.1145/129712.129763openalex-snapshot
Ray shooting and parametric search
inferredcites →https://doi.org/10.1145/160985.160989openalex-snapshot
New bounds for lower envelopes in three dimensions, with applications to visibility in terrains
inferredcites →https://doi.org/10.1145/2422.322418openalex-snapshot
Linear Programming in Linear Time When the Dimension Is Fixed
inferredcites →https://doi.org/10.1145/73007.73044openalex-snapshot
Lines in space-combinators, algorithms and applications
inferredcites →https://doi.org/10.1145/73393.73394openalex-snapshot
Applications of random sampling in computational geometry, II
inferredcites →https://doi.org/10.1145/73393.73424openalex-snapshot
On planning assemblies
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/10.1007/11944836_11openalex-snapshot
Computing a Center-Transversal Line
inferred← citeshttps://doi.org/10.1007/s00454-005-1166-2openalex-snapshot
Lines Avoiding Unit Balls in Three Dimensions
inferred← citeshttps://doi.org/10.1007/s00454-006-1278-3openalex-snapshot
Lines Tangent to Four Triangles in Three-Dimensional Space
inferred← citeshttps://doi.org/10.1007/s00454-012-9401-0openalex-snapshot
Lines Avoiding Balls in Three Dimensions Revisited
inferred← citeshttps://doi.org/10.1007/s00454-012-9414-8openalex-snapshot
On the Complexity of Sets of Free Lines and Line Segments Among Balls in Three Dimensions
inferred← citeshttps://doi.org/10.1016/s0925-7721(98)00020-0openalex-snapshot
The union of moving polygonal pseudodiscs — Combinatorial bounds and applications
inferred← citeshttps://doi.org/10.1137/s0097539705447116openalex-snapshot
Lines and Free Line Segments Tangent to Arbitrary Three-Dimensional Convex Polyhedra
inferred← citeshttps://doi.org/10.1145/1810959.1810969openalex-snapshot
On the complexity of sets of free lines and line segments among balls in three dimensions
inferred← citeshttps://doi.org/10.1145/1810959.1810970openalex-snapshot
Lines avoiding balls in three dimensions revisited
inferred← citeshttps://doi.org/10.1145/508357.508362openalex-snapshot
The 3D visibility complex
inferred← citeshttps://doi.org/10.1145/997817.997826openalex-snapshot
On lines avoiding unit balls in three dimensions
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