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Sharp Bounds on Geometric Permutations of Pairwise Disjoint Balls in R d

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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/bf02187708openalex-snapshot
Geometric permutations and common transversals
inferredcites →https://doi.org/10.1007/bf02187777openalex-snapshot
Upper bounds on geometric permutations for convex sets
inferredcites →https://doi.org/10.1007/bf02187778openalex-snapshot
The maximum number of ways to stabn convex nonintersecting sets in the plane is 2n−2
inferredcites →https://doi.org/10.1007/bf02187836openalex-snapshot
The different ways of stabbing disjoint convex sets
inferredcites →https://doi.org/10.1007/pl00009427openalex-snapshot
Line Transversals of Balls and Smallest Enclosing Cylinders in Three Dimensions
inferredcites →https://doi.org/10.1016/0012-365x(85)90111-6openalex-snapshot
Geometric permutations for convex sets
inferredcites →https://doi.org/10.1016/0012-365x(87)90057-4openalex-snapshot
Geometric permutations of disjoint translates of convex sets

What points at this work

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

inferred← citeshttps://doi.org/10.1007/3-540-45471-3_14openalex-snapshot
On Neighbors in Geometric Permutations
inferred← citeshttps://doi.org/10.1007/978-1-4419-0999-2_3openalex-snapshot
Some Discrete Properties of the Space of Line Transversals to Disjoint Balls
inferred← citeshttps://doi.org/10.1007/978-3-540-39658-1_14openalex-snapshot
Disjoint Unit Spheres admit at Most Two Line Transversals
inferred← citeshttps://doi.org/10.1007/978-3-642-55566-4_7openalex-snapshot
Geometric Permutations of Large Families of Translates
inferred← citeshttps://doi.org/10.1007/s00224-005-1273-8openalex-snapshot
Constant Approximation Algorithms for Rectangle Stabbing and Related Problems
inferred← citeshttps://doi.org/10.1007/s00454-001-0044-9openalex-snapshot
A Tight Bound on the Number of Geometric Permutations of Convex Fat Objects in R d
inferred← citeshttps://doi.org/10.1007/s00454-002-2828-yopenalex-snapshot
A Constant Bound for Geometric Permutations of Disjoint Unit Balls
inferred← citeshttps://doi.org/10.1007/s00454-004-1110-xopenalex-snapshot
Forbidden Families of Geometric Permutations in ℝd
inferred← citeshttps://doi.org/10.1007/s00454-005-1174-2openalex-snapshot
Geometric Permutations Induced by Line Transversals through a Fixed Point
inferred← citeshttps://doi.org/10.1007/s00454-005-1183-1openalex-snapshot
Transversals to Line Segments in Three-Dimensional Space
inferred← citeshttps://doi.org/10.1007/s00454-007-9016-zopenalex-snapshot
Line Transversals to Disjoint Balls
inferred← citeshttps://doi.org/10.1016/j.aim.2013.11.004openalex-snapshot
Helly numbers of acyclic families
inferred← citeshttps://doi.org/10.1016/j.comgeo.2004.03.011openalex-snapshot
Geometric permutations of higher dimensional spheres
inferred← citeshttps://doi.org/10.1016/j.comgeo.2004.08.003openalex-snapshot
Geometric permutations of disjoint unit spheres
inferred← citeshttps://doi.org/10.1016/j.comgeo.2015.12.003openalex-snapshot
Geometric permutations of non-overlapping unit balls revisited
inferred← citeshttps://doi.org/10.1016/j.ejc.2012.06.007openalex-snapshot
Set systems and families of permutations with small traces
inferred← citeshttps://doi.org/10.1016/s0012-365x(03)00052-9openalex-snapshot
On neighbors in geometric permutations
inferred← citeshttps://doi.org/10.1016/s0925-7721(02)00169-4openalex-snapshot
Geometric permutations of balls with bounded size disparity
inferred← citeshttps://doi.org/10.1109/focs.2010.41openalex-snapshot
Improved Bounds for Geometric Permutations
inferred← citeshttps://doi.org/10.1137/080744694openalex-snapshot
Line Transversals of Convex Polyhedra in $\mathbb{R}^3$
inferred← citeshttps://doi.org/10.1137/110835918openalex-snapshot
Improved Bounds for Geometric Permutations
inferred← citeshttps://doi.org/10.1142/s021819590100047xopenalex-snapshot
COMPUTATIONAL GEOMETRY COLUMN 41
inferred← citeshttps://doi.org/10.1142/s0218195911003731openalex-snapshot
INFLATING BALLS IS NP-HARD
inferred← citeshttps://doi.org/10.1145/1247069.1247115openalex-snapshot
Line transversals to disjoint balls
inferred← citeshttps://doi.org/10.1145/2261250.2261282openalex-snapshot
Multinerves and helly numbers of acyclic families
inferred← citeshttps://doi.org/10.1145/568438.568452openalex-snapshot
Computational geometry column 41
inferred← citeshttps://doi.org/10.48550/arxiv.0807.1221openalex-snapshot
Line Transversals of Convex Polyhedra in $\reals^3$
inferred← citeshttps://doi.org/10.48550/arxiv.1007.3244openalex-snapshot
Improved Bounds for Geometric Permutations
inferred← citeshttps://doi.org/10.5555/1070432.1070468openalex-snapshot
On geometric permutations induced by lines transversal through a fixed point
inferred← citeshttps://doi.org/10.5555/365411.365454openalex-snapshot
Geometric permutations of high dimensional spheres
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