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The number of different distances determined by a set of points in the Euclidean plane
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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/bf02579194openalex-snapshot
Extremal problems in discrete geometry
inferredcites →https://doi.org/10.1016/0097-3165(84)90041-4openalex-snapshot
The number of different distances determined by n points in the plane
inferredcites →https://doi.org/10.1016/s0195-6698(83)80036-5openalex-snapshot
A Combinatorial Distinction Between the Euclidean and Projective Planes
inferredcites →https://doi.org/10.1080/00029890.1952.11988075openalex-snapshot
On The Different Distances Determined By n Points
inferredcites →https://doi.org/10.1080/00029890.1970.11992573openalex-snapshot
On Sets of Distances of n Points
inferredcites →https://doi.org/10.2307/2307105openalex-snapshot
On the Different Distances Determined by n Points
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/0-387-25592-3_2openalex-snapshot
Problems and Results on Geometric Patterns
inferred← citeshttps://doi.org/10.1007/978-3-319-32162-2_15openalex-snapshot
Erdős’s Unit Distance Problem
inferred← citeshttps://doi.org/10.1007/978-3-642-14444-8openalex-snapshot
An irregular mind : Szemerédi is 70
inferred← citeshttps://doi.org/10.1007/978-3-642-39286-3_17openalex-snapshot
The Beginnings of Geometric Graph Theory
inferred← citeshttps://doi.org/10.1007/978-3-642-58043-7_12openalex-snapshot
Recent Developments in Combinatorial Geometry
inferred← citeshttps://doi.org/10.1007/bf00150030openalex-snapshot
Three distinct distances in the plane
inferred← citeshttps://doi.org/10.1007/bf01231000openalex-snapshot
The second and the third smallest distances on the sphere
inferred← citeshttps://doi.org/10.1007/s00454-001-0009-zopenalex-snapshot
Distinct Distances in the Plane
inferred← citeshttps://doi.org/10.1007/s00454-006-1232-4openalex-snapshot
Distinct Distances in Homogeneous Sets in Euclidean Space
inferred← citeshttps://doi.org/10.1007/s00493-008-2099-1openalex-snapshot
Near optimal bounds for the Erdős distinct distances problem in high dimensions
inferred← citeshttps://doi.org/10.1007/s10998-008-8165-4openalex-snapshot
On distinct distances among points in general position and other related problems
inferred← citeshttps://doi.org/10.1016/0012-365x(95)00153-nopenalex-snapshot
Maximum planar sets that determine k distances
inferred← citeshttps://doi.org/10.1016/0012-365x(95)00208-eopenalex-snapshot
On the Erdős-diameter of sets
inferred← citeshttps://doi.org/10.1016/0925-7721(91)90009-4openalex-snapshot
Distinct distances determined by subsets of a point set in space
inferred← citeshttps://doi.org/10.1016/0925-7721(95)00020-8openalex-snapshot
The exact fitting problem in higher dimensions
inferred← citeshttps://doi.org/10.1016/j.disc.2009.10.026openalex-snapshot
A note on the number of different inner products generated by a finite set of vectors
inferred← citeshttps://doi.org/10.1016/j.endm.2013.11.033openalex-snapshot
On the Geometric Structures with n Points and k Distances
inferred← citeshttps://doi.org/10.1016/s0001-8708(03)00004-5openalex-snapshot
On distinct sums and distinct distances
inferred← citeshttps://doi.org/10.1016/s0012-365x(98)00276-3openalex-snapshot
Cardinalities of k-distance sets in Minkowski spaces
inferred← citeshttps://doi.org/10.1016/s0012-365x(99)90143-7openalex-snapshot
Cardinalities of k-distance sets in Minkowski spaces
inferred← citeshttps://doi.org/10.1017/s0963548304006091openalex-snapshot
Distinct Distances in Three and Higher Dimensions
inferred← citeshttps://doi.org/10.1017/s0963548311000137openalex-snapshot
Incidences in Three Dimensions and Distinct Distances in the Plane
inferred← citeshttps://doi.org/10.1017/s0963548397002976openalex-snapshot
Crossing Numbers and Hard Erdős Problems in Discrete Geometry
inferred← citeshttps://doi.org/10.1090/proc/13649openalex-snapshot
Pinned algebraic distances determined by Cartesian products in 𝔽_{𝕡}²
inferred← citeshttps://doi.org/10.1090/tran/8420openalex-snapshot
Distinct distances in the complex plane
inferred← citeshttps://doi.org/10.1134/s0081543818080114openalex-snapshot
Finite Point Configurations in the Plane, Rigidity and Erdős Problems
inferred← citeshttps://doi.org/10.1145/1810959.1811028openalex-snapshot
Incidences in three dimensions and distinct distances in the plane
inferred← citeshttps://doi.org/10.1145/378583.378606openalex-snapshot
On the distinct distances determined by a planar point set
inferred← citeshttps://doi.org/10.1145/780542.780621openalex-snapshot
Distinct distances in three and higher dimensions
inferred← citeshttps://doi.org/10.1215/s0012-7094-00-10222-0openalex-snapshot
Smoothness of projections, Bernoulli convolutions, and the dimension of exceptions
inferred← citeshttps://doi.org/10.17846/amn.2015.1.1.24-43openalex-snapshot
Some Famous Problems of Discrete Geometry
inferred← citeshttps://doi.org/10.20382/jocg.v4i1a1openalex-snapshot
The number of distinct distances from a vertex of a convex polygon
inferred← citeshttps://doi.org/10.37236/8956openalex-snapshot
On Distinct Distances Between a Variety and a Point Set
inferred← citeshttps://doi.org/10.37236/9687openalex-snapshot
On Bipartite Distinct Distances in the Plane
inferred← citeshttps://doi.org/10.4007/annals.2015.181.1.2openalex-snapshot
On the Erdős distinct distances problem in the plane
inferred← citeshttps://doi.org/10.4310/mrl.1999.v6.n2.a13openalex-snapshot
Fourier bases and a distance problem of Erd\H os
inferred← citeshttps://doi.org/10.48550/arxiv.1610.03172openalex-snapshot
Pinned algebraic distances determined by Cartesian products in $\mathbb{F}_p^2$
inferred← citeshttps://doi.org/10.48550/arxiv.1805.08065openalex-snapshot
Finite point configurations in the plane, rigidity and Erdos problems
inferred← citeshttps://doi.org/10.48550/arxiv.math/0101195openalex-snapshot
Some connections between Falconer's distance set conjecture, and sets of Furstenburg type
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