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The maximum number of second smallest distances in finite planar sets

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What this work says

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

inferredcites →https://doi.org/10.1007/978-1-4612-2130-2_6openalex-snapshot
Infinite and Finite Sets
inferredcites →https://doi.org/10.1007/bf02187783openalex-snapshot
Combinatorial complexity bounds for arrangements of curves and spheres
inferredcites →https://doi.org/10.1007/bf02579184openalex-snapshot
On the lattice property of the plane and some problems of Dirac, Motzkin and Erdős in combinatorial geometry
inferredcites →https://doi.org/10.1016/0012-365x(87)90027-6openalex-snapshot
On large distances in planar sets
inferredcites →https://doi.org/10.1016/0097-3165(84)90047-5openalex-snapshot
Unit distances
inferredcites →https://doi.org/10.1080/00029890.1970.11992573openalex-snapshot
On Sets of Distances of n Points
inferredcites →https://doi.org/10.1080/00029890.1989.11972243openalex-snapshot
A Problem of Leo Moser About Repeated Distances on the Sphere
inferredcites →https://doi.org/10.2307/2305092openalex-snapshot
On Sets of Distances of n Points

What points at this work

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

inferred← citeshttps://doi.org/10.1002/9781118033203.biblioopenalex-snapshot
Bibliography
inferred← citeshttps://doi.org/10.1007/978-3-642-58043-7_12openalex-snapshot
Recent Developments in Combinatorial Geometry
inferred← citeshttps://doi.org/10.1007/s10474-019-00972-zopenalex-snapshot
Ordinal spaces
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(95)00043-7openalex-snapshot
Geometric orderings of intersecting translates and their applications
inferred← citeshttps://doi.org/10.1016/0925-7721(95)00055-0openalex-snapshot
The shortest distance among points in general position
inferred← citeshttps://doi.org/10.1016/j.disc.2013.05.007openalex-snapshot
Small distances in convex polygons
inferred← citeshttps://doi.org/10.1016/j.disopt.2009.04.003openalex-snapshot
On stars and Steiner stars
inferred← citeshttps://doi.org/10.1016/s0012-365x(98)00116-2openalex-snapshot
The multiplicity of the two smallest distances among points
inferred← citeshttps://doi.org/10.2140/cnt.2025.14.75openalex-snapshot
General penny graphs are at most -dense
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