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Lines, line-point incidences and crossing families in dense sets

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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/10.1007/978-1-4614-7258-2_36openalex-snapshot
On Mutually Avoiding Sets
inferredcites →https://doi.org/10.1007/bf01215345openalex-snapshot
Crossing families
inferredcites →https://doi.org/10.1007/bf02123006openalex-snapshot
Geometric methods in the study of irregularities of distribution
inferredcites →https://doi.org/10.1007/bf02187725openalex-snapshot
The maximum size of a convex polygon in a restricted set of points in the plane
inferredcites →https://doi.org/10.1007/bf02187831openalex-snapshot
Convex independent sets and 7-holes in restricted planar point sets
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/10.1007/bf02579194openalex-snapshot
Extremal problems in discrete geometry
inferredcites →https://doi.org/10.1090/dimacs/006/19openalex-snapshot
Notes on geometric graph theory
inferredcites →https://doi.org/10.1112/jlms/s2-44.2.351openalex-snapshot
Volume Ratios and a Reverse Isoperimetric Inequality
inferredcites →https://doi.org/10.1145/177424.177648openalex-snapshot
Cutting dense point sets in half

What points at this work

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

inferred← citeshttps://doi.org/10.1007/978-3-642-36763-2_33openalex-snapshot
The Visible Perimeter of an Arrangement of Disks
inferred← citeshttps://doi.org/10.1007/s00373-025-03006-4openalex-snapshot
Partitioning Complete Geometric Graphs on Dense Point Sets into Plane Subgraphs
inferred← citeshttps://doi.org/10.1007/s00453-003-1043-4openalex-snapshot
Combinatorial and Experimental Methods for Approximate Point Pattern Matching
inferred← citeshttps://doi.org/10.1007/s00454-003-2927-4openalex-snapshot
Nice Point Sets Can Have Nasty Delaunay Triangulations
inferred← citeshttps://doi.org/10.1007/s00454-004-1089-3openalex-snapshot
Dense Point Sets Have Sparse Delaunay Triangulations or ?... But Not Too Nasty?
inferred← citeshttps://doi.org/10.1016/b978-044482537-7/50003-6openalex-snapshot
Arrangements and Their Applications**Work by PA. was supported by Army Research Office MURI grant DAAH04-96-1-0013, by a Sloan fellowship, by an NYI award, and by a grant from the U.S.–Israeli Binational Science Foundation. Work by M.S. was supported by NSF Grants CCR-91-22103 and CCR-93-11127, by…
inferred← citeshttps://doi.org/10.1016/j.aim.2021.107779openalex-snapshot
Planar point sets determine many pairwise crossing segments
inferred← citeshttps://doi.org/10.1016/j.comgeo.2013.08.006openalex-snapshot
The visible perimeter of an arrangement of disks
inferred← citeshttps://doi.org/10.1016/j.comgeo.2019.01.008openalex-snapshot
Flip distance to some plane configurations
inferred← citeshttps://doi.org/10.1016/j.comgeo.2022.101899openalex-snapshot
On crossing-families in planar point sets
inferred← citeshttps://doi.org/10.1016/j.ipl.2007.09.003openalex-snapshot
Applying graphics hardware to achieve extremely fast geometric pattern matching in two and three dimensional transformation space
inferred← citeshttps://doi.org/10.1145/202840.606474openalex-snapshot
Reprints from Computing Reviews
inferred← citeshttps://doi.org/10.4230/lipics.gd.2024.9openalex-snapshot
On problems related to crossing families
inferred← citeshttps://doi.org/10.48550/arxiv.1905.00791openalex-snapshot
Flip Distance to some Plane Configurations
inferred← citeshttps://doi.org/10.48550/arxiv.cs/0110030openalex-snapshot
Dense point sets have sparse Delaunay triangulations
inferred← citeshttps://doi.org/10.5555/545381.545397openalex-snapshot
Dense point sets have sparse Delaunay triangulations: or "…but not too nasty"
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