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Extremal problems in discrete geometry
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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On some problems of elementary and combinatorial geometry
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Some combinational problems in geometry
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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General position subsets and independent hyperplanes in d-space
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Global well-posedness of the cubic nonlinear Schrödinger equation on $\mathbb{T} ^{2}$
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Incidences Between Points and Lines on Two- and Three-Dimensional Varieties
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The exact fitting problem in higher dimensions
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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…
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10.1016/b978-044488002-4/50019-1
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Arrangements of equal minors in the positive Grassmannian
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Two theorems on point-flat incidences
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The constant of point–line incidence constructions
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Highly incidental patterns on a quadratic hypersurface in R4
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Distinct distances in planar point sets with forbidden 4-point patterns
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On the number of directions determined by a three-dimensional points set
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On empty convex polygons in a planar point set
inferred← citeshttps://doi.org/10.1016/j.jcta.2009.03.008openalex-snapshot
Extremal problems on triangle areas in two and three dimensions
inferred← citeshttps://doi.org/10.1016/j.jcta.2010.11.008openalex-snapshot
On lines, joints, and incidences in three dimensions
inferred← citeshttps://doi.org/10.1016/j.jcta.2012.11.001openalex-snapshot
Improved bounds on the set A(A+1)
inferred← citeshttps://doi.org/10.1016/j.jcta.2013.06.004openalex-snapshot
Extensions of a result of Elekes and Rónyai
inferred← citeshttps://doi.org/10.1016/j.jcta.2014.08.004openalex-snapshot
On totally positive matrices and geometric incidences
inferred← citeshttps://doi.org/10.1016/j.jcta.2018.04.007openalex-snapshot
Zarankiewicz's problem for semi-algebraic hypergraphs
inferred← citeshttps://doi.org/10.1016/j.jcta.2021.105582openalex-snapshot
Incidences between points and curves with almost two degrees of freedom
inferred← citeshttps://doi.org/10.1016/j.jcta.2023.105813openalex-snapshot
Improved Elekes-Szabó type estimates using proximity
inferred← citeshttps://doi.org/10.1016/j.jctb.2009.03.005openalex-snapshot
A bipartite strengthening of the Crossing Lemma
inferred← citeshttps://doi.org/10.1016/j.jctb.2023.07.002openalex-snapshot
Ramsey numbers of semi-algebraic and semi-linear hypergraphs
inferred← citeshttps://doi.org/10.1016/j.jctb.2024.12.009openalex-snapshot
Kővári-Sós-Turán theorem for hereditary families
inferred← citeshttps://doi.org/10.1016/j.jmaa.2022.126574openalex-snapshot
Uniform distribution and geometric incidence theory
inferred← citeshttps://doi.org/10.1016/j.jnt.2012.10.010openalex-snapshot
Higher moments of convolutions
inferred← citeshttps://doi.org/10.1016/j.jnt.2020.06.014openalex-snapshot
Modular hyperbolas and bilinear forms of Kloosterman sums
inferred← citeshttps://doi.org/10.1016/j.laa.2014.04.007openalex-snapshot
Equal entries in totally positive matrices
inferred← citeshttps://doi.org/10.1016/j.laa.2023.03.010openalex-snapshot
Classification of maps sending lines into translates of a curve
inferred← citeshttps://doi.org/10.1016/j.patcog.2009.05.014openalex-snapshot
Approximate input sensitive algorithms for point pattern matching
inferred← citeshttps://doi.org/10.1016/s0001-8708(03)00004-5openalex-snapshot
On distinct sums and distinct distances
inferred← citeshttps://doi.org/10.1016/s0167-5060(08)70454-0openalex-snapshot
On Some Aspects of my Work with Gabriel Dirac
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